(b) We can drawa square such that the perimeter of the square is made up of sides which are 4 tangents to the unit circle. By finding the perimeter of this square find a better approximation for n.
(b) We can drawa square such that the perimeter of the square is made up of sides which are 4 tangents to the unit circle. By finding the perimeter of this square find a better approximation for n.
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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![The perimeter of a circumscribed polygon was used to find an approximation for pi by
the ancient Greeks. They used the relationship n = where P is the perimeter of the
regular polygon.
1.
(a)
By considering the right-angled triangle drawn above, find the perimeter of
equilateral triangle, whose sides are 3 tangents to the unit circle (radius 1).
Hence use n = to find an approximation for 1.
We can draw a square such that the perimeter of the square is made up of sides
which are 4 tangents to the unit circle.
(b)
By finding the perimeter of this square find a better approximation for 1t.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51b4e2ec-bfa6-4f58-990d-bd20b72cbce7%2Fb84f9cae-e618-4445-a23f-dfe0ae8c4773%2Fgdr23ea_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The perimeter of a circumscribed polygon was used to find an approximation for pi by
the ancient Greeks. They used the relationship n = where P is the perimeter of the
regular polygon.
1.
(a)
By considering the right-angled triangle drawn above, find the perimeter of
equilateral triangle, whose sides are 3 tangents to the unit circle (radius 1).
Hence use n = to find an approximation for 1.
We can draw a square such that the perimeter of the square is made up of sides
which are 4 tangents to the unit circle.
(b)
By finding the perimeter of this square find a better approximation for 1t.
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