Degrees and Radians Converter
Degrees and radians are two scales for the same angular quantity, connected by a full turn of 360 degrees or 2π radians.
How to use this calculator
- Enter the values requested by the Degrees Radians and keep all units consistent.
- Check the formula and worked example before relying on the displayed result.
- Change one input at a time when comparing alternative scenarios.
Formula and method
Radians = degrees × π ÷ 180; degrees = radians × 180 ÷ π
- The calculator applies the stated relationship to the inputs entered by the visitor. Intermediate calculations use full numeric precision before display rounding.
- Check which angle unit a formula, graphing tool or programming language expects.
Worked examples
Worked example: Degrees Radians
Convert 180 degrees
180 × π ÷ 180 = π radians, approximately 3.1416.
180 × π ÷ 180 = π radians, approximately 3.1416.
Understanding the result
Use the output as a calculation for the chosen assumptions, not as an explanation of why a real-world result occurred.
Check which angle unit a formula, graphing tool or programming language expects.
Important notes
Check which angle unit a formula, graphing tool or programming language expects.
Confirm the units, source measurements, rounding convention and context before using the result for a real project or decision.
Frequently asked questions
What does this Degrees Radians calculate?
Degrees and radians are two scales for the same angular quantity, connected by a full turn of 360 degrees or 2π radians.
Which assumptions matter most?
Check which angle unit a formula, graphing tool or programming language expects.
Can the result replace professional or domain-specific guidance?
No. The tool provides arithmetic under its stated assumptions; check applicable specifications, accounting conventions, standards or qualified guidance for consequential decisions.
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Related explanations
Learn the method behind the number or compare the terminology before using the calculator.
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This page provides a calculation tool plus explanatory information so you can understand what the result means and when the underlying method may not fit your situation.