Use a piece of string that is 60 centimeters long. a. Arrange the string to form an
Question:
Use a piece of string that is 60 centimeters long.
a. Arrange the string to form an equilateral triangle and find the area. Next form a square and find the area. Then do the same for a regular pentagon, a regular hexagon, and a regular decagon. What is happening to the area?
b. Predict and then find the areas of a regular 60-gon and a regular 120-gon.
c. Graph the area A as a function of the number of sides n. The graph approaches a limiting value. What shape do you think will have the greatest area? What will that area be?
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Step by Step Answer:
Lets start by calculating the areas of each shape formed by the string Equilateral Triangle An equilateral triangle has all sides equal so we can divi...View the full answer
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Related Book For 
Holt McDougal Larson Geometry
ISBN: 9780547315171
1st Edition
Authors: Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
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