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Solution to Puzzle 73.  SEVEN CIRCLES

The formula for the circumference of a circle is &pi * D, where D is the diameter of the circle.  Let D1, D2, D3, D4, D5, D6 and D7 be the diameters of the seven circles.  Then, the sum of circumferences of the seven circles would be

π * (D1 + D2 + D3 + D4 + D5 + D6 + D7).


D1 + D2 + D3 + D4 + D5 + D6 + D7 = 60 cm.

The sum of circumferences of the seven circles is (π * 60) cm. or around 188.5 cm.

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The Last Recreations:  Hydras, Eggs, and Other Mathematical Mystifications

Author:  Martin Gardner



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