Radians to Degrees Calculator

    Convert radians to degrees from decimal radians or pi expressions, with decimal-degree and DMS-style outputs when supported by the tool.

    Radians to degrees

    Result

    Degrees (°)
    45
    Decimal radians
    0.785398
    Gradians (gon)
    50
    Turns
    0.125
    DMS (°′″)
    45° 0′ 0″
    Displayed direction: 45°, full turns: 0.

    Angle on the unit circle

    angle
    45° = π/4 rad

    Standard angle table

    DegreesRadians (exact)Radians (≈)Gradians
    0°000
    15°π/120.261816.67
    30°π/60.523633.33
    45°π/40.785450
    60°π/31.047266.67
    75°5π/121.30983.33
    90°π/21.5708100
    120°2π/32.0944133.33
    135°3π/42.3562150
    150°5π/62.618166.67
    180°π3.1416200
    210°7π/63.6652233.33
    225°5π/43.927250
    240°4π/34.1888266.67
    270°3π/24.7124300
    300°5π/35.236333.33
    315°7π/45.4978350
    330°11π/65.7596366.67
    360°6.2832400

    Convert radians to degrees

    Radians-to-degrees search intent is a fast conversion from radian measure, including pi expressions, into degree measure for calculator, geometry, or engineering work.

    Multiply radians by 180 over pi to convert to degrees.

    Frequently Asked Questions

    Sources and References

    Calculations are based on the listed reference sources. Links open in a new tab.

    Updated:

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