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# Spheres :(

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How many inches are in the circumference of a great circle of a sphere which has surface area of $$196\pi$$ sq in? Express your answer in terms of $$\pi$$.

Aug 17, 2022

The formula for the radius of the sphere is $$4 \pi r^2$$. We know that this is equal to $$196 \pi$$. Setting these equal and solving for r, we find that $$r = 7$$, meaning the circumference is $$2 \pi r = \color{brown}\boxed{14 \pi}$$