Class 11 Maths Trigonometric Functions Relationship between Degree & Radian

Relationship between Degree & Radian

2π radian =360o = One revolution

Or 1 radian = 180°/ π = 57° 16′ approx.

Also,  1° = (π / 180) radian = 0.01746 radian approx.

Degree to Radian Formula

  • 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  = 180o

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