Question

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

Answer 1

Okay so,
Area of a circle = pir^2
So pir^2 = 49pi
Pi pi get cancelled, so r^2 = 49
Or r = 7 mi
So the surface area of a sphere is 4pir^2
Therefore, 4pir^2 = 4pi(49)
4*49=196pi mi^2.
The answer is B. :)

Answer 2

THANKS!