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Damm [24]
3 years ago
12

Find the area of a circle circumscribed about an equilateral triangle whose side is 18 inches long

Mathematics
1 answer:
beks73 [17]3 years ago
7 0

let's recall that an equilateral triangle has all interior angles of 60°.

Check the picture below.

so as you can see, 2√3 = x = r, namely the radius of the circle.

\bf \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad \implies A=\pi (2\sqrt{3})^2\implies A=\pi (2^2)(\sqrt{3})^2\implies A=12\pi

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