Question

Find the area of a sector with a central angle of 170° and a radius of 17 millimeters. Round to the nearest tenth. Question 9 options: 857.5 mm2 100.9 mm2 428.7 mm2 25.2 mm2

Answer 1

428.7 mm²

Explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

= πr² ×
`(170)/(360)`

= π × 17² ×
`(17)/(36)`

= 289π ×
`(17)/(36)`

=
`(289(17)\pi )/(36)` ≈ 428.7 mm²