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27 March, 11:08

The circumference of a circle is 15 pie what is the area of the circle in terms of pie

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  1. 27 March, 11:20
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    Step-by-step explanation:

    We are given the circumference. The formula for circumference is

    C = πd where d is the diameter and C is the circumference.

    We are given C = 15π, so we have ...

    15π = πd

    Solving for d gives us ...

    15 = d (divide by π on both sides)

    The formula for area of a circle is

    A = π (r²) where A is the area, and r is the radius

    The radius is half of the diameter, so we divide 'd' by 2 to get the radius ...

    r = d/2 = 15/2 = 7.5

    The area of the circle is ...

    A = π (7.5) ²

    A = 56.25π units²
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