Question

Area of a circle is $A = \pi r^2$. Is it possible that both $A$ and $r$ are perfect integers.

score 273 · Answer 1 · 2013-05-18 18:33:15

273

Views

Area of a circle is $A = \pi r^2$. Is it possible that both $A$ and $r$ are perfect integers.

Published on 18 May 2013 - 18:33

score 861 · Answer 2 · 2013-05-18 20:39:03

861

Views

Is the value of $\pi$ in 2d the same in 3d?

Published on 18 May 2013 - 20:39

score 838 · Answer 3 · 2013-05-19 09:36:23

838

Views

Most elegant/simple proof of the irrationality of $\pi$

Published on 19 May 2013 - 9:36

score 3.4k · Answer 4 · 2013-05-22 18:02:38

3.4k

Views

Can you raise $\pi$ to a real power to make it rational?

Published on 22 May 2013 - 18:02

score 279 · Answer 5 · 2013-05-23 16:29:39

279

Views

Specifically, what is Pi besides a number allowing you to calculate the circumference of a circle?

Published on 23 May 2013 - 16:29

score 600 · Answer 6 · 2013-05-24 21:16:04

600

Views

Series for $\pi$ which correspond to apollonian gaskets or hyperbolic tilings of the unit disk

Published on 24 May 2013 - 21:16

score 73 · Answer 7 · 2026-03-27 19:31:38

73

Views

Does $i = -\frac{(2\;W({\pi\over2}))}{\pi}$

Published on 27 Mar 2026 - 19:31

score 1.6k · Answer 8 · 2026-03-26 08:08:56

1.6k

Views

Trying to prove that $\sum_{j=2}^\infty \prod_{k=1}^j \frac{2 k}{j+k-1} = \pi$

Published on 26 Mar 2026 - 8:08

score 594 · Answer 9 · 2013-06-21 18:37:10

594

Views

Yet another $\sum = \pi$. Need to prove.

Published on 21 Jun 2013 - 18:37

score 57 · Answer 10 · 2013-06-22 02:55:32

57

Views

Does $n \log\left(\cos\left(\frac{\pi\,n!}{n^2}\right )\right ) \neq 0 \implies n = p$?

Published on 22 Jun 2013 - 2:55

score 267 · Answer 11 · 2013-06-28 09:28:17

267

Views

Are the first $n$ digits of $\pi$ equal to the second $n$ digits for some $n\ge1$?

Published on 28 Jun 2013 - 9:28

score 4.5k · Answer 12 · 2013-06-28 12:25:44

4.5k

Views

Does $\pi$ contain the combination $ 1234567890$?

Published on 28 Jun 2013 - 12:25

score 375 · Answer 13 · 2026-03-28 21:06:27

375

Views

What is the splitting field of $x^3 - \pi$?

Published on 28 Mar 2026 - 21:06

score 105 · Answer 14 · 2013-07-02 03:20:16

105

Views

I can not figure out the answer to this greatest integer problem

Published on 02 Jul 2013 - 3:20

score 1.9k · Answer 15 · 2013-07-02 07:32:04

1.9k

Views

How can we prove $\pi =1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}-\frac{1}{5}+\frac{1}{6}+\frac{1}{7}+\cdots\,$?

Published on 02 Jul 2013 - 7:32

List Question

Area of a circle is $A = \pi r^2$. Is it possible that both $A$ and $r$ are perfect integers.

Is the value of $\pi$ in 2d the same in 3d?

Most elegant/simple proof of the irrationality of $\pi$

Can you raise $\pi$ to a real power to make it rational?

Specifically, what is Pi besides a number allowing you to calculate the circumference of a circle?

Series for $\pi$ which correspond to apollonian gaskets or hyperbolic tilings of the unit disk

Does $i = -\frac{(2\;W({\pi\over2}))}{\pi}$

Trying to prove that $\sum_{j=2}^\infty \prod_{k=1}^j \frac{2 k}{j+k-1} = \pi$

Yet another $\sum = \pi$. Need to prove.

Does $n \log\left(\cos\left(\frac{\pi\,n!}{n^2}\right )\right ) \neq 0 \implies n = p$?

Are the first $n$ digits of $\pi$ equal to the second $n$ digits for some $n\ge1$?

Does $\pi$ contain the combination $ 1234567890$?

What is the splitting field of $x^3 - \pi$?

I can not figure out the answer to this greatest integer problem

How can we prove $\pi =1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}-\frac{1}{5}+\frac{1}{6}+\frac{1}{7}+\cdots\,$?

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