Question

The triangle in the diagram represents a mold that Anna uses to shape dough before baking. Anna also has a circular mold whose rim just fits inside the rim of the triangular mold. What is the radius of the circular mold?

Answer 1

Hi! Do you have a formula for this?

Answer 2

I found one at
http://www.efunda.com/math/areas/CircleInscribeTriangleGen.cfm
That should help! :)

Answer 3

@theEric it still confuses me a bit can you explain it?

Answer 4

Okay! You need to find \(k\) to fit into the equation. \[k=\frac12(a+b+c)\]where \(a\), \(b\), and \(c\) are the lengths of the sides of your triangle.

Answer 5

Then you use those sides and \(k\) again in the expression
\[\frac{\sqrt{k(k-a)(k-b)(k-c)\ }}{k}\]
The value of that expression IS the radius.