In Euclidean geometry, pi is the constant ratio of circumstance of a circle to the diameter. The size of the circle is irrelevant and the ratio will always be the same (about 3.14149…). Will pi stay constant with Taxicab Circles as well? In other words, would the value of pi stay the same for circles with different radii? Yes or no? Thoroughly explain your answer.

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
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In Euclidean geometry, pi is the constant ratio of circumstance of a circle to the diameter. The size of the circle is irrelevant and the ratio will always be the same (about 3.14149…). Will pi stay constant with Taxicab Circles as well? In other words, would the value of pi stay the same for circles with different radii? Yes or no? Thoroughly explain your answer.
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