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Plot circles using the various historical approximations of Pi?

R Q
Posted 6 years ago

I want to be able to see the over or under approximations as a consequence of using older approximations of Pi such as 355/113 or 25/8 instead of the default value used by Mathematica.

I was not able to see any visible difference by using the ReplaceAll function to replace Pi. What kind of function can I use to to plot a circle to demonstrate these differences to students?

Thank you!

Attachments:
Approximation of Pi.nb
POSTED BY: R Q
4 Replies
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R Q
R Q
Posted 6 years ago

Thank you for your reply, JM.

If ? is not necessary to draw a circle, I will rephrase my question: What can I plot to demonstrate the consequences of using different approximations of ??
POSTED BY: R Q
J. M.
J. M.
Posted 6 years ago
POSTED BY: J. M.
R Q
R Q
Posted 6 years ago

Thank you for your response, Daniel.

Do I understand correctly that you are saying Pi plays no role in the plotting of a circle? If this is true, I'd like to know how they are plotted.
POSTED BY: R Q

(1) The Wolfram Language is case-sensitive. So Pi is not the same as pi.

(2) A Circle primitive is going to be a graphic of a circle. No substitution will change that.

(3) It is quite unclear, both from post and notebook, what exactly is the goal. A circle is a circle, independent of how ratio of circumference to diameter is evaluated.
POSTED BY: Daniel Lichtblau
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