Problem C. 886. (February 2007)
C. 886. The wall of a building is decorated by a square with its circumscribed circle drawn. There is a semicircle drawn outwards on each side of the square as a diameter, so that the circular arcs form four crescent shaped figures. What is the length of the side of the square if the area of such a crescent is 1 m^{2}?
(5 pont)
Deadline expired on 19 March 2007.
Sorry, the solution is available only in Hungarian. Google translation
Megoldás. Jelölje a négyzet oldalát x. Ekkor egy Hold alakú mező területe:
=x^{2}(/8/8+1/4)=x^{2}/4.
Vagyis 1=x^{2}/4, ahonnan x=2 m.
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