Chapter 0.8, Problem 15E

To determine

To calculate: The area of the circle with diameter 16 inches.

Answer to Problem 15E

The area of the circle is $\text{201 in}{\text{.}}^{\text{2}}$ .

Explanation of Solution

Given information:

A circle with diameter 16 inches.

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 diameter of circle is 16 inches.

Since, radius is half of the diameter, so, radius is 8 inches.

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

Apply it,

  $\begin{array}{c}A=\pi r^2\\ =3.14\times 8^2\\ =3.14\times 64\\ =200.96\end{array}$

Rounding off to the nearest tenth, we get,

  $A=201\text{ in}{\text{.}}^{\text{2}}$

Thus, the area of the circle is $\text{201 in}{\text{.}}^{\text{2}}$ .