Degrees are commonly used in "humans" language and radians are commonly used in computer languages. Since there is 360 degrees and 2 π radians in a circle
- degrees can be converted to radians with the equation
θ = 2 π Φ / 360 (1)
θ = radians
Φ = degrees
- and radians can be converted to degrees with the equation
Φ = 360 θ / (2 π) (2)
90 degrees can be converted to radians with eq. (1) as
θ = 2 π (90) / 360
= 1.57 radians
1 radian can be converted to degrees with eq. (2) as
Φ = 360 (1) / (2 π)
= 57.3 degrees
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