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What is the diameter of the largest circle lying on the surface of a sphere of surface area 616 sq cm?

Correct Answer: 14 cm

Explanation:

Surface area of sphere = 6616 cm2
4πr2 = 6166
⇒r2 = (6166 x 7)/(4 x 22)
⇒ r2 = 7 x 7
⇒ r = 7 cm
∴ Diameter of largest circle lying on sphere = 2 x r = 2 x 7 = 14 cm


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