Chapter 11.3, Problem 11PPS

To determine

To calculate: The area of the circle.

Answer to Problem 11PPS

The area of the circle is $14.2i{n}^2$ .

Explanation of Solution

Given information: The diameter of the circle is $4.25in$ .

Calculation:

From the given information, diameter, $d=4.25in$ .

Therefore radius,

  $\begin{array}{l}r=\frac{d}{2}=\frac{4.25}{2}\\ r=2.125in\end{array}$

Area of a circle is given by, $A=\pi r^2$

  $\begin{array}{l}A=\pi \times {2.125}^2\\ A=3.141\times {2.125}^2\\ A=14.18\end{array}$

Area, $A=14.2i{n}^2$

The area of the circle is $14.2i{n}^2$ .