Question

A circle with a area 9 pie has a sector with a central angle of 60 degrees

What is the area of the sector?
Either the exact answer in terms of 3.14 and enter your answer as a decimal

Answer 1

4.71 square units

Explanation:

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