Chapter 2.5, Problem 16P

Solve each problem. Round to the nearest tenth, if necessary. Use 3.14 for pi.

What is the radius of a circle with circumference $13\text{ft}$?

To determine

To find: the radius of the given circle.

Answer to Problem 16P

The radius of the circle $\text{=2}\text{.1 ft}$ .

Explanation of Solution

Given information:

The circle has circumference $13\text{ ft}$ .

Calculation:

The circumference of the circle $=\text{2}\pi r$

  $\begin{array}{l}13=2\times \pi \times \text{ r}\\ r=\frac{13}{2(3.14)}\\ \text{ =2}\text{.07006}\\ \text{ =2}\text{.1 rounded to nearest tenth}\end{array}$

Hence, the radius of the circle $\text{=2}\text{.1 ft}$ .