Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 10 - Area - 10-7 Areas of Circles and Sectors - Practice and Problem-Solving Exercises - Page 664: 20

Answer

$1.5 \pi \ ft^2$

Work Step by Step

Let $A$ be the area of a sector of a circle . The area $(A)$ of a sector of a circle whose radius is $r$ is given by: $A=\pi r^2 \times \dfrac{Measure \ of \ the \ arc}{360^{\circ}}$ or, $A_{Top}=\pi r^2 \times \dfrac{m \widehat{TP}}{360^{\circ}}..(1)$ Radius, $r=6 \ ft$ and $m \widehat{TP}=15^{\circ}$ Plug the data in the equation (1) to obtain: $A_{TOP}=\pi (6)^2 \times \dfrac{15^{\circ}}{360^{\circ}}$ Therefore, we get , $Area=1.5 \pi \ ft^2$
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.