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

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Answer 1 · 2015-05-16T01:59:06

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.

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