Circles
Chords, arcs, cyclic quadrilaterals, tangent properties, angle subtended at centre.
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5 practice questions for SZF IOM with instant answers — no signup, ~3 minutes.
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Take a full mock →Q1 · Circles · EASY
In a circle with centre O, a chord AB subtends an angle of 80° at the centre. What is the angle subtended by the same chord at a point P on the major arc?
Q2 · Circles · MEDIUM
Two chords AB and CD of a circle intersect at point E inside the circle. If AE = 6 cm, EB = 4 cm, and CE = 3 cm, find the length of ED.
Q3 · Circles · HARD
From an external point P, two tangents PA and PB are drawn to a circle with centre O. If the radius of the circle is 5 cm and the distance OP is 13 cm, find the length of each tangent.
Q4 · Circles · MEDIUM
A chord of length 16 cm is at a distance of 6 cm from the center of a circle. What is the radius of the circle?
Q5 · Circles · MEDIUM
The area of a circle is 616 cm². What is its circumference? (Use π = 22/7)