Question

6. Find the area of a sector with a central angle of 160° and a radius of 5.7 cm. Round to the nearest tenth.

Answer 1

`45.4 cm^2`

Explanation:

The area of the sector of a circle is given as:

`(\alpha )/(360) * \pi r^2`

where α = central angle of the sector

r = radius

The central angle of the sector is 160° and its radius is 5.7 cm. Its area is:

A =
`160/360 * \pi * 5.7^2`

A =
`45.4 cm^2`