SOLUTION: The area of an equilateral triangle is 12cm2. The area of its inscribed circle is...

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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.
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
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.


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