Radians to Degrees Calculator
Enter radians to find degrees. ° = rad × 57.2957795131.
How the result changes
Only radians changes; all other inputs stay at your current values. The line illustrates the formula across the shown range. This is not a forecast of real-world outcomes.
About this calculation
Convert radians (rad) to degrees (°) while preserving the underlying angle quantity. The calculator updates when the input changes and shows the conversion rule and a worked example.
Formula
° = rad × 57.2957795131
Worked example
With Radians: 1 rad, degrees is 57.29578 °.
How to convert radians to degrees
Enter a value in radians. Multiply it by the factor in the displayed formula to express the same quantity in degrees. To reverse the relationship, divide by the same nonzero factor.
° = rad × 57.2957795131. As a reference point, 10 rad equals 572.957795 ° with this conversion. This is an example, not a recommended level or target.
What the unit relationship means
Radians and degrees represent the same amount of rotation or direction change. The numerical value depends on how a full turn is divided: degrees split it into 360 parts, radians relate arc length to radius, and gradians split it into 400 parts. A converted angle can be used in a formula only if that formula expects the target unit. The conversion changes notation, not the ray, bearing, or geometric shape.
Check the direction of the result
As a scale check, one rad corresponds to 57.29578 °. Doubling the input from 10 rad to 20 rad changes the calculated output from 572.957795 ° to 1,145.91559 °. Ordinary factor conversions are proportional: zero maps to zero and doubling the input doubles the result. If a copied value does not follow this pattern, check the source unit, decimal point, and formula direction.
When this conversion is useful
Convert radians and degrees when moving between geometry, trigonometry, and software that expects a particular angle unit.
What to check
Radians and degrees describe the same angle with different numbers. Check the input mode of a trigonometric function before using the converted value. In this direction the entered radians is reported as degrees; check both unit symbols when copying a figure from another source, because the reverse direction answers a different question.
Precision and reporting
Keep the angle symbol or unit in the final result. A small angular rounding difference can matter when the value is later used in surveying, navigation, or a trigonometric function. For an approximate source angle, round only after converting and using any necessary intermediate calculations. If the value represents a bearing, check its reference direction and clockwise convention too; changing degrees to another unit does not change how the direction itself is defined. For a separate reporting example, 7.3 rad produces 418.25919 °. If 7.3 rad was an approximate reading, the converted digits should not be treated as a more accurate measurement.
Common questions
What is the reverse of radians to degrees?
To return from ° to rad, divide by the nonzero factor shown in this calculator's formula.
Inputs
- Radians (rad)