Degrees to Radians Converter
Convert Degrees to Radians
Formula
Radians = Degrees × π/180 | 180° = π rad | 360° = 2π rad | 1° ≈ 0.01745 rad
Frequently Asked Questions
How do I convert degrees to radians?
Multiply degrees by π/180. For example, 90° = 90 × π/180 = π/2 ≈ 1.5708 radians. Common conversions: 30°=π/6, 45°=π/4, 60°=π/3, 180°=π, 360°=2π.
Why do we use radians?
Radians are the natural unit for measuring angles in mathematics and physics. They simplify many formulas: arc length = rθ, sector area = ½r²θ, and derivatives of trig functions are cleaner in radians.
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