Chapter 7.3, Problem 5STP

Solve each exercise and enter your answer on the grid provided.

The radius of a circle is $0.00012\times {10}^5\text{ft}$.

What is the area of the circle? Use the formula $A=\pi r^2$.

To determine

To find: The area of the circle.

Answer to Problem 5STP

The area of the square is $4.526\times {10}^2{\text{ ft}}^2$

Explanation of Solution

Given:

Radius ( r ) = $0.00012\times {10}^5\text{ft}\text{.}$

Concept used:

The formula to compute the area of the circle is:

Area of the circle = $\pi r^2$

Calculation:

The area can be calculated as:

  $\begin{array}{c}\text{Area of the circle =}\pi r^2\\ =\frac{22}{7}\times {\left(0.00012\times {10}^5\right)}^2\\ =4.526\times {10}^{10-8}\\ =4.526\times {10}^2\end{array}$

Thus, the area of the square is $4.526\times {10}^2{\text{ ft}}^2$