Question

How do you convert `73` degrees to radians?

Answer 1

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)