Below is an image of a square, 7 cm to a side, with four quarter-circles inscribed into it as showm.

Find the area of the shaded region in the center.

(In reply to First steps? by levik)

Hmmm... I tried to follow this method to a solution, but couldn't come up with anything...

It always seems that if only I could figure out how much "extra" overlap I get by adding the known pieces, I will figure out the shaded area, but I can never quite grasp it.

no offense, friedlinguini, but this problem SO begs for an "elegant" solution. Oh well.

Posted by levik on 2002-10-31 10:58:44