Answer:
Given that,
To find the shaded area in the given figure.
Step-by-step explanation:
Area of the shaded region is Area of the rectangle - Area of the semicircle
we get,
Area of the semicircle:
Diameter= 8 m
Radius= 8/2= 4 m
Area of the semicircle is,
![\pi r^2=\pi(4)^2](https://img.qammunity.org/2023/formulas/mathematics/college/wy3h7ki7dli128msxw5te1hz21tx3u9q6l.png)
The approximate value of pi is 3.14
Substitute the value we get,
![=(3.14)(16)](https://img.qammunity.org/2023/formulas/mathematics/college/ym33ra0wem1k6cc9qh90mz1xim8q7az9m6.png)
![=50.24](https://img.qammunity.org/2023/formulas/mathematics/college/w9i2wvlod3vy2u0p399t4aw3nb1m3z8wix.png)
Area of the rectangle is,
![=25*8=200](https://img.qammunity.org/2023/formulas/mathematics/college/j581ork1wo2sf8x3ihb7uiw2ztbcl1p4z9.png)
Area of the shaded region is,
![=200-50.24](https://img.qammunity.org/2023/formulas/mathematics/college/uka8md76ngovx12tjjdvys0hy70pbtexam.png)
![=149.76\text{ m}^2](https://img.qammunity.org/2023/formulas/mathematics/college/b24lhefl3w5evo06nsc6ulelbj67rtp3o2.png)
The best estimate for the area of the shaded region is 149.76 m^2.