Question

What is the area of a sector with a central angle of \frac{5 \pi }{6} radians and a diameter of 5.6 in.? Use 3.14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal

Answer 1

10.26 in²

Explanation:

The area (A) of the sector is

A = area of circle × fraction of circle

= πr² ×
`((5\pi )/(6) )/(2\pi )`

= π × 2.8² ×
`(5)/(12)` ≈ 10.26 in²