Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the area of the sector given r = 3 cm a

Question

Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the area of the sector given r = 3 cm and Θ = π 4 . A) 9π 8 cm2 B) 3π 4 cm2 C) 9π 2 cm2 D) 2π 9 cm2

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Ximena 2 weeks 2021-11-21T14:09:53+00:00 1 Answer 0

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    2021-11-21T14:11:34+00:00

    Answer:

    The area of sector with radius 3 cm and angle at center is \frac{9\pi }{8}   cm²

    Step-by-step explanation:

    Given as :

    The radius of circle = 3 cm

    The angle at the center of circle = Ф = \frac{\pi }{4} = 45°

    Now, Area of sector = \frac{\Pi r^{2}\times \Theta  }{360}

    Or, Area of sector = \frac{\Pi 3^{2}\times \ 45° }{360°}

    Or, Area of sector = \frac{\Pi 9\times \ 45° }{360°}

    Or, Area of sector = \frac{\Pi times \ 45° }{40°}

    Or, Area of sector = \frac{9\pi }{8}   cm²

    Hence The area of sector with radius 3 cm and angle at center is \frac{9\pi }{8}   cm²   Answer

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