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Instantly Convert Between Units of Measurement. Web Site Makes Unit Conversions Quick and Easy
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Circular and Angle Units Conversion
An angle is the figure formed by two rays sharing a common endpoint, called the vertex of the angle. Angles provide a means of expressing the difference in slope between two rays meeting at a vertex without the need to explicitly define the slopes of the two rays. Angles are studied in geometry and trigonometry.
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The radian is a unit of angle measure widely used in mathematics and science. One radian is the angle at the center of a circle that cuts off an arc of length equal to the radius. Since the circumference equals 2 pi times the radius, one radian equals 1/(2 pi) of the circle, or approximately 57.295 779°. Using radians to measure angles seems unnatural at first. However, when angles are stated in radians the constant pi tends to disappear from the equations, and this greatly simplifies calculation. For example, the length of an arc is simply its radius multiplied by its angular measure in radians, and the area of a sector of a circle is simply its angular measure in radians multiplied by half the square of the radius. The radian was defined and named by James Thomson in 1873. Thomson was a mathematics professor at Queen's College, Belfast, Northern Ireland, and the brother of the famous physicist William Thomson, Lord Kelvin.
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Convert from radian
1/10 circle
1/16 circle
1/2 circle
1/4 circle
1/6 circle
1/8 circle
degree (°)
circumference (circle)
grade (grad)
mil (NATO)
minute (')
point
radian (rad)
second (")
sextant
gon
sign
revolution (r)
turn
cycle
quadrant
right angle
mil (Soviet Union)
mil (Sweden)
rhumb
hour angle
Value
...calculating...
Format result
0 decimals
1 decimals
2 decimals
3 decimals
4 decimals
5 decimals
6 decimals
7 decimals
1 radian is equal to:
Metric
1/10 circle
1.5915
1/16 circle
2.5465
1/2 circle
0.3183
1/4 circle
0.6366
1/6 circle
0.9549
1/8 circle
1.2732
degree
57.2958
circumference
0.1592
grade
63.662
mil (NATO)
1018.5916
minute
3437.7468
point
5.093
radian
1
second
206264.8062
sextant
0.9549
gon
63.662
sign
1.9099
revolution
0.1592
turn
0.1592
cycle
0.1592
quadrant
0.6366
right angle
0.6366
mil (Soviet Union)
954.9297
mil (Sweden)
1002.6761
Nautical
rhumb
5.093
Astronomical
hour angle
3.8197
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