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29 February, 04:14

A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the sphere which has a circumference of 508.68 yd. What is the surface area of the sphere? Use 3.14 for pi.

The surface area of the sphere is about ___ yd squared.

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  1. 29 February, 07:32
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    The surface area of the sphere is 1017.36yd²

    Step-by-step explanation:

    To solve this question, we have to determine the radius of the sphere from the circumference of the circle

    Circumference of the circle = 508.68 yd

    C = 2πr

    π = 3.14

    508.68 = 2 * 3.14 * r

    r = 508.68 / 6.28

    r = 81 yd

    Surface area of a sphere (A) = 4πr²

    A = 4 * 3.14 * 81

    A = 1017.36yd²

    The surface area of the sphere is 1017.36yd²
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