A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the remaining will be used to form an equilateral triangle. (a) Find an expression for the sum of the areas of the two figures in terms of x. (b) What is the ratio of the shorter piece to the longer piece if the sum of the areas is a minimum?

A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the remaining will be used to form an equilateral triangle. (a) Find an expression for the sum of the areas of the two figures in terms of x. (b) What is the ratio of the shorter piece to the longer piece if the sum of the areas is a minimum?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...

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