Radians to Degrees Converter

Radians and degrees are two ways to describe the size of an angle. Degrees divide a complete turn into 360 equal parts, while radians measure an angle by comparing an arc length with the radius of its circle. A complete turn is 2 pi radians, a half turn is pi radians, and a quarter turn is pi divided by 2 radians. These correspond to 360, 180, and 90 degrees respectively. To convert radians to degrees, multiply the radian value by 180 and divide by pi. The conversion factor is approximately 57.2957795131 degrees per radian. For example, one radian is about 57.2958 degrees, and 0.5 radian is about 28.6479 degrees. The calculator uses the JavaScript numerical value of pi and retains ample precision before formatting the result for display. Radians are the natural angular unit in calculus, physics, engineering, and computer graphics. Formulas involving trigonometric derivatives, circular motion, angular velocity, and periodic waves generally assume angles are in radians. Degrees remain common in geometry, navigation, surveying, construction, and everyday descriptions because familiar angles such as 30, 45, and 90 degrees are easy to visualize. Before converting, check whether a value is already expressed as a multiple of pi. If the angle is pi radians, entering the decimal value 3.141592653589793 returns 180 degrees. For pi divided by 4, entering approximately 0.7853981633974483 returns 45 degrees. Using enough digits of pi reduces rounding error, especially for large angles or calculations that require high precision. Negative and positive angles are both valid. A positive angle conventionally rotates counterclockwise, while a negative angle rotates clockwise. Values greater than a full turn also convert normally; for instance, 3 pi radians represent one and a half turns or 540 degrees. The converter does not normalize the answer into a specific range because preserving the complete number of turns is often important. Enter the numeric radian measure and click the conversion button. The result can support homework checks, coordinate transformations, programming, engineering calculations, and any task that presents an angle in one system but requires the other. For sensitive work, retain additional digits rather than rounding intermediate values.