The following formulas make it simple to convert any angle from radians to degrees and vice versa. Angles expressed in degrees, minutes, and seconds can also be converted using these formulas.

1.
$1\, \text{rad} = \dfrac{180\degree}{\pi} \approx 57\degree\, 17^\prime\,45^{\prime\prime}-1$
Degree
Radian
2.
$1\degree = \dfrac{\pi}{180\degree}\,\text{rad}\approx0.01745\,\text{rad}$
Degree
Radian
3.
$1^\prime=\dfrac{\pi}{180 \cdot 3600}\,\text{rad}\approx 0.000291\text{rad}$
Radian
Degree
4.
$1^{\prime\prime}=\dfrac{\pi}{180 \cdot 3600}\,\text{rad}\approx0.000005\,\text{red}$
Degree
Radian

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