Answer:
124.5
Step-by-step explanation:
We need to use two different area formulas to get our final answer.
We need the area formula for the triangle = (h*b) / 2; h = height, b = base.
We also need the area for the circle = [tex]\pi r^2[/tex]. r is radius, we will replace pi with 3.14 per instructions.
To start off, let's do the circle. A = 3.14*r^2. r is given to us, r is 8.
So, just plug this into a calculator:
[tex]3.14(8^2)=200.96[/tex]
This would be the area of the circle if it was full, however, we only have half of the circle, so we will divide the area in half to get our final circle area, which is 100.48 ft.
Now, for the triangle. Our height is the radius of the circle, which is 8. And our base is 6 feet. Use the formula to get the area for the triangle.
A = 8*6 / 2 = 24
The area of the triangle is 24 feet. Now, we will combine the triangle area and circle area to get our final answer.
100.48 + 24 = 124.48
Round to the nearest hundredth and you get: 124.5 ft^2
