What is the area of the sector having a radius of 8 and a central angle of 5π3 radians? A. 320π/3 units² B. 50π units²

Question

What is the area of the sector having a radius of 8 and a central angle of 5π3
radians?
A. 320π/3 units²
B. 50π units²
C. 160π/3 units²
D. 140π/3units²

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Mia 2 weeks 2021-09-10T13:38:45+00:00 2 Answers 0

Answers ( )

    0
    2021-09-10T13:40:24+00:00

    Answer:\frac{160\pi }{3} units^2

    Step-by-step explanation:

    Given

    Angle subtended by sector is\frac{5\pi }{3}

    radius =8 units

    Area of sector=\frac{\theta }{2\pi }\pi r^2

    A=\frac{20\times 8\pi }{3}

    A=\frac{160\pi }{3}

    0
    2021-09-10T13:40:24+00:00

    Area of a full circle is PI x r^2

    Area = 3.14 x 8^2 = 200.96

    Area of a sector is area *  central angle / full circle

    Area = 200.96 x 5PI/3 / 2PI = 160PI/3

    Answer is C.

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