Answer:
![A=39.26\ m^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/4e5pxiwqztq0rtu1lfif6rqts4xxrigyhl.png)
Explanation:
Given that,
The radius of a circle, r = 5 m
The central angle is 180 degrees
We need to find the area of a sector of a circle.
The formula for the area of sector of a circle is given by :
![A=(\theta)/(360)* \pi r^2\\\\A=(180)/(360)* \pi * (5)^2\\\\A=39.26\ m^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/hihlrsir528e691mn2dae8ggdgwvtf70os.png)
So, the area of the sector of a circle is
.