Q9. - Algebra 1

Question

Find the area of each figure. Round to the nearest tenth if necessary.

A semi-circle with a radius of 3 inches.

Step-by-Step Solution

Answer

The area of the semi-circle is $14.1 {\mathrm{in}}^2$.

Step 1. Given information.

A semi-circle with radius of 3 inches.

Step 2. Concept used.

Area of a semi-circle with radius r is given by $A=\frac{\pi r^2}{2}$.

Step 3. Calculations.

$$\begin{gathered} A=\frac{\pi r^2}{2} \\ =\frac{3.14\times 3^2}{2} \\ =\frac{3.14\times 9}{2} \\ =14.13\mathrm{in}{.}^2 \end{gathered}$$

Rounding off to the nearest tenth, we get,

$A=14.1\mathrm{in}{.}^2$

Thus, the area of the semi-circle is $14.1\mathrm{in}{.}^2$.