The area of a sector of a circle with radius r, making an angle of x° at the centre is
Question:

The area of a sector of a circle with radius r, making an angle of  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 $\frac{x}{360} \times \pi r^{2}$.