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C. 821. A unit square ABCD is rotated about its vertex C through 90o. Determine the area swept out by the side AB.

(5 points)

Deadline expired.


Google Translation (Sorry, the solution is published in Hungarian only.)

Megoldás:

T=T_{AA'D}+T_{ABD}=\left((\sqrt2)^2\pi\cdot{1\over4}-1\right)+\left(1-1^2\cdot\pi\cdot{1\over4}\right)={\pi\over4}.


Statistics on problem C. 821.
608 students sent a solution.
5 points:437 students.
4 points:44 students.
3 points:23 students.
2 points:9 students.
0 point:50 students.
Unfair, not evaluated:45 solutions.


  • Problems in Mathematics of KöMaL, October 2005

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