Convert 270°into radius?

2 Answers
Mar 18, 2018

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

Mar 18, 2018

#{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#.