Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 8 - Section 8.5 - More Area Relationships in the Circle - Exercises - Page 379: 28


A=$\frac{25}{3}$$\pi$$\approx$26.18 cm$^2$

Work Step by Step

The radius of the inscribed circle is equal to the apothem of the triangle. h=.5s$\sqrt 3$ h=5$\sqrt 3$ a=$\frac{1}{3}$h a=$\frac{5\sqrt 3}{3}$=radius A=$\pi$r$^2$ A=$\frac{25}{3}$$\pi$$\approx$26.18 cm$^2$
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