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Monthly
Puzzle | April - May 2009 | Problema
del Mese • Puzzle du Mois
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 Puzzles
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Puzzle
# 121 Italiano  Français 
Difficulty
level:  ,
general math knowledge.
Circle
vs square
The
diameter a of the large semicircle below is 10 cm long.
Knowing that one of the vertices of the square meets the circumference of the
small circle at point P (see diagram below), try to
guess the area of the blue square WITHOUT using trigonometry!
[enlarge]
Keywords:
sangaku.
Related
puzzles:
- Perpendicular
or not?
- Ratio of similar
triangles.
 Suggest a
solution
 - Area
incognita
Il diametro a del semicerchio qui sopra
vale 10 cm; sapendo che un vertice del quadrato (punto P)
appartiene anche alla circonferenza piccola, qual è l'area
del quadrato? È vietato utilizzare la trigonometria per
risolvere questo problema!
Parole
chiave: sangaku.
Suggerisci una
soluzione Chiudi
 - La
surface X
Le diamètre a du demi-cercle
ci-dessus vaut 10 cm; sachant qu'un des sommets du carré (point P)
appartient aussi à la circonférence du petit cercle,
peux-tu nous dire quelle est l'aire du carré bleu? Il
est interdit d'utiliser la trigonométrie pour résoudre
ce problème!
Mots
clés: sangaku.
Propose une
solution Fermer
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/ Envoie la solution à:
Marie-Jo
Waeber
Archimedes' Lab
Casella Postale 1700
16100 Genova Centro
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