/sci/ - Science & Math

I can see how to do it. I'm not goingto bother actually doing it though.

the intersects between the arcs form a right angled triangle. use this to find out two of the corners of the shaded region. then calculate te straight-line length between these corners. calculate the area of the square within hte shaded region.
then consider the isoceles triangle going between one side of teh square and the opposite corner. find this angle. use this angle to find area of segment. subtract isoceles trangle are from this to get the area of he curvy parts you add to the square.

There's probably a faster way but I don;t care.