Circle + triangle - practice problems - page 10 of 17
Number of problems found: 325
- Chord
In a circle with a radius r=60 cm is the chord, 4× longer than its distance from the center. What is the length of the chord? - Nine-sided 36071
Calculate the surface area and volume of a regular nine-sided pyramid if the radius of the circle inscribed in the base measures ρ = 12 cm and the height of the pyramid is 24 cm - ABS, ARG, CONJ, RECIPROCAL
Let z=-√2-√2i where i2 = -1. Find |z|, arg(z), z* (where * indicates the complex conjugate), and (1/z). Where appropriate, write your answers in the form a + i b, where both a and b are real numbers. Indicate the positions of z, z*, and (1/z) on an Argand - Determine 6415
Determine the distance of two parallel chords of lengths of 7 cm and 11 cm in a circle with a radius of 7 cm.
- Circumscribed 22713
Calculate the circumference and the area of a regular ten-angle polygon if the radius of the circumscribed circle r = 20 cm. - Conditions 7186
Given an isosceles right triangle ABS with base AB. On a circle centered at point S and passing through points A and B, point C lies such that triangle ABC is isosceles. Determine how many points C satisfy the given conditions and construct all such point - 30-gon
At a regular 30-gon, the radius of the inscribed circle is 15cm. Find the side length a, circle radius R, circumference, and area. - Regular n-gon
Which regular polygon has a radius of circumscribed circle r = 10 cm and the radius of inscribed circle p = 9.962 cm? - Circle chord
Calculate the length of the chord of the circle with radius r = 10 cm, the length of which is equal to the distance from the circle's center.
- Calculate 65014
The radius of the circle is 5.5 cm. The height is 2.3 cm, which is the chord's distance. How can we calculate the length of the string? - Angle of deviation
The surface of the rotating cone is 30 cm² (with a circle base), and its surface area is 20 cm². Calculate the deviation of this cone's side from the base's plane. - Diagonals of pentagon
Calculate the diagonal length of the regular pentagon: a) inscribed in a circle of radius 12dm; b) a circumscribed circle with a radius of 12dm. - Hexagon 5
The distance of parallel sides of regular hexagonal is 61 cm. Calculate the length of the radius of the circle described in this hexagon. - Hexagon A
Calculate the area of a regular hexagon inscribed in a circle with radius r=9 cm.
- Circumference 30781
How many square decimeters of decorative paper are needed to make cone-shaped carnival hats for 46 first-graders if the first-graders head circumference is 49 cm and the cap height is 33 cm? Is it necessary to add 3% paper to the folds? - Calculate 79144
The circle's radius is r=8.9 cm, and the chord AB of this circle has a length of 16 cm. Calculate the distance of chord AB from the center of the circle. - Rectangular 26091
The circular running track has a diameter of 130 meters. Can a rectangular surface with dimensions of 12m and 50m be grassed inside the circle? - Chord AB
What is the chord AB's length if its distance from the center S of the circle k(S, 92 cm) is 10 cm? - Circumscribed 63824
In a regular decagon, the diameter of the circumscribed circle measures 10 cm. Determine the radius of the circle inscribed in this triangle.
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