Practice problem
Adding and Subtracting Areas

The outdoor swimming pool of Shangri La' Boracay Resort and Spa in the Phillipines. Image by Jung Hyun Ha via pixabay (Creative Commons CC0 for Commercial Reuse)
The designers of the above pool are creating a similar pool for another hotel. If the area of the entire space is and each of the 4 islands has a radius of , what area of the pool is taken up by water? Assume: Each island is the shape of a perfectly circular disk. The area of a circle is