Question

The central angle of a circle is 48 degrees. The radius is 10cm. What is the area of the sector? Round to the nearest hundredth.

Answer 1

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

Here,

• $\theta \: = 48\degree$
• r = 10,
• ${r}^{2} = {10}^{2} = 100$

Area of sector =

$\frac{48}{360} \times \frac{22}{7} \times 100 \:$

= 24/180 x 220/7

= 0.1 x 31.4

= 3.14