Geometry Problem Solver
The circle
They give the tracks some problems can be solved automatically, the numerical values do not matter in the various examples.
Track 1
Calculate the length of the radius of a circle having a diameter of 10 cm.
Track 2
Calculate the length of the diameter of a circle having the radius of 5 cm.
Track 3
The radius of a circle measuring 20 cm. Calculate the circumference and the area of the circle.
Track 4
The diameter of a circle is 40 cm. Calculate the circumference and the area of the circle.
Track 5
The circumference of a circle is 30 cm. Calculate the radius of the circle and its diameter.
Track 6
A circle has an area of 30 cm². Calculate the radius of the circle and its diameter.
Track 7
A circle with center O has a radius of 50 cm. Draw from the point P outside the circle tangents PA and PB and joining the point O with tangent points A and B, you get the quadrilateral APBO. Knowing that the perimeter of the quadrilateral is 340 cm, calculate the measures of its sides.
Track 8
A circle with center O has a radius of 50 cm. Draw from the point P outside the circle tangent PA and joining the point O with the tangent point A and point P, we get a triangle APO. Knowing that the PO segment is 130 cm, calculate the area and perimeter of the triangle.
Track 9
A circle with center O has a radius of 50 cm. Draw from the point P outside the circle tangent PA and joining the point O with the tangent point A and point P, we get a triangle APO. Knowing that the PA segment is 120 cm, calculate the area and perimeter of the triangle.
Track 10
The chord AB of a circle is 36 cm and the distance from the center is 24 cm. Calculate the measure of the length of the circumference and area of a circle.
Track 11
The chord AB of a circle is 36 cm and the distance from the center is 24 cm. Calculates the length measurement of the perimeter of the triangle OBA and the area of the triangle.
Track 12
Two circles have diameters such that one is the 3/7 of the other and their sum is 120 m. How big is the height of the ring ?
Track 13
The diameter of a circumference is congruent to 3/5 of the side of an equilateral triangle having the area of 100 cm². Calculates the length of the circumference.
Track 14
The radius of a bicycle wheel measures 30 cm. How many meters of road has a bicycle path after 3000 spins ?
Track 15
From a point P trace tangents PA and PB with center O and radius 15 cm. The chord joining the points of tangency is 3/2 of its distance from the point P and their sum is 40 cm. Calculates the length of the circumference, perimeter and area of the quadrilateral OAPB.
Track 16
Calculate the length of two circumferences tangent internally knowing that the distance of their centers is 20 cm and that the radius of the ' a is 3 /5 of that of the other.
Track 17
The area of a circle circumscribed to a regular hexagon is 314.159 cm², calculates the area of the hexagon.
Track 18
The isosceles triangle ABC is inscribed in the circle with center O. Knowing that the length of the circumference is 275.69 cm and that the measure of the segment OH is 36.10 cm, calculates the perimeter and the area of the triangle.
Track 19
An isosceles triangle inscribed in a circle of radius 43.90 cm, has the relative height to the base of 80 cm. Calculate the perimeter and the area of the triangle.
Track 20
In a circle whose diameter is 100 cm, the isosceles triangle ABC inscribed does not contain the center. The height of the triangle relative to the side unequal size 36 cm. Calculate the length of the perimeter of the triangle and its area.
Track 21
A circular sector is limited by an arc length of 5 cm and π belongs to a circle having the diameter of 40 cm long. Calculate the area of the field and the angle corresponding.
Track 22
It should cover a table with material that costs € 20 per sqm. Calculate how much you spend, knowing that the diameter of the table is 150 cm.
Track 23
In a circle, having the radius of 10 cm, drawing a center angle of 90 ° and at least two angles at the circumference corresponding to it.
Track 24
Draw a circle with a radius of 5 cm and draw a chord AB is 2 cm from the center and a rope CD 3 cm away from the center. Which of the two strings of length greater ?
Track 25
Draw a circle and two ropes parallel and congruent. Knowing that the distance from the center of one of them is 3 cm, which is the distance between the two strings?
Track 26
In a circle with center O and radius 30 cm long considered the chord AB of 36 cm. Calculate the perimeter and area of the triangle ABO.
Track 27
Calculates the length of a chord of a circumference having the radius of 30 cm, knowing that is 24 cm from the center. Calculates the length of the circumference and the area of the circle. Calculate the perimeter and area of the triangle ABO.
Track 28
A circle has the radius of 30 cm and a rope is 36 cm. Which is the measure of the distance of the chord from the center of the circle ?
Track 29
Calculates the length of a chord of a circle having the diameter of 60 cm, knowing that is 24 cm from the center. Calculates the length of the circumference and the area of the circle. Calculate the perimeter and area of the triangle ABO.
Track 30
An isosceles triangle having its vertices the ends of a rope and the center of a circle, has the area of 240 cm². Knowing that the distance from the center of the rope is 24 cm, calculate the length of the radius of the circle.
Track 31
Two strings of a circumference are parallel and lie on opposite sides with respect to the center, they are distant from each 62 cm. Knowing that a string is 28 cm long and the circle's radius is 50 cm, calculate the length of the other string.
Track 32
The radius of a circle is 50 cm, and two parallel chords, situated on the same side of the center, are 96 cm long and 28 cm respectively. Calculates the distance between the two strings.
Track 33
A circle has the radius of 50 cm; two parallel chords AB and CD are located on opposite parts respect to the center and measure respectively 96 cm and 28 cm. Calculates the area and perimeter of the trapezoid that has for bases the two chords.
Track 34
An isosceles trapezoid has a height of 20 m, the base greater than 80 m, the base of less than 50 m. Calculate the radius of the circle circumscribed to the trapeze.
Track 35
The area of a circle is 400 π cm² and a central angle is 108°. Calculate : the length of the circumference; the arc length; the area of the circular sector.
Track 36
An arc of a circumference is 37.69908 cm and a central angle is 108°. Calculate the radius of the circle.
Track 37
A circular sector has an area of 120 π cm² and a central angle is 108 °. Calculate the radius of the circle.
Track 38
A chord of a circle is 80 cm and the distance from the center is 30 cm. Calculate the radius of the circle.
Track 39
A circle has a radius of 50 cm and a rope is 80 cm long. Calculate the central angle subtended by the chord.
Track 40
A circular sector has an area of 120 π cm² and a central angle is 108 °. Calculate the chord subtended relative.
Track 41
The area of a circular sector is 120 π cm² and a central angle is 108 °. Calculate : the length of the circumference; the arc length; the length of the chord AB.
Track 42
The length of a circle is 40 π cm and a central angle is 108 °. Calculate : the area of the circle; the arc length; the length of the chord AB; the area of the circular sector.
Track 43
The length of an arc is 12 π cm and a central angle is 108 °. Calculate : the area of the circle; the length of the circumference; the length of the chord AB; the area of the circular sector.
Track 44
The length of a rope is 32.360679774998 cm and a central angle is 108 °. Calculate : the area of the circle; the length of the circumference; the arc length; the area of the circular sector.
Track 45
The length of a rope is 32.360679774998 cm and the radius is 20 cm. Calculate : the area of the circle; the length of the circumference; the central angle; the area of the circular sector.
Track 46
The length of a rope is 32.360679774998 cm and the area of the circle is 400 π cm². Calculate : the length of the circumference; the central angle; the area of the circular sector.
Track 47
The length of a rope is 32.360679774998 cm and the length of the circumference is 40 cm π. Calculate : the area of the circle; the central angle; the area of the circular sector.
Track 48
The length of a rope is 32.360679774998 cm and the distance from the center is 11.755705045849 cm. Calculate : the length of the circumference; the area of the circle; the central angle; the arc length; the area of the circular sector.
Track 49
The length of an arc is 12 π cm and the radius is 20 cm. Calculate : the length of the circumference; the area of the circle; the central angle; the length of the rope; the area of the circular sector.
Track 50
The arc length is 12 cm and the circumference is 40 π cm long. Calculate : the area of the circle; the central angle; the length of the rope; the area of the circular sector.
Track 51
The length of an arc is 12 π cm and the area of the circle is 400 π cm². Calculate : the length of the circumference; the central angle; the length of the rope; the area of the circular sector.
Track 52
A central angle is 40 °. calculate the angle at the circumference
Track 53
An angle at the circumference is 20 °. calculates the angle at the center.
Track 54
The area of a circle is of 400 π cm² and an angle at the circumference is 54 °. Calculate : the length of the circumference; the arc length; the area of the circular sector.
Track 55
An arc of a circumference is 37.69908 cm and an angle at the circumference is 54 °. Calculate the radius of the circle.
Track 56
A circular sector has an area of 120 π cm² and an angle at the circumference is 54 °. Calculate the radius of the circle.
Track 57
A circular sector has an area of 120 π cm² and an angle at the circumference is 54 °. Calculate the chord subtended relative.
Track 58
The area of a circular sector is 120 π cm² and an angle at the circumference is 54 °. Calculate : the length of the circumference; the arc length; the length of the chord AB.
Track 59
The length of a circle is 40 π cm and an angle at the circumference is 54 °. Calculate : the area of the circle; the arc length; the length of the chord AB; the area of the circular sector.
Track 60
The length of an arc is 12 π cm and an angle at the circumference is 54 °. Calculate : the area of the circle; the length of the circumference; the length of the chord AB; the area of the circular sector.
Track 61
The length of a rope is 32.360679774998 cm and an angle at the circumference is 54 °. Calculate : the area of the circle; the length of the circumference; the arc length; the area of the circular sector.
Track 62
A trapezoid has bases for a diameter of a circumference of 50 cm long and a rope to it parallel 30 cm long. Calculate the perimeter and area of the trapezium.
Track 63
In a circle which has the radius of 50 cm long. make two parallel chords located on opposite sides with respect to the center and away from it respectively 14 cm and 48 cm. Calculates the area and perimeter of the trapezoid that has bases for the two strings.
Track 64
Draw a circle of radius 4 cm.
Track 65
Draw a circle with a diameter of 20 cm.
Track 66
Draw a circle of radius 20 cm.
Track 67
Track 68
Draw a circle of radius 10 cm and three lines : a secant. a tangent to the circumference and an outer.
Track 69
Draws a circle having the radius of 10 cm long. track two straight lines parallel to each other. respectively away 5 cm and 13 cm from the center of the circumference. How are the two lines with respect to the circumference ?
Track 70
Bring the tangents to a circle at the ends of a diameter 10 cm long. How are between them?
Track 71
Draw a circle with radius 10 cm long and three lines that away from the center respectively 6 cm. 15 cm and 10 cm. How are the lines with respect to the circumference ?
Track 72
The angle formed by the tangents BPA PA and PB conducted by a point P outside the circle of center O and radius 50 cm. is 45 °. Determines the width of the other corners of the quadrilateral PAOB.
Track 73
From an external point P to a circle with center O and radius 50 cm. the two track segments tangent PA and PB and consider the quadrilateral PAOB. Knowing that the angle O is 135 °. what are the amplitudes of the other corners of the quadrilateral ?
Track 74
From an external point P to a circle with center O and radius 50 cm. the two track segments tangent PA and PB and P merge with the center O. Knowing that the BPO is wide angle 22.5 °. what are the magnitudes of the angles of the quadrilateral ?
Track 75
Draw a circle with center O and radius 50 cm long and a point P outside the circle. trace the two tangent segments PA and PB. Knowing that the PO segment is 130 cm. calculate the perimeter and area of the quadrilateral PAOB.
Track 76
Draw a circle with center O. a point P outside the circle. trace the two tangent segments PA and PB. Knowing that the PO segment is 130 cm and the PA segment is 120 cm. calculate the perimeter and area of the quadrilateral PAOB.
Track 77
Draw from the point P outside the circle tangents PA and PB and join the center O with the points of tangency A and B. you get the quadrilateral APBO. Knowing that the PA segment is 120 cm and the perimeter of the quadrilateral is 340 cm. calculate : the circumference; the area of the circle; the area of the quadrilateral; the area of the triangle BOA; the area of the triangle BPA; the area of the circular sector subtended by the chord AB; the central angle AOB.
Track 78
A circle with center O has a radius of 50 cm. Draw from the point P outside the circle tangent PA and joining the point O with the tangent point A and point P. we get a triangle APO. Given that the area of the triangle is 3000 cm², calculate: the perimeter of the triangle; the circumference; the area of the circle.
Track 79
Leading by a point P outside a circle with center O and radius 50 cm. the two tangent segments PA and PB. we get the quadrilateral PAOB area of 6000 cm². Calculate : the distance of the point P from the center; the perimeter of the quadrilateral; the central angle AOB; the area of the circular sector subtended by the chord AB.
Track 80
Leading by a point P outside a circle with center O and radius 50 cm. the two tangent segments PA and PB. we get the quadrilateral PAOB. Knowing that the segment AB is 92.307 cm long. calculate : the area of the quadrilateral; the perimeter of the quadrilateral; the central angle AOB; the area of the sector subtended by the circular chord AB.
Track 81
The sum of the measures of the radii of the two circles is 140 cm and the measurement of the radius of one of them is 3/4 of the radius of the other; calculates the lengths of the two circles and the area of the two circles.
Track 82
The sum of the measurements of the diameters of the two circles is 280 cm and the measurement of the diameter of one of them is 3/4 of the diameter of the other; calculates the lengths of the two circles and the area of the two circles.
Track 83
The sum and difference of the measures of the radii of two circles are respectively 140 cm and 20 cm, calculate the lengths of the two circles and the area of the two circles.
Track 84
The sum and difference of the measurements of the diameters of two circles are respectively 280 cm and 40 cm, calculate the lengths of the two circles and the area of the two circles.
Track 85
The sum of the lengths of two circumferences is 200 π cm; calculates the measurements of their radii knowing that the ratio of the sizes of their diameters is 1/3.
Track 86
The sum of the lengths of two circumferences is 200 π cm; calculates the sizes of their diameters knowing that the ratio of the measures of their radii is 1/3.
Track 87
A bicycle has traveled 10 km; tachometer scored 5227.39 rpm, what is the radius of the wheel on which it is mounted tachometer ?
Track 88
Calculates the length of a semicircle having the radius of 50 cm.
Track 89
Calculates the length of a semicircle having the diameter of 100 cm.
Track 90
The sum and difference of the measures of the diagonals of a rhombus are respectively 34 m and 14 m. calculate the diameter of a circle equivalent to the roar.
Track 91
Calculates the measure of the radius of a circle equivalent to a rectangle with the measures of the size respectively of 80 cm and 50 cm.
Track 92
The sum and difference of the size of a rectangle are respectively of 130 cm and 30 cm; calculates the measure of the radius of the circle equivalent to the rectangle.
Track 93
The sum of the dimensions of a rectangle is 130 cm and their ratio is 8/5; calculates the radius of the circle equivalent to the rectangle.
Track 94
A rectangle has the area of 432 cm² and the base of 24 cm; calculates the extent of the area of the circle having the radius congruent to the diagonal of the rectangle.
Track 95
A rectangle has the area of 240 cm² and the height of 10 cm; calculates the extent of the area of the circle having the radius congruent to the diagonal of the rectangle.
Track 96
A rectangle has a base of 40 cm and a height of 30 cm; calculates the measure of the length of the circumference having the diameter congruent to the diagonal of the rectangle.
Track 97
A rectangle has a perimeter of 84 cm and a height of 18 cm; calculates the measure of the length of the circumference having the diameter congruent to the diagonal of the rectangle.
Track 98
A rectangle has a perimeter of 84 cm and a base of 24 cm, calculate the area of a circle whose diameter is congruent to the diagonal of the rectangle.
Track 99
A rectangle has a perimeter of 84 cm and a base of 24 cm, calculate the area of a circle whose diameter is congruent to the height of the rectangle.
Track 100
A rectangle has a perimeter of 84 cm and a height of 18 cm ; calculates the area of the circle having the radius congruent to the base of the rectangle.
Track 101
A diamond has an area of 480 square centimeters and the perimeter of 104 cm . Calculate the area of a circle having the radius congruent to the diagonal of the rhombus .
Track 102
A diamond has an area of 480 square centimeters and the perimeter of 104 cm . Calculate the area of a circle having a radius less congruent to the diagonal of the rhombus .
Track 103
A rhombus has a perimeter of 104 cm . Calculate the area of a circle having the radius congruent to the side of the rhombus .
Track 104
A rhombus has diagonals of 48 cm and 36 cm . Calculate : the side of the rhombus , the radius of the circle inscribed in the rhombus ; the length of the rope knowing that PQ is 8.64 cm from the center O ; the central angle subtended by the chord PQ ; the length of the arc subtended by the chord PQ .
Track 105
A rhombus has diagonals of 48 cm and 36 cm . Calculate : the side of the rhombus ; the radius of the circle inscribed in the rhombus ; the chord length PQ ; the central angle subtended by the chord PQ ; the length of arc subtended by the chord PQ ; the chord length PS the central angle subtended by the chord PS .
Track 106
Calculate the radius of a circle equivalent to a square with the area of 100 cm².
Track 107
Calculates the difference of the areas of a circle and a square that have the respective measures of the radius and the side of 20 cm .
Track 108
The sum of the measures of the radii of two circles is 130 cm and their ratio is 5/8 ; calculates the difference of the areas of the two circles .
Track 109
A trapezoid rectangle has a height of 24 cm and the bases to be a 5/6 of the other. Calculate the area of a circle that has a radius congruent to the oblique side knowing that the area of the trapezoid is 1320 cm².
Track 110
An isosceles trapezoid has the base greater than 80 cm, the minor base is 50 cm . Calculate : the area of the circle circumscribed to the trapeze knowing that the height is 48.75 inches ; the distance from the center of the chord AB ; the distance from the center of the rope CD ; la lunghezza the length of the arc AB ; the length of the arc CD ; the central angle AOB ; the central angle COD ; the area of the circular sector AOB ; < br > the area of the circular sector COD .
Track 111
A trapezoid rectangle has a height of 24 cm and the bases to be a 5/6 of the other. Calculate the area of a circle that has a radius congruent with the larger base knowing that the area of the trapezoid is 1320 cm².
Track 112
A trapezoid rectangle has a height of 24 cm and the bases to be a 5/6 of the other. Calculate the area of a circle that has a radius congruent to the diagonal knowing that the area of the trapezoid is 1320 cm².
Track 113
A rectangular trapezium has the height of 24 cm and the basis respectively of 60 cm and 50 cm . Calculate the radius of a circle congruent to the trapeze.
Track 114
A trapezoid rectangle has the area of 1320 cm² and the bases respectively of 60 cm and 50 cm . Calculate the area of a circle having the radius congruent to the height of the trapezoid .
Track 115
A trapezoid rectangle has the area of 1320 cm² and the bases respectively of 60 cm and 50 cm . Calculate the area of a circle having the diameter congruent to the diagonal of the trapezium .
Track 116
A trapezoid rectangle has a perimeter of 160 cm, the smaller base of 50 cm , height of 24 cm, and the oblique side of 26 cm . Calculate the area of a circle having the diameter congruent to the base of the trapezium .
Track 117
A trapezoid rectangle has the major base 60 cm , the minor base of 50 cm , height of 24 cm. Calculate the area of a circle having a circumference isoperimetric the trapeze .
Track 118
A trapezoid rectangle has a height of 24 cm and the bases to be a 5/6 of the other. Calculate the area of a circle which has the radius congruent to the smaller base knowing that the area of the trapezium is of 1320 cm² .
Track 119
An isosceles trapezoid has a height of 24 cm, and the bases which are one of the 5/7 of the other. Calculate the area of a circle which has the radius congruent to the smaller base knowing that the area of the trapezoid is 1440 cm² .
Track 120
An isosceles trapezoid has a height of 24 cm, and the bases which are one of the 5/7 of the other. Calculate the area of a circle which has the radius congruent to the greater base knowing that the area of the trapezoid is 1440 cm² .
Track 121
A trapezoid rectangle has a height of 24 cm and the bases to be a 5/6 of the other. Calculate the area of a circle that has a radius congruent to the diagonal minor knowing that the area of the trapezoid is 1320 cm².
Track 122
An isosceles trapezoid has a height of 10 cm and the bases which are one of the 7/17 of the other. Calculate the area of a circle that has a radius congruent to the diagonal knowing that the area of the trapezoid is 240 cm².
Track 123
An isosceles trapezoid has a height of 24 cm and the basis respectively of 60 cm and 50 cm . Calculate the radius of a circle congruent to the trapeze.
Track 124
An isosceles trapezoid has the area of 1320 cm² and the bases respectively of 60 cm and 50 cm . Calculate the area of a circle having the radius congruent to the height of the trapezoid .
Track 125
A trapezoid rectangle has the area of 360 cm² and the bases , respectively, 10 cm and 20 cm . Calculate the area of a circle having a diameter less congruent to the diagonal of the trapezoid .
Track 126
An isosceles trapezoid has an area of 240 cm² and the bases respectively of 34 cm and 14 cm. Calculate the area of a circle having the diameter congruent to the diagonal of the trapezoid .
Track 127
An isosceles trapezium has a perimeter of 186 cm , the smaller base of 50 cm , height of 24 cm, and the oblique side of 26 cm . Calculate the area of a circle having the diameter congruent to the base of the trapezium .
Track 128
An isosceles trapezoid has the major base 70 cm , the minor base of 50 cm , height of 24 cm. Calculate the area of a circle having a circumference isoperimetric the trapeze .
Track 129
Calculate the radius of a circular sector having area of 250 π cm² and 20 π cm long arc .
Track 130
Calculate the area of a circular sector having longbow 20 π cm and a radius of 25 cm .
Track 131
Calculates the arc of a circular sector having area of 250 π cm² and a radius of 25 cm .
Track 132
Calculates the length of an arc of circumference having a radius 10 cm , belonging to a sector of a circle equivalent to a square whose side is 10 cm long .
Track 133
A square has an area of 25 cm² ; measure calculates the area of a circle having the radius congruent to the diagonal of the square.
Track 134
A square has an area of 25 cm² ; measure calculates the area of a circle having the radius congruent to the side of the square .
Track 135
A square has a perimeter of 20 cm, calculate the length measurement of the circle with the diameter congruent to the side of the square .
Track 136
Calculate the diameter of a circle equivalent to a circular sector whose arc corresponding measure 20p cm , appartente to a circle whose radius is 15 cm long .
Track 137
A circle has the radius of 30 cm. Knowing that the chord AB is 36 cm long calculates the area of the circular segment .
Track 138
A circle has the radius of 30 cm. Knowing that the central angle is 73 ° 44 ' 23'' calculates the area of the circular segment .
Track 139
A circle has the radius of 30 cm. Knowing that the distance of the chord AB is 24 cm calculate the area of the circular segment .
Track 140
A circle has the radius of 30 cm. Knowing that the arc is long 38.609995656018 cm calculate the area of the circular segment .
Track 141
Calculate the area of a circular crown having rays of respectively 12 cm and 20 cm .
Track 142
Calculate the area of a circular ring whose diameter is 24 cm long and 40 cm.
Track 143
The diameter of a circle is congruent to the side of an equilateral triangle having the ' area of 100 cm². Calculates the length of the circumference.
Track 144
A circle is congruent to an equilateral triangle having a perimeter of 90 cm. Calculates the length of the circumference.
Track 145
A right triangle has catheti respectively 3 cm and 4 cm . Calculate the length of the circle whose radius is congruent to the hypotenuse of the triangle.
Track 146
A right triangle has catheti respectively 3 cm and 4 cm . Calculate the length of the circle whose diameter is 3/4 of the hypotenuse of the triangle.
Track 147
A right triangle has catheti respectively 3 cm and 4 cm . Calculates the length of the circumference whose diameter is 3/4 of the larger cathetus .
Track 148
A right triangle has catheti respectively 3 cm and 4 cm . Calculate the length of the circle whose radius is 3/ 4 of the cathetus greater .
Track 149
A right triangle has catheti respectively 3 cm and 4 cm . Calculate the length of the circle whose radius is 3/ 4 of the cathetus minor.
Track 150
A right triangle has catheti respectively 3 cm and 4 cm . Calculates the length of the circumference whose diameter is 3/4 of the minor cathetus .
Track 151
A right triangle has the area of 6 cm² and the ratio between the two cathetuses is 3/4 . Calculate the length of the circle whose diameter is less congruent to the cathetus.
Track 152
A right triangle has the area of 6 cm² and the ratio between the two cathetuses is 3/4. Calculates the length of the circumference whose radius is congruent to cathetus greater.
Track 153
The radius of a circle is congruent to the hypotenuse of a right triangle having two sides 3 cm long and 4 cm. Calculate the length of the circumference and the circle area.
Track 154
A circle has a radius equal to 2/5 of the side of a square with the area of 625 cm². Calculate the length of the circumference and the circle area.
The program for solving problems can give answers completely wrong.
prof. Pietro De Paolis
2014
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