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

Answer:

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