Question

In a circle of radius $7$ cm, an arc subtends an angle of ${108}^{\circ }$ at the centre. The area of the sector is $(\pi =\frac{22}{7})$

• A. $43.2c{m}^2$
• B. $44.2c{m}^2$
• C. $45.2c{m}^2$
• D. $46.2c{m}^2$

Answer 1

The correct option is D $46.2c{m}^2$

Required area of a sector $=\frac{\theta \times \pi r^2}{360}$

$=\frac{1}{2}\times \frac{108}{180}\pi {.7}^2$

$=46.2c{m}^2$ where $\pi =\frac{22}{7}$