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