# Math

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

• Math -

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

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

• Math -

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

So would the answer be 144pi/180?
Which is 2.513?

• Math -

no, 180° is π radians, memorize that.

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

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°

If you take the formula which I gave you above and told you to memorize

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

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