How do you convert the following angle measurements in degrees into radians? #630^circ, 195^circ,-330^circ,165^circ#

1 Answer
Alan P.
Feb 6, 2017

(see below)

Explanation:

A complete circle is #360^@# or #2pi# radians.

Therefore #360^@=2pi# (radians)

#rarrcolor(white)("XXXXX")1^@=(2pi)/360# (radians)#

1)#color(white)("XXX")630^@=630xx(2pi)/180 = 7pi# (radians)#

2)#color(white)("XXX")195^@=195xx(2pi)/360=13/6pi# (radians)

3)#color(white)("XXX")-330^@=(-330)xx(2pi)/360=(-11/6)pi# (radians)

4)#color(white)("XXX")165^@=165xx(2pi)/360=11/30pi# (radians)

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