Mathematics: 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

Find the area of a sector with a central angle

cesaricastorena

15.03.2022

428.7 mm²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

= πr² × $\frac{170}{360}$

= π × 17² × $\frac{17}{36}$

= 289π × $\frac{17}{36}$

= $\frac{289(17)\pi }{36}$ ≈ 428.7 mm²

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