How do you convert 270 degrees to radians?

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Answer 1 · 2018-04-08T12:32:24

$\frac{3 π}{2}$ $(3pi)/2$

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 $pi$ :

$:.$

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