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Angle Converter

Convert angles instantly between degrees, radians, and gradians.

Convert Angle

Result

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90 Degrees equals
0 Radians

How to Calculate & Formula Details

Mathematical Model FormulaRadians = Degrees * (π / 180). Gradians = Degrees * (10/9).

An angle converter switches between degrees (the everyday unit), radians (used in mathematics and physics), and gradians (used in some surveying applications).

Conversion Formulas

  • Degrees to Radians: Radians = Degrees × (π / 180)
  • Degrees to Gradians: Gradians = Degrees × (10 / 9)
  • Full circle: 360° = 2π radians = 400 gradians

Frequently Asked Questions

How many radians are in a full circle?

A full circle equals 2π radians, approximately 6.2832 radians.

What is a gradian?

A gradian (or gon) divides a right angle into 100 units, so a full circle equals 400 gradians. It is mainly used in surveying and some European engineering contexts.

How do I convert 90 degrees to radians?

90 degrees × (π / 180) = π/2 radians, approximately 1.5708 radians.

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