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Convert degree to radian Online

Angle Units Converter - Convert Degrees, Radians & Gradians Accurately with Degree (°) to Radian (rad) Conversion

Convert Degree to Radian using the exact conversion factor. This page provides the formula, reference values, and practical context for engineering, technical calculations, and professional measurement use.

Conversion Formula

Degree (°) = Radian (rad) × 0.017453

To convert Degree (°) to Radian (rad), multiply the value by 0.017453. The conversion factor is based on standardized unit definitions and is suitable for engineering analysis, system design, and professional measurement workflows.

Example

Convert 1 deg to rad.

  • Step 1: Write the formula: rad = deg × 0.017453
  • Step 2: Substitute: 1 × 0.017453
  • Step 3: Result: 0.017453 rad
So, 1 deg = 0.017453 rad.

About the Units

Degree (°)

One Degree (°) equals 0.017453 Radian (rad)

Units of angle are standardized measurements used to define rotational position, alignment, and directional orientation in engineering and navigation systems.

Radian (rad)

One Radian (rad) equals 0.017453 Degree (°)

Units of angle are standardized measurements used to define rotational position, alignment, and directional orientation in engineering and navigation systems.

Where This Conversion Is Used

  • Convert Degree to Radian to ensure consistent values across calculations, reports, and measurement systems.
  • Allows angular values to be compared across degree- and radian-based inputs, commonly used in mechanical design and motion analysis.
  • Useful for standardizing angular measurements across engineering tools and simulations.

Frequently Asked Questions

How many Radian (rad) are in 1 Degree (°)?

1 Degree (°) = 0.017453 Radian (rad).

How many Radian (rad) are in one Degree (°)?

One Degree (°) equals 0.017453 Radian (rad).

How many rad are in one deg?

One deg equals 0.017453 rad.

What is the formula for converting Degree (°) to Radian (rad)?

Multiply the Degree (°) value by 0.017453.

Can I reverse the conversion?

Yes. 1 Radian (rad) = 57.29578 Degrees (°).

Is this Degree (°) to Radian (rad) conversion accurate for engineering use?

Yes. The conversion uses a standardized conversion factor suitable for engineering calculations, technical analysis, and professional reference.

Can this conversion be used for scientific or technical calculations?

Yes. This conversion is appropriate for scientific analysis, engineering calculations, simulations, and technical documentation where unit consistency is required.

Conclusion

By applying the conversion factor shown above, you can convert Degree (°) to Radian (rad) for alignment, navigation, surveying, and mechanical design tasks.

Convert degree to Other Units

degree to radian

1 deg = 0.01745 rad

1 Degree (°) = 0.01745 Radian (rad)

One Degree (°) equals 0.01745 Radian (rad)

degree to arcminutes

1 deg = 60 arcmin

1 Degree (°) = 60 Arcminutes (′)

One Degree (°) equals 60 Arcminutes (′)

degree to arcseconds

1 deg = 3,600 arcsec

1 Degree (°) = 3,600 Arcseconds (″)

One Degree (°) equals 3,600 Arcseconds (″)

degree to milliradians

1 deg = 17.45329 mrad

1 Degree (°) = 17.45329 Milliradians (mrad)

One Degree (°) equals 17.45329 Milliradians (mrad)

degree to microradians

1 deg = 17,453.29252 urad

1 Degree (°) = 17,453.29252 Microradians (µrad)

One Degree (°) equals 17,453.29252 Microradians (µrad)

degree to gradians

1 deg = 1.11111 grad

1 Degree (°) = 1.11111 Gradians (grad)

One Degree (°) equals 1.11111 Gradians (grad)

degree to revolution

1 deg = 0.00278 rev

1 Degree (°) = 0.00278 Revolution (rev)

One Degree (°) equals 0.00278 Revolution (rev)

degree to quadrant

1 deg = 0.01111 quadrant

1 Degree (°) = 0.01111 Quadrant

One Degree (°) equals 0.01111 Quadrant

degree to sextant

1 deg = 0.01667 sextant

1 Degree (°) = 0.01667 Sextant

One Degree (°) equals 0.01667 Sextant