Enter degrees to see radians
Formula: radians = degrees × (π / 180)
Convert Degrees to Radians
This calculator converts angular measurements from degrees to radians with high precision. Radians are the standard unit of angular measurement in mathematics and physics, where one radian equals the angle subtended when the arc length equals the radius of the circle.
radians = degrees × (π ÷ 180)
The conversion factor π/180 ≈ 0.017453 derives from the relationship that a complete circle contains 360 degrees or 2π radians. This calculator handles both positive and negative angle values, supporting conversions for angles beyond 360 degrees including multiple rotations.
Conversion Example:
Converting 90 degrees: 90 × (π ÷ 180) = π/2 ≈ 1.5708 radians
The tool provides precise decimal results with customizable rounding options from 2 to 8 decimal places. For common angles, the calculator also displays exact fractional representations in terms of π, making it ideal for trigonometric calculations and mathematical analysis.
Commonly used in calculus, physics simulations, and engineering applications where radian measure simplifies mathematical expressions and eliminates conversion factors in formulas.