How do you convert 270 degrees to radians?

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Answer 1 · 2018-04-08T12:32:24

#(3pi)/2#

We know:

#color(red)(180^@ = pi \ \ \"radians"#

Dividing by #180^@#:

#(180^@)/(180^@) = (pi)/(180^@) \ \ \"radians"#

#1^@ = (pi)/(180^@) \ \ \"radians"#

We are looking for #270^@#:

Multiply by #270^@#

#270^@ = (270^@pi)/(180^@) \ \ \"radians"#

We now reduce the fraction to its lowest terms:

#270/180=27/18=3/2#

So:

#207^@=(3pi)/2 \ \ \"radians"#

The quick method for this is:

Divide the angle you have in degrees by 180, reduce it to its lowest terms, and then multiply by #pi#:

#:.#

#270/180=3/2 xx pi=(3pi)/2#