2007 Cyprus MO/Lyceum/Problem 6
From AoPSWiki
is a square of side length 2 and 
is an arc of the circle with centre the midpoint 
of the side 
and radius 2. The length of the segments 
is
Solution
(
are on 
, respectively)
Draw radii 
, both with length 
. 
, so we form 
right triangles. 
, and so 
.
See also
| 2007 Cyprus MO, Lyceum (Problems) | ||
| Preceded by Problem 5 | Followed by Problem 7 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
