Convert Units of Angle

Conversions    Home Page 

How to convert angle units using the AddUp calculator

How to convert units in general

Conversions can be done either with the "->" conversion operator or with the equivalent "convert" function. The function has three parameters: a quantity, a unit to convert from and a unit to convert to. Likewise the conversion operator uses three values: the quantity and unit to convert from are placed on the left side of the operator while the unit to convert to goes to the right side.

Angle Units

The basic unit of angle is the radian. All units of angle are expressed in terms of this base unit and so measurements can be converted from any one of the following units to any other.

arcMinute
1/60 of a degree: pi/10800 rad
arcSecond
1/60 of an arcSecond: pi/648000 rad
deg [also: degree]
360 degrees in a circle: pi/180 rad
grad [also: gradient]
400 gradients in a circle: pi/200 rad
rad [also: radian]
Basic unit of angle (2 pi radians in a circle): 1 rad

Sample Conversions of Angle Units

Convert radians to

2 pi rad -> deg = 360

convert(2 pi; radians; degrees) = 360

Convert radians to gradients.

2 pi radians -> gradients = 400

convert(2 pi; rads; grads) = 400

Convert degrees to radians.

45 deg -> rad = 0.7853982

convert(45; degrees; radians) = 0.7853982

Convert degrees to gradients.

45 deg -> grad = 50

convert(45; degrees; gradients) = 50

Convert gradients to radians.

200 grad -> rad = 3.1415927

convert(200; gradients; radians) = 3.1415927

Convert gradients to degrees.

200 grads -> degree = 180/SAMP>

convert(200; gradients; deg) = 180