Radians to Degrees

Radians and degrees are two different ways to measure the same angle, so this formula just changes the unit without changing the angle itself. It works because one full turn is 360° and also 2π radians, so 1 radian must equal 180/π degrees. Multiplying by 180/π rescales the angle into degrees.

Use this when a trigonometry problem gives an angle in radians but you need the answer in degrees, such as for interpreting a calculator result or matching a diagram labeled in degrees. It is also useful in physics and engineering when converting angular measurements between formulas, graphs, and measurement systems.

• Using π/180 instead of 180/π when converting radians to degrees
• Forgetting to multiply the entire radian value by the conversion factor
• Rounding too early and losing accuracy in the final answer