Exams › SSC CGL (Prelims) › General

In a circle of radius r, a chord subtends an angle theta (measured in radians) at the centre. Which expression gives the length of the minor arc?

1. r theta
2. (1/2) r^2 theta
3. 2r sin(theta/2)
4. 2 pi r

Correct answer: r theta

Solution

For an angle theta in radians, arc length = r theta. The expression (1/2) r^2 theta is the sector area and 2r sin(theta/2) is the chord length, not the arc.

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