Q19. - Algebra 1

Question

Find the perimeter of each figure. Round to the nearest tenth.

Step-by-Step Solution

Answer

The perimeter of the given figure is 10.3 ft.

Step 1. Given information.

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

Step 2. Concept used.

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

Step 3. Calculations.

The circumference of a circle is

$$\begin{gathered} C=\frac{3.14\times 4}{2} \\ =3.14\times 2 \\ =6.28\mathrm{feet} \end{gathered}$$

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

$$\begin{gathered} P=6.28+4 \\ =10.28\mathrm{feet} \end{gathered}$$

Rounding off to the nearest tenth, we get,

$P=10.3\mathrm{feet}$

Thus, the perimeter of the figure is 10.3 feet.