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Enigma: No. 826 Crescents

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A RECTANGLE has sides and 1/, where is the golden ratio = ½ (5+1). The circle circumscribing the rectangle is drawn, and semicircles are constructed on each of the four sides.

What is the total area of the four "crescent moons", within the semi-circles, but outside the large circle?

A £10 book token will be awarded to the sender of the first correct answer opened on Thursday 13 July. The Editors' decision is final. Please send entries to Enigma 826, New Scientist, King's Reach Tower, Stamford Street, London SE99 0BB. The winner of Enigma 820 was Andrew Plant of Lymington in Hampshire.

Answer to Enigma 820

Hard cheese

No, you cannot clear the 6 squares in 1000 moves.



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