Homework Help is Here – Start Your Trial Now!
Math
Geometry
In this quest You should perform 7. (a) On the (b) and th Assum that T (c) Using and b) (d) Archim over 20 method approxi

In this quest You should perform 7. (a) On the (b) and th Assum that T (c) Using and b) (d) Archim over 20 method approxi

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
See similar textbooks
icon
Related questions
Question
In this question we are going to find approximate values of T using geometrical constructions. You should perform the constructions using computer software and include them with your solution. 7. (a) On the same circle, inscribe and circumscribe squares. (b) Assuming the circle has a radius of 1, find the areas of the circle and the two squares, and then compare them to create an inequality for r: that is, you should be able to show that is between two numbers. Comment on how good this approximation is. (c) Using the fact that tan = v2-1 (but don't bother proving that fact), repeat parts a) and b) for inscribed/circumscribed octagons. Archimedes (of bathtub fame) used polygons inside and outside circles to approximate TT (d) over 2000 years ago, although he compared perimeters instead of areas. Research his method to find out what size polygon he used (that is, how many sides) and his final approximation for 7.
Transcribed Image Text:In this question we are going to find approximate values of T using geometrical constructions. You should perform the constructions using computer software and include them with your solution. 7. (a) On the same circle, inscribe and circumscribe squares. (b) Assuming the circle has a radius of 1, find the areas of the circle and the two squares, and then compare them to create an inequality for r: that is, you should be able to show that is between two numbers. Comment on how good this approximation is. (c) Using the fact that tan = v2-1 (but don't bother proving that fact), repeat parts a) and b) for inscribed/circumscribed octagons. Archimedes (of bathtub fame) used polygons inside and outside circles to approximate TT (d) over 2000 years ago, although he compared perimeters instead of areas. Research his method to find out what size polygon he used (that is, how many sides) and his final approximation for 7.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS