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: 32

Answer

Area of the circle is $4\pi$ square feet. Circumference of the circle is $4\pi \text{ ft}$.

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: $A=\pi (2\;ft)^2$ $A=4\pi \;ft^2$ Hence, the area of the circle is $4\pi$ square feet. 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: $C=2\pi (2\text{ ft})$ $C=4\pi \text{ ft}$ Hence, the circumference of the circle is $4\pi \text{ ft}$.
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