Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 8 - Section 8.5 - More Area Relationships in the Circle - Exercises - Page 392: 32

Answer

$ r = \frac{ab}{a+b+c}$

Work Step by Step

We know that Area equals $1/2bh$, which in this case is $1/2ab$. We know that area also equals $1/2rP$, where P is the perimeter, which in this case equals $a+b+b$. Thus, we find: $1/2ab = 1/2 (r) (a+b+c) \\ r = \frac{ab}{a+b+c}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.