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. πR2θ360Let 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 =πR2Angle swept by 1∘ at the centre =πR2360∘Therefore, Angle swept by θ∘ at the centre =πR2360∘×θ∘

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