A circle has a radius of 4 ft. What is the area of the sector formed by a central angle measuring 3π2 radians? Use 3.14 for pi. Enter you

Question

A circle has a radius of 4 ft. What is the area of the sector formed by a central angle measuring 3π2 radians? Use 3.14 for pi. Enter your answer as a decimal in the box.

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Reagan 3 weeks 2021-09-25T08:21:15+00:00 2 Answers 0

Answers ( )

    0
    2021-09-25T08:22:23+00:00

    Answer:

    Area of the sector =  (  (\frac{3\pi}{2})/2   )*(4)^2   =  12\pi   = 37.699

    Step-by-step explanation:

    Remember that the formula for the area of a circular sector is given by

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

    Where     \theta      is the angle measures in radians, and    r    is the radius of the circle.

    For our problem  

                           \theta = \frac{3\pi}{2}

                           r = 4

    Therefore        Area of the sector =  (  (\frac{3\pi}{2})/2   )*(4)^2   =  12\pi   = 37.699

    0
    2021-09-25T08:22:28+00:00

    Answer:

    The answer is 37.68 I just took the test.

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