Chapter 0.8, Problem 16E

To determine

To calculate: The area of the circle with diameter 25 feet.

Answer to Problem 16E

The area of the circle is $\text{490}{\text{.6 ft}}^{\text{2}}$ .

Explanation of Solution

Given information:

A circle with diameter 25 feet.

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 25 feet.

Since, radius is half of the diameter, so, radius is 12.5 feet.

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

Apply it,

  $\begin{array}{c}A=\pi r^2\\ =3.14\times {12.5}^2\\ =3.14\times 156.25\\ =490.625\end{array}$

Rounding off to the nearest tenth, we get,

  $A=490.6{\text{ ft}}^{\text{2}}$

Thus, the area of the circle is $\text{490}{\text{.6 ft}}^{\text{2}}$ .