180 degrees
π radians, 200 gon, and 0.5 turn.
Convert angles among degrees, radians, gradians, turns, arcminutes, and arcseconds, with exact π notation for recognized values.
An angle measures rotation or separation between directions. Different mathematical, navigation, and engineering contexts use different units.
Every conversion here passes through radians using Math.PI, without rounding π internally.
radians = degrees × π ÷ 180degrees = radians × 180 ÷ πgon = degrees × 10 ÷ 9turns = degrees ÷ 3601° = 60′ = 3,600″π radians, 200 gon, and 0.5 turn.
π/2 radians, 100 gon, 0.25 turn, 5,400 arcminutes, and 324,000 arcseconds.
π/4 radians, 50 gon, and 0.125 turn.
Approximately 57.2957795131°, 63.6619772368 gon, and 0.1591549431 turn.
2.5π radians, 500 gon, and 1.25 turns; normalized to 90°.
One full turn is 360 degrees.
One full turn is 2π radians. Radians naturally relate arc length to radius.
One full turn is 400 gon.
One turn is one complete revolution.
One degree contains 60 arcminutes or 3,600 arcseconds.
Degrees divide a turn into 360 parts. Radians measure rotation in terms of the circle's radius, so half a turn is π radians.
Angles differing by complete turns are coterminal. Normalization presents an equivalent angle within a selected principal range without changing the main converted value.
0° = 0 rad; 30° = π/6; 45° = π/4; 60° = π/3; 90° = π/2; 180° = π; 270° = 3π/2; 360° = 2π.
Multiply degrees by π and divide by 180.
Multiply radians by 180 and divide by π.
Exactly π radians.
Exactly 2π radians.
A gradian, or gon, divides a full turn into 400 parts.
Exactly 360 degrees.
Yes. They represent more than one revolution and are not automatically normalized.
Yes. A negative angle represents rotation in the opposite direction under the chosen convention.
Angles that differ by one or more complete turns and share the same terminal direction.
Use the Normalize angle control to show principal values without changing the conversion result.
Exactly 60.
Exactly 3,600.