LOGICVILLE
 Mathematical Puzzles Cryptarithms Anagrams Cryptograms Doublets Logic Puzzles Magic Word Squares Sudoku Chess Fractal Puzzles Tangrams

 Intellectual Puzzles Bookstore List of Puzzles Analytical Puzzles Christmas Puzzles New Year's Puzzles Fractal Puzzles Easter Puzzles Nature Fractals Encrypted Quotations Fractal Images Baseball Puzzles Daily Fractal Puzzle Math Recreations Algebra Placement Cryptogram Challenge Sudoku Tangrams Tangram Stories Puzzle Categories Thanksgiving Quotes Christmas Quotes Christmas Logic New Year Resolutions Solutions Advertise With Us

 Solution to Puzzle 127.  CIRCULAR AMPHITHEATER A king wanted to build a circular amphitheater on a site which had been the ruins of an old fortress.  On this site, only three pillar had remained.  The king wanted to preserve those three pillars.  He asked his royal architects to design a circular amphitheater so that these pillars would be along the circumference of the amphitheater.  The distances of these pillars from each other were 720 feet, 962 feet, and 638 feet respectively.  What would be the radius of the amphitheater to be built?  Solution: It can be noted that  6382 + 7202 = 9622 This means that the three pillars are vertices of a right triangle.  A circle passing thru these three vertices would circumscribe the right triangle, with its diameter equal to the hypotenuse of the right triangle.  The diameter of the circular amphitheater would therefore be 962 feet, and its radius would be 481 feet. Support this site

From Our Books Collection

 The Last Recreations:  Hydras, Eggs, and Other Mathematical Mystifications Author:  Martin Gardner

Custom Search