Question 1114707: The area of an equilateral triangle is 12cm2. The area of its inscribed circle is... Found 2 solutions by Alan3354, ikleyn:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! The area of an equilateral triangle is 12cm2. The area of its inscribed circle is... less than 12 cm^2.
The expression for the area A of an equilateral triangle via its side length "a" is
A = , which gives
a^2 = = = ====> a = .
Then the perimeter of the triangle is P = 3a = .
Finally, the radius of the inscribed circle is r = = = = centimeters.
And the area of the inscribed circle is = = cm^2.
