Question

How do you convert 150 degrees to exact radian measure?

Answer 1

Use:

`pi Radians = 180°`

e.g.for 53°: `Radians = ((53°)/(180°))*pi`.

So you could say that:
`x° Radians = (x° * pi)/180` where `x°` is the value to convert.

This gives:
`=0.925 Radians` (to 3DP)

So for your question:

`150° Radians = (x° * pi)/180`

`150° Radians = (150° * pi)/180`

`150° Radians = 471.239/180` (to 3DP)

`150° Radians = 2.618 Radians` (to 3DP)

I hope this helps!