Question

A circular sector has a central angle of π6 radians and a radius of 9 ft.

What is the area of the sector?

Use 3.14 for pi. Round your answer to the nearest tenth.

Enter your answer in the box.
area = ft2

Answer 1

given

π6radian=30°

radius r =9ft

the area of the sector=30°/360×π×r²

=30/360×22/7×9²=21.214ft²

Answer 2

`\approx \: 21.2 \: {ft}^(2)`

Explanation:

`central \: \angle = (\pi ^(c) )/(6) = 30 \degree \\ \\ area \: of \: the \: sector = (30 \degree)/(360 \degree) * \pi {(9)}^(2) \\ \\ = (1)/(12) * 3.14 * 81 \\ \\ = (1)/(12) * 254.34 \\ \\ = 21.195 \: {ft}^(2) \\ \\ \approx \: 21.2 \: {ft}^(2)`