Question

Convert 270°into radius?

Answer 1

Recall that 1 degree equals `pi/180` radians

Explanation:

If 1 degree equals `pi/180` radians, then 270 degrees would equal 270 times `pi/180` radians.

`270*(pi/180)`

`(270pi)/180`

`(3pi)/2`

270 degrees is equal to `(3pi)/2` radians

Answer 2

`{3pi}/2`

Explanation:

I think the easiest way to convert between degrees and radians is to think of each angle as a fraction of a full circle. 270 degrees is `270/360` of a circle.

`270/360=3/4`

A full circle has 360 degrees or `2pi` radians.

Multiply the fraction by `2pi` and you get the angle in radians.

`3/4 times 2pi = {6pi}/4 = {3pi}/2`

Or...

Since `{2pi}/360` can be simplified to `{pi}/180` you can multiply degrees by `{pi}/180` to get radians. To get degrees from radians simply divide the expression by `{pi}/180`.