Question

What is the area of a sector in a circle of radius 8cm,if the angle between the radii is 30°

Answer 1

16.75 square cm

Explanation:

`Area \: of \: sector = ( \theta)/(360 \degree) * \pi {r}^(2) \\ \\ = (30 \degree)/(360 \degree) * 3.14 * {8}^(2) \\ \\ = (1)/(12) * 3.14 * 64 \\ \\ = (1)/(3) * 3.14 * 16 \\ \\ = (1)/(3) * 50.24 \\ \\ = 16.7466667 \\ \\Area \: of \: sector = 16.75 \: {cm}^(2)`