Question

The radius of a circle is 7 cm. Find area of the sector of this circle if the corresponding angle is
30°

Answer 1

Given:
Radius of the circle = 7 cm
Angle subtended at the centre, $\mathrm{\theta }$ = 30$°$
We know:
Area of a sector = $\frac{\mathrm{\theta }}{360}\times \mathrm{\pi }{r}^2$

Thus, we have:
Area of the sector = $\frac{30}{360}\times \frac{22}{7}\times 7^2$

= $\frac{462}{36}$
= 12.83 cm²