Geometry Problem LinkedIn

Find the area of the intersection of the quarter circle arcs...

[url=http://www.linkedin.com/groupItem?view=&srchtype=discussedNews&gid=33207&item=5851023234849341443&type=member&trk=eml-anet_dig-b_pd-ttl-cn&fromEmail=&ut=2yMLBHX90-WC81]Problem source[/url] [url=http://imgur.com/Ijho03F]Original drawing[/url]