Question

What is `(-5pi)/12` radians in degrees?

Answer 1

Convert by multiplying the expression by `180/pi`

Explanation:

`(5pi)/12 xx (180/pi)`

We can simplify the fractions before multiplying: the `pi`'s eliminate themselves and the 180 is divided by 12, which gives 15.

= 15 `xx` 5

= 75 degrees

The rule is the opposite when converting from degrees to radians: you multiply by `pi/180`.

Practice exercises:

1. Convert to degrees. Round to 2 decimals if necessary.

a) `(5pi)/4` radians

b) `(2pi)/7` radians

1. Convert to radians. Keep the answer in exact form.

a) 30 degrees

b) 160 degrees