Chapter 0.8, Problem 14E

To determine

To calculate: The area of the circle with radius 7.2 millimeters.

Answer to Problem 14E

The area of the circle is $\text{162}{\text{.8 mm}}^{\text{2}}$ .

Explanation of Solution

Given information:

A circle with radius 7.2 millimeters.

Formula used:

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

Calculation:

Consider the given statement that the radius of circle is 7.2 millimeters.

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

Apply it,

  $\begin{array}{c}A=\pi r^2\\ =3.14\times {\left(7.2\right)}^2\\ =3.14\times 51.84\\ =162.7776\end{array}$

Rounding off to the nearest tenth, we get,

  $A=162.8{\text{ mm}}^{\text{2}}$

Thus, the area of the circle is $\text{162}{\text{.8 mm}}^{\text{2}}$ .