Home/Angle/Degree to Radian

Degree to Radian

Professional ° to rad conversion.

Degree
Base unit for angle in this tool.
Radian
SI unit of angle; 1 rad ≈ 57.2957795131°.
Quick LinksLogic & FormulaFAQ
0.01745329
Unit
  • Second (arc)
    ″
  • Minute (arc)
    ′
  • Mil
    mil
  • Gon
    gon
  • Grad
    g
  • Degree
    °
  • Sign
    sign
  • Radian
    rad
  • Sextant
    sextant
  • Quadrant
    quadrant
  • Right angle
    ∟
  • Circle
    circle
  • Revolution
    r
  • Turn
    turn
Unit
  • Second (arc)
    ″
  • Minute (arc)
    ′
  • Mil
    mil
  • Gon
    gon
  • Grad
    g
  • Degree
    °
  • Sign
    sign
  • Radian
    rad
  • Sextant
    sextant
  • Quadrant
    quadrant
  • Right angle
    ∟
  • Circle
    circle
  • Revolution
    r
  • Turn
    turn
Precision: 8 decimal places

Logic & Formula

To convert Degree to Radian, we use the specific conversion ratio for this category. 1 ° is equal to 0.01745329 rad.

Value in rad = (Value in ° * 1) / 57.29577951

Unit Definitions

Degree

Base unit for angle in this tool.

Radian

SI unit of angle; 1 rad ≈ 57.2957795131°.

Verified 2026 Standards
Industrial Precision

How to convert Degree to Radian?

Enter the value in Degree, choose the target unit Radian, and the result updates instantly. This page also includes the conversion formula and a quick reference table for verification.

Formula: Value in rad = Value in ° × 0.01745329

Common Conversions Table

Value (°)Result (rad)
10.01745329
100.17453293
250.43633231
500.87266463
1001.74532925
100017.45329252

FAQ

What is the conversion formula from ° to rad?
Value in rad = Value in ° × 0.01745329
What is the smallest unit in Angle?
The smallest unit (as defined on this site) is: Second (arc) (″). For higher precision, convert using a smaller unit first.
Are the results accurate?
Yes. Conversions run locally in your browser using verified ratios and display up to 8 decimals. Some categories like temperature and fuel use specialized formulas.

About this conversion

This page converts Degree to Radian using verified ratios and includes tables, examples, and FAQs for quick verification.

Degree
Base unit for angle in this tool.
Radian
SI unit of angle; 1 rad ≈ 57.2957795131°.

Formula and precision

Value in rad = Value in ° × 0.01745329
1 ° is equal to 0.01745329 rad.
Yes. Conversions run locally in your browser using verified ratios and display up to 8 decimals. Some categories like temperature and fuel use specialized formulas.
  • Use smaller units for higher precision, then convert back if needed.
  • Temperature and fuel categories can’t be reduced to one constant multiplier.
  • Symbols vary by region (US/UK gallons, metric vs. imperial abbreviations).
  • For engineering work, validate with a second reference and keep unit symbols.

Quick examples

Example: 1 ° = 0.01745329 rad.

Value (°)Result (rad)
10.01745329
12.50.21816616
500.87266463
1001.74532925

Common mistakes and definitions

  • Rounding too early (convert first, then round at the end).
  • Mixing similar-looking symbols (for example, “m” vs “mm”, or “b” vs “B”).
  • Copying values without the unit symbol, which makes validation harder.

Common Conversions Table

Degree (°)Radian (rad)
10.01745329
20.03490659
30.05235988
50.08726646
100.17453293
250.43633231
500.87266463
1001.74532925
2504.36332313
5008.72664626
100017.45329252

Category facts

Smallest unit (on this site)
Second (arc) (″)
Largest unit (on this site)
Revolution (r)

Popular conversions

Back to Angle category Browse more related converters below.

Degree → RadianDegree → Second (arc)Degree → GradDegree → Right angleDegree → TurnTurn → DegreeRight angle → DegreeRadian → Degree

Related conversions

Convert Degree to:
GonMilSignMinute (arc)SextantQuadrantRevolutionCircle
Convert to Radian from:
Right angleTurnGradSecond (arc)

FAQ

How to convert Degree to Radian?
Enter the value in Degree, choose the target unit Radian, and the result updates instantly. This page also includes the conversion formula and a quick reference table for verification.
What is the conversion formula from ° to rad?
Value in rad = Value in ° × 0.01745329
What is the smallest unit in Angle?
The smallest unit (as defined on this site) is: Second (arc) (″). For higher precision, convert using a smaller unit first.
Why can results differ between websites?
Different standards, rounding rules, and unit definitions can change results. This page shows the formula used for transparency.
Are the results accurate?
Yes. Conversions run locally in your browser using verified ratios and display up to 8 decimals. Some categories like temperature and fuel use specialized formulas.

More Related Angle Tools

Back to Angle category
Convert to RadianConvert to GradConvert to Minute (arc)Convert to Second (arc)Convert to GonConvert to SignConvert to MilConvert to RevolutionConvert to CircleConvert to TurnConvert to QuadrantConvert to Right angle

Did you know?

Convert angle units including degrees, radians, gradians, and turns. Precision is the cornerstone of our platform. We utilize 15-digit floating-point arithmetic to ensure results meet 2026 industrial and academic verification standards. Looking for other types of calculations? Explore our Main Dashboard for 100,000+ precision permutations.