For this case we have that by definition, the area of a circle is given by:
![A = \pi * r ^ 2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ij95o7jp1qxi3o9udgpr23qsj4cch0flyv.png)
Where:
r: It is the radius of the circle
According to the statement we have:
![r = \frac {13} {2} = 6.5 \ m](https://img.qammunity.org/2021/formulas/mathematics/middle-school/8nepfh40srsg5y10dq8ftwkxhj9fxsjs9h.png)
Substituting:
![A = \pi * (6.5) ^ 2\\A = 3.14 * 42.25\\A = 132.665](https://img.qammunity.org/2021/formulas/mathematics/middle-school/tmbsng309s30402hxqfw0u5tdp7cy3zqh2.png)
We round, and we have that the area of the circle is approximately:
![A = 132.7 \ m ^ 2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/bgmm2rvnw6a4t84rhlesnrijkddrl83yjq.png)
Answer:
Option C