Chapter 12.3, Problem 14IP

To determine

To find: Area of given structure

Answer to Problem 14IP

  $\text{89}\text{.25sq-ft}$

Explanation of Solution

Given:

We know that

Radius of semi circle is $\frac{\text{7}}{\text{2}}\text{feet}$

Formula: $\text{Area of semi circle=}\frac{{\text{πr}}^{\text{2}}}{\text{2}}$

Calculation: $Totalarea={(area)}_1+{(area)}_2$

  $\begin{array}{l}\text{=10×7+}\frac{\text{1}}{\text{2}}\text{×π}{\left(\frac{\text{7}}{\text{2}}\right)}^{\text{2}}\\ \text{=70+}\frac{\text{1}}{\text{2}}\text{×}\frac{\text{22}}{\text{7}}\text{×}\frac{\text{7}}{\text{2}}\text{×}\frac{\text{7}}{\text{2}}\\ \text{=70+}\frac{\text{77}}{\text{4}}\\ \text{=89}\text{.25sq-ft}\end{array}$