grad to ° Converter

Convert Gradian to Degree instantly.

Free online converter with accurate results and clear explanations.

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How This Tool Works

Gradians and degrees use different divisions of a full circle. A full circle is 400 grad or 360°, so 1 grad equals 0.9°.

To convert gradians to degrees, multiply the gradian value by 0.9. For example, 100 grad × 0.9 = 90°.

To convert degrees back to gradians, divide the degree value by 0.9.

Why This Matters in Measurement

Gradians are used in some surveying, mapping, and engineering contexts where a right angle is divided into 100 parts. Converting to degrees makes those angle measurements easier to compare with common geometry, navigation, and design references.

  • Surveying: Convert gon or gradian bearings into familiar degree measurements.
  • Engineering: Standardize angular inputs before using degree-based drawings or calculators.
  • Education: Check specialized angle notation against common right-angle and full-circle values.

Common Mistakes to Avoid

  • Use the correct full-circle ratio: 400 grad equals 360°, not 200 grad.
  • Remember the right angle check: 100 grad should equal 90°.
  • Do not confuse gradians with slope grade: This converter handles angular gradians, not percent grade.

Tips for Best Results

Use known checkpoints to sanity-check unusual inputs: 100 grad = 90°, 200 grad = 180°, and 400 grad = 360°.

If a result misses those values, confirm that the source value is an angular gradian measurement.

Frequently Asked Questions

Common questions about the grad to ° Converter

Enter your Gradian value in the input field, and the converter will automatically calculate the equivalent Degree value. You can also click the swap button to reverse the conversion direction.

Sources & References

International System of Units (SI): plane angle

Plane angle is measured in the radian (rad); 1° = π/180 rad. Conversions between SI and other units use exact, internationally agreed factors maintained by NIST.

International System of Units (SI)

Authoritative definitions for plane angle, from the BIPM SI Brochure (9th edition), the defining reference for the SI.