Chapter 0.7, Problem 19E

To determine

To calculate: The perimeter of the figure provided below,

  

Answer to Problem 19E

The perimeter of the figure is $\text{10}\text{.3 feet}$ .

Explanation of Solution

Given information:

The figure is provided below,

  

Formula used:

Circumference $\left(C\right)$ of a semi-circle with diameter d is given by $C=\frac{\pi d}{2}$ .

Calculation:

Consider the provided figure,

  

In the above figure the diameter of the semi-circle is 4 feet and the perimeter is given by circumference of semi-circle.

Recall that the circumference $\left(C\right)$ of semi-circle with diameter d is given by $C=\frac{\pi d}{2}$ .

Apply it,

  $\begin{array}{c}C=\frac{3.14\times 4}{2}\\ =3.14\times 2\\ =\text{6}\text{.28 feet}\end{array}$

Here, the perimeter of the given figure is equal to sum of circumference and diameter of semi-circle.

  $\begin{array}{c}P=6.28+4\\ =10.28\text{feet}\end{array}$

Rounding off to the nearest tenth, we get,

  $P=10.3\text{ feet}$

Thus, the perimeter of the figure is $\text{10}\text{.3 feet}$ .