We are asked to find the area of the given circle.
As you can see from the figure, the diameter of the circle is 13 km
Recall that the area of a circle is given by
[tex]A=\pi\cdot\frac{D^2}{4}[/tex]Where π is a constant and D is the diameter of the circle.
Let us substitute π = 3.14 and D = 13 km into the above formula
[tex]\begin{gathered} A=\pi\cdot\frac{D^2}{4} \\ A=3.14\cdot\frac{13^2}{4} \\ A=3.14\cdot\frac{169}{4} \\ A=3.14\cdot42.25 \\ A=132.665 \\ A=132.7\: km^2\quad (\text{rounded to the nearest tenth)} \end{gathered}[/tex]Therefore, the area of the given circle is 132.7 km²
