Exams › SSC CGL (Prelims) › General

A circle has radius 10 cm, and a chord subtends an angle of \(60^\circ\) at the center. What is the length of the chord?

1. 5 cm
2. 10 cm
3. 10 \(\sqrt{3}\) cm
4. 10 \(\sqrt{2}\) cm

Correct answer: 10 cm

Solution

The chord length is given by \(2r\sin(\theta/2)\). Here \(r=10\) cm and \(\theta=60^\circ\), so the chord length is \(2\times 10\times \sin 30^\circ=20\times \frac12=10\) cm.

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