(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
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter6: Circles
Section6.3: Line And Segment Relationships In The Circle
Problem 39E: The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle...
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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.
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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