Question

The area of this circle is 84π m^2 what is the area of a 30 sector of this circle?

Answer 1

ANSWER

$7 {m}^{2}$

EXPLANATION

If the area of the circle is 84π m² , then the area of a 30° sector is just a proportion of the full circle.

The area of the 30° sector is

$\frac{30}{360} \times 84\pi \: {m}^{2}$

$= \frac{1}{12} \times 84 {m}^{2}$

$= 7 {m}^{2}$

Hence the area of the 30° sector of this circle is

$7 {m}^{2}$