What is the area of a sector with a central angle of (5 \pi )/(7) radians and a diameter of 5.6 in.? Use 3.14 for π and round your final answer to the nearest hundredth. Enter y…

Question

What is the area of a sector with a central angle of
`(5 \pi )/(7)` 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

Area of a sector (A) with a central angle (€) of 5π/7 radians and a diameter of 5.6 in.
Use 3.14 for π, radius (r) = d/2 = 5.6/2 = 2.8in.
A = (€ radians/2π radians)•π r^2
A = (5π7 radians/2π radians)•π (2.8in)^2
A = 5/14•π 7.84 in^2
A = 0.357•3.14•7.84 in^2
A = 8.79 in^2