Maths Class 11 Chapter 3. Trignometric functions | Page 4

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