Degrees to Radians Calculator

How it is calculated

Enter an angle in degrees. A half turn is 180° and also π radians, so the conversion factor is π ÷ 180: rad = deg × π ÷ 180. The tool prints two results. The first is the value in radians as a decimal, with 6 decimal places. The second is the same angle written as a multiple of π, deg ÷ 180, shown as a decimal with 4 places and the π sign (for instance 0.7500π). It is a decimal multiple, not a reduced fraction such as 3π/4, and rounded values like 0.1667π stand for 1/6. Negative angles, angles above 360° and decimals are all accepted, and the radian value follows the same sign. An empty box gives no result.

Common mistakes

• Reading the π column as radians. 0.7500π means 0.75 × π, which is 2.3562 radians; the plain number 0.75 would be a much smaller angle.
• Using 360 instead of 180 in the factor. The ratio is π ÷ 180 (half turn); using π ÷ 360 gives half the correct radians.
• Expecting fractions like π/3 from the second line. It shows 0.3333π, so you must recognise 1/3 yourself.
• Typing a value already in radians, such as 1.5708. It will be treated as degrees and will give a tiny result of about 0.0274 radians.
• Putting the angle in a calculator set to degrees mode after converting. Programming math functions expect radians, so use the first output, not the degree value.