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Free radians to degrees calculator & angle conversion calculator. Convert between radians and degrees, π expressions & common angles. Our calculator uses trigonometric principles to provide accurate angle conversions for mathematics, physics, and engineering applications.
Last updated: February 2, 2026
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Enter radians as numbers or π expressions (e.g., π, π/2, 2π/3)
Right angle: 90.00° (exactly 90°)
Conversion formula
degrees = radians × (180/π)
Convert radians to degrees with precision
Inverse formula
radians = degrees × (π/180)
Convert degrees to radians for mathematical calculations
π expressions
π/2, π/3, π/4, 2π/3
Handle exact π expressions for precise calculations
Common angles
0°, 30°, 45°, 60°, 90°, 180°
Pre-loaded with standard angle values
Conversion types
Rad ↔ Deg
Convert in both directions with a single tool
Trigonometry
Math & Physics
Perfect for mathematics and physics applications
For π/2 radians (90 degrees):
Radians
π/2
Degrees
90°
Type
Right
Our radians to degrees calculator uses fundamental trigonometric principles to convert between angle units. The calculation applies circle geometry and π relationships to provide accurate conversions for mathematics, physics, engineering, and trigonometry applications.
Degrees = Radians × (180/π)Radians = Degrees × (π/180)1 radian = 180/π degrees ≈ 57.2958°These formulas are based on the fundamental relationship that a full circle contains 360° or 2π radians. The conversion factor 180/π comes from this relationship and provides exact conversions between the two units.
Shows the relationship between radians and degrees in a circle
The radians-to-degrees conversion is based on circle geometry. A full circle has a circumference of 2πr, where r is the radius. When we measure angles in radians, we're measuring the arc length divided by the radius. Since a full circle is 360°, we get the relationship: 2π radians = 360°, so 1 radian = 180/π degrees.
Need help with other trigonometric calculations? Check out our arcsin calculator and law of cosines calculator.
Get Custom Calculator for Your PlatformResult: 2π/3 radians = 120°
The angle 2π/3 radians converts to exactly 120 degrees.
π/4 radians
Degrees = π/4 × (180/π) = 45°
3π/2 radians
Degrees = 3π/2 × (180/π) = 270°
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