Answer:
106.73 pi
Explanation:
540 is the area of everything because 3 * 18 is 540.
The formula for the area of a circle is pi*(r^2)
The top ball has a diameter of 6 so we divide that by 2 to get the radius, 3. We can plug that in to get pi*3^2
We can simplify that to pi * 9
The next ball has a diameter of 9. Divide by 2 to get the radius, 4.5.
Plug that in to get pi * (4.5^2) simplified to be pi *20.25
The last circle has a diameter of 12 so therefore it has a radius of 6.
Plug that in and you get pi*(6^2). Simply that to get pi * 36
To find the area of all the balls we just need to add them. We get 55.25 * pi.
To subtract it they need to be either not in pi or both in pi. I will make them both not pi.
65.25 * pi = 204.885
I used 3.14 as pie.
To find the shaded area we need to subtract 204.885 from 540. When we do that we get 335.12.
We need to divide by pi now to get in terms of pi.
335.12 / 3.14 = 106.726115
You can round this to 106.73 You can round to any digit you want.