Chapter 4, Problem 71CR

To determine

To find the distance from the center of the garden to the outside edge rounded off to the nearest tenth.

Answer to Problem 71CR

The distance from the center of the garden to the outside edge is $\text{14}\text{.9 feet}$ .

Explanation of Solution

Given information:

The formula for the area of circle is: $\text{A}=3.14{\text{r}}^2$

Where $\text{A}$ is the area of the circle and $\text{r}$ is the distance from the center of the circle to the outside edge.

The area of the circular garden is $700\text{ square feet}$ .

Formula used:

The following formula is used:

  $\text{A}=3.14{\text{r}}^2$

Calculation:

The distance from the center of the garden to the outside edge can be calculated by:

  $\begin{array}{l}\text{A}=3.14{\text{r}}^2\\ 700=3.14{\text{r}}^2\\ {\text{r}}^2=\frac{700}{3.14}\\ \text{r}=\sqrt{\frac{700}{3.14}}\\ \text{r}=14.93\text{ or 14}\text{.9 feet}\end{array}$

Hence, the distance from the center of the garden to the outside edge is $\text{14}\text{.9 feet}$ .