Question

Convert to degrees: (5pi/8)
How would I do this?

Answer 1

π radians = 180°
1 radian = 180/π °
5π/8 radians = (180/π)(5π/8)° = 112.5°


Qick way: think of the π as 180°
so 180 * 5/8 = 112.5

Answer 2

If I was converting radians to degrees would it be degrees x pi/180?

Convert to radians: 180 degrees.
So would the answer be 144pi/180?
Which is 2.513?

Answer 3

no, 180° is π radians, memorize that.

so for any degree conversion to radians
multiply by π/180
e.g 60°
= 60(π/180) radians = π/3 radians

summary:
to convert x radians to degrees --- > x (180/π)
to convert y degrees to radians ----> y (π/180)

e.g. π/6 radians = π/6(180/π) ° = 30°
45° = 45 (π/180) radians = π/4 radians

If you take the formula which I gave you above and told you to memorize
π radians = 180°

divide by π ----> 1 radian = 180/Ø degrees
if I divide by 180 ----> 1° = (π/180) radians