Problem C. 821.

Order KöMaL!

ELTE

Competitions Portal

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

(5 points)

Deadline expired.

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

Our web pages are supported by:

ELTE