2015 UNCO Math Contest II Problems/Problem 2
Problem
![[asy] filldraw(circle((0,0),3),white); filldraw(arc((-1,0),2,0,180)--cycle,grey); filldraw(arc((-2,0),1,0,180)--cycle,white); filldraw(arc((1,0),2,180,360)--cycle,grey); filldraw(arc((2,0),1,180,360)--cycle,white); [/asy]](http://latex.artofproblemsolving.com/9/0/9/90940c195c7ddf633a9ce23edeb34c20870c8462.png)
Find the area of the shaded region. The outer circle has radius 
. The shaded region is outlined by half circles whose radii are 
and 
and whose centers lie on the dashed diameter of the big circle.
Solution
Pi×4-pi=3pi
See also
| 2015 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNCO Math Contest Problems and Solutions | ||
