Posted by **Jill** on Friday, December 9, 2011 at 11:21am.

Convert to degrees: (5pi/8)

How would I do this?

- Math -
**Reiny**, Friday, December 9, 2011 at 11:29am
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

- Math -
**Jill**, Friday, December 9, 2011 at 11:34am
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?

- Math -
**Reiny**, Friday, December 9, 2011 at 11:44am
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/Ř degrees

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

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