How can i view solutions of Solve as multiples of pi in mathematica 10

Question

i am new to Mathematica and can't find the option to show solutions of Equations like

Solve[6.5 == 2 \[Pi]*r]

as multiple of pi. I only get the numerical output

{r -> 1.03451}

Thanks in advance.

Maybe this question is more suited for Mathematica.SE – Surb May 15 '15 at 08:34 — Surb, May 15 '15 at 08:34

score 0 · Accepted Answer · answered May 15 '15 at 08:36

0

Try filling in $13/2$ instead of $6.5$.

When using points, Mathematica will automatically treat everything numerically, and hence also gives rounded answers.

answered May 15 '15 at 08:36

Uncountable

Since I am lazy, I use to write $6.5=65/10$, $6.543=6543/1000$ ! May I confess that I don't understand why they don't rationalize automatically numbers ? – Claude Leibovici May 15 '15 at 08:54
@Claude Leibovici That's probably because mathematicians (the group demanding exact answers) usually use fractional notation, but people processing data from an experiment (think chemistry or physics), which is usually in decimal form, would rather want numerical answers. – Uncountable May 15 '15 at 09:06
I am part of the second group but I am very sensitive to the beauty of results given in closed form, whatever they are ! – Claude Leibovici May 15 '15 at 09:11

1 Answers1