# Tick the correct answer in the following : Area of a sector of angle p (in degrees) of a circle with radius R is : (a) $$\frac{p}{180} \ × \ 2\pi R$$ (b) $$\frac{p}{180} \ × \ \pi R^2$$ (c) $$\frac{p}{360} \ × \ 2\pi R$$ (d) $$\frac{p}{720} \ × \ 2\pi R^2$$

We know that area A of a sector of angle $$\theta$$ in a circle of radius r is given by

$$A \ = \ \frac{ \theta }{360} \ × \ \pi r^2$$

But here , $$r \ = \ R$$ and $$\theta \ = \ p$$

$$\therefore$$ $$A \ = \ \frac{p}{360} \ × \ \pi R^2 \ = \ \frac{p}{720} \ × \ 2\pi R^2$$

$$\therefore$$(D) is the correct answer.