Relationship between Degree & Radian
2π radian = 360 o = One revolution Or 1 radian = 180 °/ π = 57 ° 16 ′ approx. Also, 1 ° =( π / 180) radian = 0.01746 radian approx.
Degree to Radian Formula
o o
Radian measure =( π / 180) × Degree measure Degree measure =( 180 / π) x Radian measure
Numerical: Convert 60 ° to radian form & Convert π into degree.
Solution: Lets first convert 60 ° to radian
Radian measure =( π / 180) × Degree measure =( π / 180) * 60 ° = π / 3 radian
Now let’ s convert π into degree. Degree measure =( 180 / π) x Radian measure = 180 / π * π = 180 o