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10 June, 20:44

What is the surface area of a sphere with a circumference of 50 ft? Round the answer to the nearest tenth.

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  1. 11 June, 00:36
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    The surface area of a sphere is:

    A=4πr^2

    And the circumference of a sphere (or circle) is:

    C=2πr

    Solving for r, r=C / (2π), and using that for r in the area equation gives you:

    A=4π (C / (2π) ^2

    A=4π (C^2 / (4π^2))

    A = (4πC^2) / (4π^2)

    A = (C^2) / π, since we are told that C=50 ft

    A=2500/π ft^2

    A≈795.8 ft^2 (to nearest tenth)
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