Answer is (b) 114.24 in.^2
Step by step
We have three figures here.
Let’s start with the square.
Area of a square is S x S
The sides are 8 x 8 = 64 in.^2
Now for the semi circles
Both semi circles have a diameter of 8, so the radius is 1/2 of diameter. Radius is 4.
Since we have two congruent semi circles that equal to a full circle, we will find the area of a full circle.
Formula for area of a circle is A= TT r^2
A = 3.14 x 4^2
A = 50.24 in.^2
Add the figures together
50.24 + 64 = 114.24 in.^2