Question

How do you take a radian in decimal form and put it into pi form?

Answer 1

Hmm I'm not exactly sure what you mean..
So like if you had something like 1.5708 radians and you wanted to relate it to pi?

Answer 2

Yes. I would like to change it from a form such as 1.5031 radians to pi/6. (Just an example)

Answer 3

If you have radians as a decimal and you wanted to have it as a multiple of pi, you could "factor" it out by multiplying and dividing by pi:
\( \displaystyle \text{radians} \times \frac{\pi}{\pi} = \frac{\text{radians}}{\pi} \times \pi \)
The stipulation would be that you need a calculator to divide radians by pi accurately or at least a good estimate

If you have a good memory, you might also be able to recognize a factor of pi involved such as with 6.28 radians being 2pi, but that would only work for so many cases that you can remember.

Answer 4

Here is that idea applied to the radian number you gave,
\[\Large\bf\sf 1.5031\quad=\quad \frac{1.5031}{\pi}\cdot \pi\quad=\quad 0.48 \cdot \pi\quad\approx\quad \frac{1}{2}\pi\]

Answer 5

Thank you very much. I greatly appreciate it!

Answer 6

You're welcome! Good luck with the Math! :)