Question

Find the area of a sector with a central angle of 170° and a radius of 17 millimeters. Round to the nearest tenth. 857.5 mm2100.9 mm2428.7 mm225.2 mm2

Answer 1

For use to be able to determine the area of a sector, we will be using the following formula:

`\text{ Are of Sector = }((\Theta)/(360^(\circ)))\pi r^2`

We get,

`\text{ Are of Sector = }((\Theta)/(360^(\circ)))\pi r^2`
`\text{= }((170^(\circ))/(360^(\circ)))(3.1416)(17)^2`
`\text{= }(0.4722)(3.1416)(289)`
`\text{Area of Sector = }428.72095728\text{ }\approx428.7\text{ mm}^2`

Therefore, the answer is 428.7 mm²