Answer:
149.04 in^2
Explanation:
The image of the question can be seen below.
In the image, we can see two circles that intersect at a given point.
We know that the total area of the image is 350 in^2
We want to find the area of the shaded part.
Ok, this seems to be hard, so instead, let's find the area of the two non-shaded parts (two semicircles) and just subtract that area from the total area of 350in^2
The two non-shaded parts are half a circle of diameter 16 inches.
We know that for a circle of diameter D, the area is:
A = pi*(D/2)^2
Where pi = 3.14
And because we want to find the area of two semicircles of diameter 16 inches, is exactly the same as finding the area for a single circle of diameter 16 inches.
This is:
A = 3.14*(16in/2)^2 = 3.14*(8in)^2 = 200.96 in^2
Now we can just subtract this from the total area:
shaded area = total area - A
shaded area = 350 in^2 - 200.96 in^2
shaded area = 149.04 in^2