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

Answer:

10.26 in²

Step-by-step explanation:

The area (A) of the sector is

A = area of circle × fraction of circle

  = πr² × $\frac{\frac{5\pi }{6} }{2\pi }$

  = π × 2.8² × $\frac{5}{12}$ ≈ 10.26 in²