Question

the length of a sector is 24cm an its radius is 5cm then whats the area of sector?

Answer 1

Step-by-step explanation:

length of sector is

$\frac{theta}{360} \times 2\pi \: r = 24 \\ \frac{theta}{360} \times 2 \times \frac{22}{7} \times 5 = 24 \\ \: \frac{theta}{360} \times 2 \times 22 \times 5 = 168 \\ \frac{theta}{360} \times 11 \times 5 = 42 \\ \frac{theta}{360} = 0.7$

$area \: of \: sector = \frac{theta}{360} \times \pi \: {r}^{2} \\ = 0.7 \times \frac{22}{7} \times 25 \\ = 2.2 \times 25 = 55 {cm}^{2}$

hope this will help you..