Problem Solving (PS) | A semicircle has an area of 40Π. What is its diameter?

Change the Semicircle into a Normal Circle. Then find the Diameter.

Area of a Circle is A = Π\(r^2\)
Semi Circle =\(\frac{1}{2}\) of a Circle.

So we can multiply the Area by 2 in order to get the Area of a full circle.

Semicircle has an area of\(40Π\)

Circle has an area of80Π

A = 80Π
Find the Radius.
r =\(\sqrt{80}\) = 4\(\sqrt{5}\)
r * 2 = Diameter

4\(\sqrt{5}\) * 2 = 8\(\sqrt{5}\)
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