Exams › SSC CGL (Prelims) › General

What is the central angle (in radians) of a sector with arc length 12 cm in a circle of radius 4 cm?

1. 2 radians
2. 3 radians
3. 4 radians
4. 5 radians

Correct answer: 3 radians

Solution

For a sector, arc length $s=r\theta$. Here $s=12$ cm and $r=4$ cm, so $\theta=12/4=3$ radians. Hence the central angle is 3 radians.

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