Chapter 0.8, Problem 9E

To determine

To calculate: The area of a semi-circle with radius 3 inches.

Answer to Problem 9E

The area of the circle is $\text{3}{\text{.1 m}}^{\text{2}}$ .

Explanation of Solution

Given information:

A semi-circle with radius 3 inches.

Formula used:

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

Calculation:

Consider the provided statement a semi-circle with radius 3 inches.

Recall that area $\left(A\right)$ of a semi-circle with radius r is given by $A=\frac{\pi r^2}{2}$ .

Apply it,

  $\begin{array}{c}A=\frac{\pi r^2}{4}\\ =\frac{3.14\times 3^2}{2}\\ =\frac{3.14\times 9}{2}\\ =14.13\text{ in}{\text{.}}^{\text{2}}\end{array}$

Rounding off to the nearest tenth, we get,

  $A=14.\text{1 in}{\text{.}}^{\text{2}}$

Thus, the area of the semi-circle is $\text{14}\text{.1 in}{\text{.}}^{\text{2}}$ .