<p>Ok so theres a circle inscribed in a 3, 4, 5 triangle find the area of the cirlcle</p>
<p>So if a circle is inscribed in a right triangle and the triangle has sides 3, 4, and 5,
then the radius of the circle times the semiperimeter of the triangle equals the area of the right triangle which is 6.
The semiperimeter of the triangle is 6
so the radius of the circle is 1
The area of the circle is pi * 1^2 = pi.</p>
<p>hope that helps,
satscholar</p>
<p>The relevant formula goes in alphabetical order, if that helps you remember it: Area Equals Radius * Semiperimeter.</p>
<p>To prove that it’s correct, draw in the three line segments connecting the incenter to each vertex. You’ve partitioned the triangle into three smaller triangles, each of which has its base equal to a side of the triangle and height equal to the inradius. Add up their areas and you get half the radius times the perimeter.</p>