SOLUTION: Find the surface area of a sphere with a great circle that has an area of 49 π square miles. a.225π mi^2 b.126 π mi^2 c.196 π mi^2 d.343 π mi^2

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Question 591070: Find the surface area of a sphere with a great circle that has an area of 49 π square miles.
a.225π mi^2
b.126 π mi^2
c.196 π mi^2
d.343 π mi^2

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
A = pi*r^2

49*pi = pi*r^2

49 = r^2

r = 7

----------------------------

SA = 4pi*r^2

SA = 4pi*(7)^2

SA = 4*49*pi

SA = 196pi


So the answer is choice C)

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