Question

Degrees to radians?

Answer 1

to change to degrees to radians multiply by 180/pi.

Answer 2

I can find it if given choices, for example if they ask me to convert 225 degrees to radians, i know its 5(pi)/4, I know that only because i substituted pi for 180, I've heard of formula, know of it?

Answer 3

To change degrees to radians divide by 180 and multiply by pi.
\[90degrees=\frac{90}{180}\times \pi=\frac{\pi}{2}radians\]

Answer 4

degrees and radians are just different ways to divide up a circle:
Radians divides the circle into 2 pi parts and degrees divides the circle into 360 parts.
2pi = 360
pi = 180
pi/2 = 90
etc.
Since angles are really just fractions of a circle
\[ {\pi \over 2 \pi} = {180 \over 360}\]
\[ {\pi/2 \over 2 \pi} = {90 \over 360}\]
And in general:
\[ {r \over 2 \pi} = {d \over 360}\]
Solving for r or d will allow you to convert between the two.
This is where the "formula" posted above comes from =)

Answer 5

Thank you!