Adaptive Practice
Circles
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Easy
What is the radius of a circle with diameter 14 cm?
Easy
If the circumference of a circle is 44 cm, what is its radius? (Use π = 22/7)
Medium
The length of an arc of a circle is 11 cm and the radius is 7 cm. Find the angle subtended by the arc at the centre (in degrees).
Easy
The area of a circle is 154 cm². Find its radius. (Use π = 22/7)
Medium
Two circles touch each other externally. The sum of their radii is 20 cm and the distance between their centres is 20 cm. What is the length of the direct common tangent?
Medium
In a circle of radius 14 cm, a chord is 24 cm long. Find the distance of the chord from the centre.
Medium
If the radius of a circle is increased by 50%, by what percent does its area increase?
Hard
The length of a chord of a circle is equal to the radius of the circle. What is the angle subtended by the chord at the centre?
Hard
Two chords AB and CD of a circle intersect at right angles at point E inside the circle. If AE = 3 cm, EB = 4 cm and CE = 2 cm, find the length of ED.
Medium
A sector of a circle has an area of 154 cm² and radius 14 cm. Find the angle of the sector in degrees. (Use π = 22/7)