Question

The area of a sector of a circle with radius r, making an angle of x° at the centre is
(a) $\frac{x}{180}\times 2\mathrm{\pi }r$
(b) $\frac{x}{180}\times \mathrm{\pi }{r}^2$
(c) $\frac{x}{360}\times 2\mathrm{\pi }r$
(d) $\frac{x}{360}\times \mathrm{\pi }{r}^2$

Answer 1

(d) $\frac{x}{360}\times \mathrm{\pi }{r}^2$

The area of a sector of a circle with radius r making an angle of $x°$ at the centre is $\frac{x}{360}\times \mathrm{\pi }{r}^2$.