Answer:
The area of the figure is 86.13
Explanation:
First, solve for the area in the triangle using the equation A = h*b/2
We have the height and the base which is 6. Plug in for the equation and solve.
A = 6*6/2
A = 36/2
A = 18
Next, solve the area for the rectangle using the equation A = w*l
The width is 6 and the length is 9. Plug in for the equation and solve.
A = 6*9
A = 54
And finally, solve for the area of the triangle using the equation A = pi*r^2
We know that pi is around 3.14 and the diameter is 6. We know that a diameter is twice the length of the radius, so we can divide the diameter by 2 and get the radius.
r = 6/2
r = 3
Now plug in the equation and solve.
A = 3.14*3^2
A = 3.14*9
A = 28.26
Since this is the area of a full circle, we need to divide the area of it by 2 to get the area of a half circle.
A = 28.26/2
A = 14.13
Next, add them all up and you will get your answer.
18 + 54 + 14.13 = 86.13
Hope this helps.