Chapter 2.5, Problem 5STP

For Exercises $1-5,$ choose the correct letter.

A circle has circumference 10.99 yd. What is the radius of the circle? Round to the nearest tenth if necessary. (Use 3.14 for $\pi .$

)

A. 1.8 yd

B. 3.5 yd

C. 7 yd

D. 34.5 yd

To determine

To find: radius of circle

Answer to Problem 5STP

Option A is correct.

Explanation of Solution

Given information: Circumference of circle is $10.99\text{ yd}$

 

  $\text{Circumference of circle}=2\pi \times \text{radius}$

Plugging values above,

  $\begin{array}{l}\text{10}\text{.99 yd}=2\pi \times \text{radius}\\ \text{radius}=\frac{\text{10}\text{.99 yd}}{2\pi }\\ \text{radius}=\frac{\text{10}\text{.99 yd}}{2\left(3.14\right)}\\ \text{radius}=\frac{\text{10}\text{.99 yd}}{6.28}\\ \text{radius}=1.75\text{ yd}\\ \text{radius}=1.8\text{ yd}\end{array}$