How do you convert #73# degrees to radians?

1 Answer
Zor Shekhtman
Jul 18, 2015

Angle of #73# degrees measures #1.2741...# in radians

Explanation:

By definition, an angle of #1# radian is an angle that corresponds to an arc equal to a radius in length. Since the circumference of a circle of a radius #R# equals to #2piR#, there are #2pi# radian in a full circle.

At the same time, there are #360^o# in a full circle. Therefore, the correspondence between radians and degrees is based on equality
#2pi# radians = #360# degrees.

From this we can easily determine the correspondence between #73# degrees and #X# radians using a proportion:

#360/(2pi) = 73/X#

Solution is
#X=(73*2pi)/360=1.2741...# (radians)

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