Question

Find the angle of the sector given the radius and the area of the sector.

Radius = 12 ft
Area of sector is 339.3 ft2

Answer 1

270 degrees

Explanation:

`Area \: of \: the \: sector \\ \\ = ( \theta)/(360 \degree) * \pi {r}^(2) \\ \\ 339.3 = ( \theta)/(360 \degree) * 3.14 {(12)}^(2) \\ \\ 339.3 = ( \theta)/(360 \degree) * 3.14 * 144 \\ \\ \theta = (339.3 * 360 \degree)/(3.14 * 144) \\ \\ \theta = (122,148\degree)/(452.16) \\ \\ \theta= 270.143312 \degree \\ \\ \theta \approx \: 270\degree`