Mathematical and Physical Journal
for High Schools
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Problem C. 1358. (May 2016)

C. 1358. The pentagon \(\displaystyle ABCDE\) has an inscribed circle of centre \(\displaystyle O\) and radius \(\displaystyle r\). Given that the angle at vertex \(\displaystyle A\) is a right angle, \(\displaystyle \angle EOA=60^\circ\), and that triangle \(\displaystyle OCD\) is equilateral, find the area of the pentagon.

(5 pont)

Deadline expired on June 10, 2016.


Statistics:

53 students sent a solution.
5 points:Bukor Benedek, Cseh Noémi, Dávid Levente, Demeter Gergő, Édes Lili, Fajszi Bulcsú, Fekete Balázs Attila, Geretovszky Anna, Horváth Botond, Kis 999 Alexandra, Marozsák Tóbiás , Mikulás Zsófia, Molnár 410 István, Nagymihály Panka, Pinke Andrea, Póta Balázs, Pszota Máté, Riedel Zsuzsanna, Szécsi Adél Lilla, Szilágyi Éva, Weisz Máté, Zsombó István.
4 points:Czirják Lilla, Garamvölgyi István Attila, Kamenár Gyöngyvér, Markó Anna Erzsébet, Németh Csilla Márta, Páhoki Tamás, Paulovics Péter, Pintér 345 Balázs, Richlik Róbert, Sebe Anna, Tóth 111 Máté , Tubak Dániel, Varga 157 Kristóf, Vlaszov Artúr, Volford Anita, Weisz Viktória.
3 points:4 students.
2 points:9 students.
1 point:2 students.

Problems in Mathematics of KöMaL, May 2016