Question

Find the area of the shaded sector of the circle

Answer 1

119.78 square m.

Explanation:

`d = 28 \: m \implies \: r = 14 \: m \\ central \: \angle \:( \theta) \\ = 180 \:degree - 110 \degree \\ = 70 \degree \\ \\ area \: of \: sector \\ = ( \theta)/(360 \degree) * \pi {r}^(2) \\ \\ = (70 \degree)/(360 \degree) * (22)/(7) * {14}^(2) \\ \\ = (7)/(36) * (22)/(7) * 196 \\ \\ = (7)/(36) * (22)/(1) * 28 \\ \\ = (7)/(9) * 22 * 7 \\ \\ = (1078)/(9) \\ \\ = 119.777778 \\ \\ = 119.78 \: {m}^(2) \\`