What is the area of a sector with a central angle of  \frac{5 \pi }{7} radians and a diameter of 5.6 in.? Use 3.14

Question

What is the area of a sector with a central angle of  \frac{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

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    2021-09-04T15:50:12+00:00

    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

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