Question

How do you change `(-3pi)/2` radians to degree measure?

Answer 1

To convert a radian measure to degrees, multiply by `{180 \quad ^o}/{pi \quad \text{radians}}`

`{-3pi}/2 \text{radians}={-3pi}/2 \text{radians} *{180 \quad ^o}/{pi \quad \text{radians}} = -270\quad^o`

,

In the multiplication, the unit of radians cancels out which leaves the result in terms of degrees.

There are `180` degrees in `pi` radians. Therefore, multiplying by

`{180 \quad ^o}/{pi \quad \text{radians}}` is the same as multiplying by `1` which doesn't change

the actual size of the angle.