Degree–Radian Converter | Fibo Tools

Degree–Radian Converter

Convert angles both directions. Radian answers appear as exact \u03C0-fractions whenever the angle is clean (180\u00B0 \u2192 \u03C0), plus the decimal.

③ WHY IT WORKS

Why the conversion works

A full turn is 360\u00B0 and also 2\u03C0 radians, so 180\u00B0 = \u03C0 radians \u2014 the two units describe the same rotation. Multiplying by \u03C0/180 (or 180/\u03C0) only renames the angle without changing it, which is why the \u03C0 cancels out when you convert back.