Question

Radius of a Sector is 5cm and length of its arc is 12cm Find the area of the sector​

Answer 1

Step-by-step explanation:

$length \: of \: an \: arc \: = \frac{theta}{360} \times 2\pi \: r \\ 12 = \frac{ theta }{360} \times 2\pi \: 5 \\ 12 = \frac{theta}{360} \times 10\pi \\ theta = \frac{432}{\pi} \\ area \: of \: sector = \frac{theta}{360} \times \pi {r}^{2} \\ = \frac{432}{360 \times \pi} \times \pi {5}^{2} \\ = 30 {cm}^{2}$