Convert rotation to radian

Learn how to convert 1 rotation to radian step by step.

Calculation Breakdown

Set up the equation

1.0 (r o t a t i o n) = x (r a d i a n)

Define the base values of the selected units in relation to the SI unit

(r a d i a n)

Left side: 1.0 (r o t a t i o n) = 2.0 \times π (r a d i a n) = 2.0 \times π (r a d)

Right side: 1.0 (r a d i a n) = 1.0 (r a d i a n) = 1.0 (r a d)

Insert known values into the conversion equation to determine

x

1.0 (r o t a t i o n) = x (r a d i a n)

Insert known values =>

1.0 \times 2.0 \times π \times (r a d i a n) = x \times 1.0 \times (r a d i a n)

Or

1.0 \cdot 2.0 \times π \cdot (r a d) = x \cdot 1.0 \cdot (r a d)

Cancel SI units

1.0 \times 2.0 \times π \cdot (r a d) = x \times 1.0 \times (r a d)

Conversion Equation

2.0 \times π = x \times 1.0

Simplify

π \times 2.0 = x

Switch sides

x = π \times 2.0

Solve

x

x \approx 6.2831853072 \approx 6.2832

Conversion Equation

1.0 (r o t a t i o n) \approx 6.2832 (r a d i a n)

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