A great circle of a sphere lies on its surface and contains its center. What is the circumference of a great circle of a sphere that has a surface area that measures 1,476 square centimeters?

NOTE: Π (or Pi) equals 3.14.

  • Approximately 68.1
  • 74.5
  • 86.1
  • 54.7

SA = 4Πr2 finds the radius.

4(3.14)r2 = 1,476cm2
12.56r2 = 1,476cm2
r2 = 117.51592356687898
r = 10.840476168825749 (or 10.84)

Place the value of the radius in the circumference formula (C = 2Πr)

C = 2(3.14)(10.84) = 68.0752 or approximately 68.1 (Answer 1).
The question from the test: Mathematical Reasoning GED.

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