SOLUTION: Find the area of an equilateral triangle (regular 3-gon) with the given measurement if the radius is 6inches

Question 315582: Find the area of an equilateral triangle (regular 3-gon) with the given measurement if the radius is 6inches
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Equilateral triangles do not have a radius. A circle circumscribed about an equilateral triangle does have a radius however. To the extent that is what you meant to say, that radius is related to the measure of the side of the triangle in the following fashion:

where

is the measure of a side of the equilateral triangle and

is the measure of the radius of the circumscribed circle.

I showed you in my last post how to calculate the area of an equilateral triangle using the measure of a side. Use the same method here.

John

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