Question

A circle with radius 3 has a sector with a central angle of 60. What is the area of the sector?

Answer 1

Explanation:

`central \: \angle \: ( \theta) = 60 \degree \\ radius \: (r) = 3 \: units \\ \\ area \: of \: sector \\ = ( \theta)/(360 \degree) * \pi {r}^(2) \\ \\ = ( 60 \degree)/(360 \degree) * 3.14 * {(3)}^(2) \\ \\ = ( 1)/(6) * 3.14 * 9 \\ \\ = 3.14 * 1.5 \\ \\ = 4.71 \: {units}^(2) \\ \\ \purple{ \bold{area \: of \: sector = = 4.71 \: {units}^(2)}}`