Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - 10.4 Area and Circumference - Exercise Set 10.4 - Page 647: 16

Answer

The circumference of the circle is$\text{18}\pi \text{ m or 56}\text{.6 m}$and the area of the circle is\[81\pi \text{ }{{\text{m}}^{2}}\text{ or 254}\text{.6 }{{\text{m}}^{2}}\].

Work Step by Step

A circle is a round plane figure whose boundary consisting of points equidistant from a fixed point (center). The area is expressed as the space enclosed between closed figures to the extent of a two-dimensional figure. Use the formula to compute the circumference of a circle can be shown below, $\begin{align} & \text{Circumference of circle}=\text{2}\pi r \\ & =\text{2}\times \pi \times 9\text{ m} \\ & =\text{18}\pi \text{ m} \end{align}$ Or, Circumference of circle $\approx 56.6\text{ m}$ Compute the area of the circle as mentioned below, \[\begin{align} & \text{Area of circle}=\pi {{r}^{2}} \\ & =\pi \times 9\text{ m}\times 9\text{ m} \\ & =81\pi \text{ }{{\text{m}}^{2}} \end{align}\] Or, Area of circle \[\approx \text{254}\text{.6 }{{\text{m}}^{2}}\] Hence, the circumference of the circle is$\text{18}\pi \text{ m or 56}\text{.6 m}$and the area of the circle is \[81\pi \text{ }{{\text{m}}^{2}}\text{ or 254}\text{.6 }{{\text{m}}^{2}}\].
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.