Radians To Degrees

Our free online radians to degrees converter lets you instantly convert any angle measured in radians to its equivalent in degrees. Whether you are a student studying trigonometry, a physicist working with angular measurements, an engineer designing mechanical systems, or a professional in navigation or computer graphics, this tool provides fast and accurate rad to deg conversions using the standard mathematical formula.

Radians and degrees are the two most common units for measuring angles. While degrees divide a full circle into 360 equal parts (1° = 1/360 of a circle), radians are based on the radius of a circle — one radian equals the angle subtended at the center of a circle when the arc length equals the radius. A full circle equals 2π radians, which is approximately 6.2832 radians or 360 degrees.

The conversion formula is straightforward: degrees = radians × 180/π. Since π radians equals 180 degrees, multiplying any radian value by 180/π (approximately 57.2958) gives you the equivalent angle in degrees. For example, π/2 radians (a right angle) equals 90°, π/3 radians equals 60°, and π/6 radians equals 30°. Common conversions include 1 rad ≈ 57.2958°, 2 rad ≈ 114.5916°, and 3 rad ≈ 171.8873°.

This converter is especially useful for trigonometry problems where angles are given in radians but you need degree values for practical applications. Radians are the standard unit in calculus, advanced mathematics, and physics because they simplify derivative and integral formulas involving trigonometric functions. Degrees, on the other hand, are more intuitive for geometry, construction, navigation, and everyday use.

Simply enter any positive or negative radian value, and the calculator will display the exact degree equivalent with up to four decimal places of precision. The tool works for all real-number inputs, including fractional radians (like π/4 or 0.7854), large values, and decimal approximations.