Question 287584
Find the area of the circle inscribed inside the triangle with all three sides of length 12.
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s = 1/2 the perimeter = 18
{{{r = sqrt((s-a)(s-b)(s-c)/s)}}} radius of circle
{{{r = sqrt(6^3/18) = sqrt(12)}}}
{{{Area = pi*r^2 = 12pi}}}
Area =~ 37.699 sq units