What is the approximate surface area of the sphere c=37.68?

QUESTION POSTED AT 18/04/2020 - 06:44 PM

Answered by admin AT 18/04/2020 - 06:44 PM

A = 4  \pi  R x^{2}
The question does not give you the radius so we have to get it from circumference
Circumference =  \pi (diameter)
Divide each side by  \pi : Diameter =  \frac{C}{ \pi }
Radius = 1/2 diameter : R =  \frac{C}{2 \pi }
Area = 4 \pi  R^{2}
4 \pi ( \frac{C}{2 \pi })^{2}  =
4 \pi   \frac{(C) ^{2} }{4 \pi ^{2} }
Divide top & bottom by 4 \pi : A=  \frac{(C) ^{2} }{ \pi }
Circumference = 37.68 units

Area =    \frac{(37.68)^{2} square units}{ \pi } = 451.93 square units

451.93 square units
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