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14 February, 00:26

A circle has an area of 225pift2 find the radius of the circle and find the diameter and circumference of the circle

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  1. 14 February, 00:40
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    radius: 15 ft diameter: 30 ft circumference: 30π ft

    Step-by-step explanation:

    The area is given in terms of the radius as ...

    A = πr^2

    so we can find the radius as ...

    r = √ (A/π)

    For your circle, the radius is ...

    r = √ (225π ft^2/π) = 15 ft

    The diameter is twice the radius, so is ...

    d = 2r = 2·15 ft = 30 ft

    And the circumference is π times the diameter:

    C = πd = π·30 ft = 30π ft
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