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1 August, 10:33

Find the surface area of a sphere with a great circle that has an area of 49 π square miles.

A. 225π mi2

B. 196 π mi2

C. 126 π mi2

D. 343 π mi2

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Answers (1)
  1. 1 August, 10:37
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    The answer is B. 196 π mi2

    (1) Find radius r:

    The area of the circle is:

    A = r²π

    A = 49π mi²

    49π = r²π

    49 = r²

    r = √49 = 7 mi

    (2) Find the surface area of the sphere.

    The surface area of the sphere is:

    A = 4πr²

    r = 7 mi

    A = 4π * 7²

    A = 4π * 49

    A = 196π mi²
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