Chapter 0.8, Problem 13E

To determine

To calculate: The area of the circle with radius 4 centimeters.

Answer to Problem 13E

The area of the circle is $\text{50}{\text{.2 cm}}^{\text{2}}$ .

Explanation of Solution

Given information:

A circle with radius 4 centimeters.

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 4 centimeters.

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

Apply it,

  $\begin{array}{c}A=\pi r^2\\ =3.14\times 4^2\\ =3.14\times 16\\ =50.24\end{array}$

Rounding off to the nearest tenth, we get,

  $A=50.2{\text{ cm}}^{\text{2}}$

Thus, the area of the circle is $\text{50}{\text{.2 cm}}^{\text{2}}$ .