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29 October, 05:32

The circumference of a circle is 15π centimeters. What is the area of the circle in terms of π?

A. 7.5π cm²

B. 15π cm²

C. 56.25π cm²

D. 225π cm²

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Answers (1)
  1. 29 October, 08:18
    0
    C. 56.25π cm²

    Step-by-step explanation:

    The circumference of a circle is given by

    C = 2 * pi * r

    15 pi = 2 * pi * r

    Divide each side by pi

    15 = 2r

    Divide by 2

    15/2 = 2r/2

    7.5 = r

    We want to find the area

    A = pi r^2

    A = pi (7.5) ^2

    A = pi * 56.25

    A = 56.25 pi
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