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

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Ranjan Kumar · Answer 1 · 2020-12-10T00:01:17+0000

Answer:

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