Mathematical and Physical Journal
for High Schools
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Problem C. 1251. (October 2014)

C. 1251. Three circular segments are cut off a semicircular metal plate to form a trapezium. What should be the dimensions of the trapezium to minimize the area cut off?

(5 pont)

Deadline expired on November 10, 2014.


Statistics:

50 students sent a solution.
5 points:Bereczki Zoltán, Berta Dénes, Egyházi Anna, Fehér Balázs, Fényes Balázs, Fülöp Erik, Horváth Bendegúz, Jójárt Alexandra, Kasó Ferenc, Lénárt Levente, Mándoki Sára, Porupsánszki István, Sándor Gergely, Szász Róbert, Szépfalvi Bálint, Sziegl Benedek, Szűcs Dorina, Szücs Patrícia, Tamás 196 Attila, Tari Balázs, Török Réka .
4 points:Bálint Karola, Farkas Dóra, Juhász 333 Katalin, Matusek Márton, Mátyus Adrienn, Telek Máté László.
3 points:4 students.
2 points:7 students.
1 point:7 students.
0 point:2 students.
Unfair, not evaluated:3 solutions.

Problems in Mathematics of KöMaL, October 2014