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english An orange rectangle is inscribed in a circle. Semi-circles are drawn on all four sides of the inscribed rectangle producing four ‘lunules’ or ‘crescents’. Show that the sum of the areas of the green crescents equals the area of the rectangle.
francais Un rectangle orange est inscrit dans un cercle. Des demi-cercles dessinés sur les quatre côtés du rectangle inscrit produisent quatre «lunules» ou «croissants». Démontrez que la somme totale des aires des croissants verts est égale à l'aire du rectangle.
italiano Un rettangolo arancione è inscritto in un cerchio. Vengono tracciati dei semicerchi su tutti e quattro i lati del rettangolo inscritto che producono quattro 'lunule" o "mezzelune". Dimostra che la somma delle aree delle mezzelune verdi è uguale all'area del rettangolo.

Sunday puzzle

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Text and images by Gianni A. Sarcone 
Labels: SUNDAY PUZZLE, puzzles to solve, recreational mathematics, semicircles
You can use the material shown on this page for educational purpose only as long as you credit us [© G. Sarcone,] and link back to
Creative Commons LicenseSunday Puzzle by Gianni A. Sarcone is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
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