2000 AMC 8 Problems/Problem 19
Revision as of 19:53, 28 July 2011 by Mrdavid445 (talk | contribs) (Created page with "Three circular arcs of radius <math>5</math> units bound the region shown. Arcs <math>AB</math> and <math>AD</math> are quarter-circles, and arc <math>BCD</math> is a semicircle....")
Three circular arcs of radius 
units bound the region shown. Arcs 
and 
are quarter-circles, and arc 
is a semicircle. What is the area, in square units, of the region?
![[asy] pair A,B,C,D; A = (0,0); B = (-5,5); C = (0,10); D = (5,5); draw(arc((-5,0),A,B,CCW)); draw(arc((0,5),B,D,CW)); draw(arc((5,0),D,A,CCW)); label("$A$",A,S); label("$B$",B,W); label("$C$",C,N); label("$D$",D,E);[/asy]](http://latex.artofproblemsolving.com/1/6/7/167b9ff21c536661f151a22f707aa834b9ea8900.png)
