Chapter 0.8, Problem 12E

To determine

To calculate: The area of the figure provided below,

  

Answer to Problem 12E

The area of the circle is $\text{3}{\text{.1 km}}^{\text{2}}$ .

Explanation of Solution

Given information:

The figure provided below,

  

Formula used:

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

Calculation:

Consider the provided figure,

  

In the above figure the diameter of the circle is 2 km.

Since, the radius is half of the diameter, so, radius of circle is 1 km.

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

Apply it,

  $\begin{array}{c}A=\pi r^2\\ =3.14\times 1^2\\ =3.14\times 1\\ =3.14\end{array}$

Rounding off to the nearest tenth, we get,

  $A=3.1{\text{ km}}^{\text{2}}$

Thus, the area of the circle is $\text{3}{\text{.1 km}}^{\text{2}}$ .