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  7. Convert deg to rad

Angle

Convert deg to rad

Convert Degree (°) to Radian (rad) instantly.

Formula

value × 0.0174532925199

SampleConverted
1 °0.0174532925 rad
5 °0.0872664626 rad
10 °0.1745329252 rad
100 °1.745329252 rad
1,000 °17.4532925199 rad

About ° to rad

This conversion scales values from a smaller angle unit to a larger one. That usually decreases the numeric value when going from ° to rad.

Degree

Definition: Degree (°) is a standardized unit used to measure angle.

History/Origin: This unit is part of established international or regional measurement systems and is included in engineering and scientific references.

Current use: This unit appears in real-world angle calculations, technical documentation, and day-to-day conversions.

Radian

Definition: Radian (rad) is a standardized unit used to measure angle.

History/Origin: This unit is part of established international or regional measurement systems and is included in engineering and scientific references.

Current use: This unit appears in real-world angle calculations, technical documentation, and day-to-day conversions.

Degree to Radian Conversion Table

Degree [°]Radian [rad]
0.01 °0.0001745329 rad
0.1 °0.0017453293 rad
1 °0.0174532925 rad
2 °0.034906585 rad
5 °0.0872664626 rad
10 °0.1745329252 rad
20 °0.3490658504 rad
50 °0.872664626 rad
100 °1.745329252 rad

How to Convert Degree to Radian

1 ° = 0.0174532925 rad

1 rad = 57.2957795131 °

Formula: value × 0.0174532925199

Example: 15 ° = 0.2617993878 rad

  1. Start with the value in Degree (°).
  2. Multiply by 0.0174532925 (or divide by 57.2957795131) to get Radian (rad).
  3. Use an appropriate decimal precision based on your use case.

Common Use Cases for ° to rad

  • Convert ° to rad when sharing angle values across teams that use different unit standards.
  • Use this direction in spreadsheets and automation flows where inputs are recorded in ° but reporting is required in rad.
  • Apply the ° → rad conversion when validating supplier, lab, or field values against your internal benchmarks.

FAQ

Is ° to rad the same as rad to °?

No. They are inverse operations. For this page, 1 ° equals 0.0174532925 rad, while 1 rad equals 57.2957795131 °.

What is the fastest way to estimate ° to rad?

Use the factor 0.0174532925 for quick mental math, then refine with the exact calculator result when precision matters.

More deg conversions

deg to graddeg to arcmindeg to arcsec

All Angle units

Need to convert between all units in this category?

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