2007 Cyprus MO/Lyceum/Problem 6
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 |