turns to radians Converter

Formula:

The formula to convert angle from turns to radians is:

Angle_(radians) = Angle_(turns) × 2 × π

Problem at hand:

We need to convert given angle of 1 turns to radians.

Given:

The given angle value is

Angle_(Turns) = 1

Substitution:

Substitute Angle_(turns) = 1 in the conversion formula.

Angle_(radians) = Angle_(turns) × 2 × π

Angle_(radians) = 1 × 2 × 3.14159265359

Simplification:

Solving the right-hand side value.

Angle_(Radians) = 6.2832

Conclusion:

Therefore, given angle of 1 turns is equal to 6.2832 radians.