Circle + Pythagorean theorem - practice problems - page 7 of 12
Number of problems found: 226
- Chord 2
Point A has a distance of 13 cm from the circle's center with a radius r = 5 cm. Calculate the length of the chord connecting the points T1 and T2 of contact of tangents led from point A to the circle. - Distance problem
A=(x, x) B=(1,4) Distance AB=√5, find x; - String 63794
The chord AB is in the circle k with a radius of 13 cm. The center C of the string AB is 5 cm from the center S of the circle. How long is the AB string? - Calculate 3562
The 16 cm long string is 6 cm from the circle's center. Calculate the length of the circle. - Chord 4
I need to calculate the circumference of a circle, and I know the chord length c=22 cm and the distance from the center d=29 cm chord to the circle. - Chord 3
The chord is 2/3 of the circle's radius from the center and has a length of 10 cm. How long is the circle radius? - Chord distance
The circle k (S, 6 cm) calculates the chord distance from the center circle S when the chord length is t = 10 cm. - Axial section
The axial section of the cylinder has a diagonal 36 cm long, and we know that the area of the side and the base area is in ratio 1:1. Calculate the height and radius of the cylinder base. - Eq triangle minus arcs
In an equilateral triangle with a 2cm long side, the arcs of three circles are drawn from the centers at the vertices and radii 1cm. Calculate the area of the shaded part - a formation that makes up the difference between the triangle area and circular cu - Chord 5
It is given a circle k / S; 5 cm /. Its chord MN is 3 cm away from the center of the circle. Calculate its length. - Calculate 4228
A circle k (S, 5cm) is given. Calculate the length of the chord of the circle k if it is 3 cm from the center S. - Two parallel chords
The two parallel chords of the circle have the same length of 6 cm and are 8 cm apart. Calculate the radius of the circle. - Rhombus
It is given a rhombus of side length a = 20 cm. Touchpoints of inscribed circle divided his sides into sections a1 = 13 cm and a2 = 7 cm. Calculate the radius r of the circle and the length of the diagonals of the rhombus. - The chord
Calculate a chord length where the distance from the circle's center (S, 6 cm) equals 3 cm. - Rhombus and inscribed circle
It is given a rhombus with side a = 6 cm and the radius of the inscribed circle r = 2 cm. Calculate the length of its two diagonals. - Quadrilateral 78874
Given is a quadrilateral ABCD inscribed in a circle, with the diagonal AC being the circle's diameter. The distance between point B and the diameter is 15 cm, and between point D and the diameter is 18 cm. Calculate the radius of the circle and the perime - Circle - analytics geometry
Write the equation of the circle that passes through the points Q[3.5] R[2.6] and has its center on the line 2x+3y-4=0. - Equation of the circle
Find the equation of the circle with the center at (1,20), which touches the line 8x+5y-19=0 - Construct 80719
Construct a rectangle ABCD if a = 8cm and the length of the diagonal AC is 13cm. Measure the length of the sides of the rectangle. - Prove
Prove that k1 and k2 are the equations of two circles. Find the equation of the line that passes through the centers of these circles. k1: x²+y²+2x+4y+1=0 k2: x²+y²-8x+6y+9=0
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