A wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into the shape of an equilateral triangle. If we let x be a side of the equilateral triangle, and the sum of the areas of these figures is to be a minimum, what are the lengths of the circle and equilateral triangle respectively ?
A wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into the shape of an equilateral triangle. If we let x be a side of the equilateral triangle, and the sum of the areas of these figures is to be a minimum, what are the lengths of the circle and equilateral triangle respectively ?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.CR: Review Exercises
Problem 38CR: Prove that if semicircles are constructed on each of the sides of a right triangle, then the area of...
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