Question 1175812: A circle is inscribed in an equilateral triangle that has side lengths of 2√3. Find the number of square units in the area of the cirle?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! If you draw this out, the altitude is 3, because half the side length is sqrt (3) and if a 30-60-90 triangle has sqrt(3), and 2 sqrt(3) as sides, the third side is sqrt(3)^2 or 3.
the center of the circle is at the 2/3 mark of the altitude or radius 1. Also, the radius to a vertex has side sqrt(3), and the short side is 1.
The area of the triangle is 1/2 bh=1/2*2 sqrt(3)*3=3 sqrt(3) units
The area of the circle is π*r^2=π units
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