Answer: [tex]136.96\ ft^2[/tex]
Step-by-step explanation:
Given: A triangle is inside a circle where the triangle's base is on the circle's diameter .
Then the height of the triangle= radius of the circle.
Now, the radius of the circle=[tex]\frac{\text{diameter}}{2}=\frac{16}{2}=8\ \text{feet}[/tex]
Therefore,the height of the triangle=8 feet
Now, the Area of the shaded region=Area of circle-Area of triangle
[tex]=\pi r^2-\frac{1}{2}bh[/tex]
[tex]=3.14(8)^2-\frac{1}{2}(16)(8)\\=200.96-64\\=136.96\ ft^2[/tex]
