Q20. - Algebra 1

Question

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

Step-by-Step Solution

Answer

The perimeter of the given figure is 14.3 m.

Step 1. Given information.

In the figure, the diameter of the semi-circle is 4m and the other two sides of the right-angled triangle are 5m and 3m.

Step 2. Concept used.

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

Perimeter of a figure is given by sum of all sides of the figure.

Step 3. Calculations.

The circumference of semi-circle is

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

Here, the perimeter of the given figure is equal to the sum of circumference and two sides of the triangle.

$$\begin{gathered} P=6.28+5+3 \\ =14.28\mathrm{m} \end{gathered}$$

Rounding off to the nearest tenth, we get,

$P=14.3\mathrm{m}$

Thus, the perimeter of the figure is $14.3\mathrm{m}$.