Andy Rooney was a fellow who had the most singularly ingenious knack of doing everything the wrong way. He grew up in his humble Irish home full of mischief to the eyes of every one save his admiring mother. But, to do him justice, he neve... Read more of The Mishaps Of Handy Andy at Children Stories.caInformational Site Network Informational
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THE CRESCENT PUZZLE.

(Patchwork Puzzles)
Here is an easy geometrical puzzle. The crescent is formed by two
circles, and C is the centre of the larger circle. The width of the
crescent between B and D is 9 inches, and between E and F 5 inches. What
are the diameters of the two circles?


Answer:

Referring to the original diagram, let AC be x, let CD be x - 9, and let
EC be x - 5. Then x - 5 is a mean proportional between x - 9 and x, from
which we find that x equals 25. Therefore the diameters are 50 in. and
41 in. respectively.




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