SOLUTION: Find the circumference of a circle that can be inscribed in an equilateral triangle whose base is 60 inches.

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Question 1077196: Find the circumference of a circle that can be inscribed in an equilateral triangle whose base is 60 inches.
Found 2 solutions by addingup, Boreal:
Answer by addingup(3677) About Me  (Show Source):
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let the base be side a. The formula for the equilateral's inscribed circle's radius is:
:
a(sqrt3/6) = R
60(sqrt3/6) = R
10(sqrt3) = R
10(1.732) = 17.32

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The medians of an equilateral triangle meet two-thirds of the way to the opposite side.
With an equilateral triangle of side length 60, the radius of a circle is 1/3 the height, and the height is 30 sqrt(3), so the radius is 10 sqrt(3) and the circumference is 20*pi*sqrt (3)