Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.2 Geometry Essentials - A.2 Assess Your Understanding - Page A19: 31

Answer

Area of the circle is $25\pi$ square meters. Circumference of the circle is $10\pi \text{ m}$.

Work Step by Step

The area $A$ of a circle is given by the formula $A=\pi ^2r$ where $r$ is its radius. Substitute the given value to obtain: $A=\pi (5\text{ m})^2$ $A=25\pi \;m^2$ Hence, the area of the circle is $25\pi$ square meters. The circumference $C$ of a circle is given by the formula $C=2\pi r$ where $r$ is its radius. Substitute the given value to obtain: $C=2\pi (5\;m)$ $C=10\pi \;m$ Hence, the circumference of the circle is $10\pi \;m$.
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