Chapter 11.2, Problem 53SR

To determine

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

Answer to Problem 53SR

Circumference $C=18.84inch.$

Area $A=28.26inc{h}^2$ .

Explanation of Solution

Given information: Given figure is a circle of radius 3 inch.

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:

  $\begin{array}{l}C=2\pi r.\\ r=3inch,\pi =\mathrm{3.14.}\\ C=2\times 3.14\times 3\\ C=18.84inch.\end{array}$ .

The area of the circle of radius r is:

  $\begin{array}{l}A=\pi r^2.\\ r=3inch,\pi =\mathrm{3.14.}\\ A=3.14\times 3^2\\ A=28.26inc{h}^2.\end{array}$