SOLUTION: Find the area of a triangle with perimeter of 48cm, that has an inscribed circle with an area of 12.25 pi cm2

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Question 1018158: Find the area of a triangle with perimeter of 48cm, that has an inscribed circle with an area of 12.25 pi cm2
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!





One formula for the area of a triangle is A = r*s,

where r = radius of the inscribed circle and 

s = semiperimeter.

Area of inscribed circle is 12.25p

pr2 = 12.25p

Divide through by p

r2 = 12.25

r = sqrt%2812.25%29

r = 3.5

Semiperimeter = half of perimeter = expr%281%2F2%29%2A48=+24

A = r*s = 3.5*24 = 84 square centimeters.

Edwin