SOLUTION: Find the area of a triangle with perimeter of 48 cm, that has an inscribed circle with an area of 12.25 π cm^2.

Algebra ->  Triangles -> SOLUTION: Find the area of a triangle with perimeter of 48 cm, that has an inscribed circle with an area of 12.25 π cm^2.       Log On


   

Question 1109430: Find the area of a triangle with perimeter of 48 cm, that has an inscribed circle with an area of 12.25 π cm^2.
Answer by ikleyn(52771) About Me  (Show Source):
You can put this solution on YOUR website!
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If and when the circle is inscribed into a triangle,

the area of the triangle is half the product of its perimeter by the radius of the inscribed circle:

Area of the triangle = %28P%2Ar%29%2F2.

See the lesson
    - Proof of the formula for the area of a triangle via the radius of the inscribed circle
in this site.

Also,  you have this free of charge online textbook on Geometry
    GEOMETRY - YOUR ONLINE TEXTBOOK
in this site.

The referred lesson is the part of this online textbook under the topic "Area of triangles".


Save the link to this online textbook together with its description

Free of charge online textbook in GEOMETRY
https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson

to your archive and use it when it is needed.