• 0
Sign in to follow this  
Followers 0

Proof of Pi

Question

Posted · Report post

Assume we know nothing of Pi's actual value. Apparently, we think it is some random number generated by a calculator every time the Pi button is pressed. All we know that is 2*Radius*Pi is the circumference of a circle and pi*radius*radius is area. Use a unit circle to prove that Pi is >3 and <4.

0

Share this post


Link to post
Share on other sites

2 answers to this question

  • 0

Posted · Report post

Circumference of circle < perimeter of circumscribed square


2*Radius*Pi < 4* Side
but Side=2*Radius
so Pi < 4
Circumference of circle > Perimeter of inscribed regular hexagon
2*Radius*Pi > 6 * Side
but Side = Radius
thus Pi > 3
1

Share this post


Link to post
Share on other sites
  • 0

Posted · Report post

<tongue in cheek>

Since it has long been accepted that the proof is in the pudding, not in the pi, perhaps the puzzle is not solvable.

<remove tongue from cheek>

0

Share this post


Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!


Register a new account

Sign in

Already have an account? Sign in here.


Sign In Now
Sign in to follow this  
Followers 0

  • Recently Browsing   0 members

    No registered users viewing this page.