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Question

The area of a sector of angle θ of a circle with radius R is

(a) 2πRθ180

(b) πR2θ180

(c) 2πRθ360

(d) πR2θ360

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Solution

The correct option is D. πR2θ360



Let O be the centre of the circle with radius R units.

Let θ be the angle of the sector of the circle.

Now, we know that,

Angle swept by 360 at the centre =πR2

Angle swept by 1 at the centre =πR2360

Therefore, Angle swept by θ at the centre =πR2360×θ

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