Skip to main content

🔁 Degrees → Radians

Translate sexagesimal angles into SI radians.

Essential for trigonometry, calculus, and any engineering field that uses radian measure.

180 degrees equals

3.141593 radians

Turns: 0.5

Gradians: 200

How to Use This Calculator

1

Enter degrees

Provide the angle in degrees from your calculation or measurement.

2

Read radians

The converter multiplies by π/180 to produce radians.

3

Compare other units

Turns and gradians help when bridging to other angular measurement systems.

Formula

Radians = Degrees × π / 180

Turns = Degrees ÷ 360

Gradians = Degrees × 10/9

Use the formula breakdown to confirm the calculation logic or perform the conversion manually if needed.

Full Description

Radians provide a natural way to measure angles in mathematics because they relate arc length directly to radius. Many engineering and physics formulas expect radians, even if your input data arrives in degrees.

This converter applies the exact factor π/180, preserving precision for downstream calculations. Additional outputs for turns and gradians help integrate with CAD tools and surveying systems that prefer those units.

For inverse conversions, use the angle converter or multiply radians by 180/π to return to degrees.

Frequently Asked Questions

How precise is π?

JavaScript’s math constants provide double-precision accuracy, more than enough for engineering use. For symbolic π, display the fraction manually.

Can I convert negative angles?

Yes. Negative degrees translate directly to negative radians, preserving orientation.

What about modular angles?

Results are direct. If you need values wrapped to 0–2π or 0–360°, apply modulo operations separately.

How do I use this in code?

Multiply degrees by Math.PI / 180. This calculator lets you confirm the results interactively.

Frequently Asked Questions

What does the Degrees to Radians Converter do?

Convert degrees to radians instantly with this free online converter. Useful for conversion tasks. Accurate results in your browser. No signup required. Enter your values above to see results instantly in your browser. This page is part of Try To Calculator's free online calculator collection.

Is the Degrees to Radians Converter free?

Yes. Try To Calculator tools are free to use and do not require an account for this page.

Are my inputs sent to your servers?

No. Calculations run locally in your browser; we do not collect the numbers you type or the results shown.

Is the Degrees to Radians Converter a substitute for professional advice?

This tool is for education and quick estimates. For medical, legal, tax, or financial decisions, confirm results with a qualified professional.

Where can I find related calculators?

Use the category navigation or the related tools section below to browse more Conversion calculators on Try To Calculator.