Adaptive Practice

Circle Geometry

10 questions • Earn up to 107 XP • First attempt — go for 100%!

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Question 1 of 10 ⏱ 0:30
Easy
What is the measure of the angle subtended by a diameter of a circle at any point on the circle?
Easy
If the radius of a circle is 7 cm, what is the length of the diameter?
Hard
In a circle, two chords AB and CD intersect each other at point E inside the circle. If AE = 3 cm, EB = 2 cm, and CE = 4 cm, what is the length of ED?
Medium
The length of an arc of a circle with radius 14 cm is 44 cm. What is the measure of the central angle subtending this arc?
Medium
If the length of a chord is equal to the radius of the circle, what is the angle subtended by this chord at the centre?
Easy
Two circles touch each other externally. The distance between their centres is 17 cm. If the radius of one circle is 8 cm, what is the radius of the other circle?
Medium
In a circle, the length of the tangent from a point outside the circle is 24 cm, and the distance of the point from the centre is 25 cm. What is the radius of the circle?
Medium
If two chords AB and CD intersect inside a circle such that AE = 6 cm, EB = 4 cm, and CE = 3 cm, find the length of ED.
Hard
A chord of a circle is 24 cm long and is at a distance of 7 cm from the centre. Find the radius of the circle.
Medium
In a circle, the length of the tangent from an external point is 15 cm, and the radius of the circle is 9 cm. Find the distance of the point from the centre of the circle.

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