Chapter 11.2, Problem 55SR

To determine

To find: the circumference and area of the given figure and round to the nearest tenth.

Answer to Problem 55SR

Circumference $C=36.42\text{ft}$

Area $A=105.6{\text{ft}}^2$ .

Explanation of Solution

Given information: Given figure is a circle of radius 5.8 ft.

Formula used:

The circumference of the circle of radius r is:

  C = $2\pi r$ .

The area of the circle of radius r is:

  A = $\pi r^2.$

Calculation:

The circumference of the circle of radius r is:

  $\begin{array}{l}C=2\pi r.\\ r=5.8\text{ft},\pi =\mathrm{3.14.}\\ C=2\times 3.14\times 5.8\\ C=36.42\text{ft}\end{array}$ .

The area of the circle of radius r is:

  $\begin{array}{l}A=\pi r^2.\\ r=5.8\text{ft},\pi =\mathrm{3.14.}\\ A=3.14\times {5.8}^2\\ A=105.6{\text{ft}}^2.\end{array}$