Difference between revisions of "Radian"

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{{Radian}}
 
{{Radian}}
  
Radian is the standard unit of angular measurement. A straight angle is [[Pi]] radians (1/4 cycles or turns).
+
Radian is the standard unit of angular measurement. A straight angle is [[Pi]] radians (1/2 cycles or turns).
 
This means that 1 radian = 180/pi degrees. A full circle (One cycle or turn) has 2*Pi radians (360 degrees).
 
This means that 1 radian = 180/pi degrees. A full circle (One cycle or turn) has 2*Pi radians (360 degrees).
  
All angle parameters and results of trigonometric functions are in radians.
+
All angle parameters and results of [[Trigonometric functions|trigonometric functions]] are in radians.
 +
 
 +
== Table of angles ==
 +
 
 +
 
 +
{| class="wikitable" style="text-align:center;"
 +
|+ Conversion of angles
 +
|-
 +
! Degrees
 +
! Radians
 +
! Cycles ( turn )
 +
! Gradians
 +
! [[Angle16Deg]]s
 +
! Byte Binary Radians ( bbrad )
 +
! Binary Radians ( brad )
 +
|-
 +
| 0°
 +
| 0
 +
| 0
 +
| 0
 +
| 0
 +
| 0
 +
| 0
 +
|-
 +
| 15°
 +
| Pi / 12
 +
| 1 / 24
 +
| 16.67
 +
| 240
 +
| 11
 +
| 2731
 +
|-
 +
| 30°
 +
| Pi / 6
 +
| 1 / 12
 +
| 33.33
 +
| 480
 +
| 21
 +
| 5461
 +
|-
 +
| 36°
 +
| Pi / 5
 +
| 1 / 10
 +
| 40.00
 +
| 576
 +
| 26
 +
| 6554
 +
|-
 +
| 45°
 +
| Pi / 4
 +
| 1 / 8
 +
| 50.00
 +
| 720
 +
| 32
 +
| 8192
 +
|-
 +
| 57.296°
 +
| 1
 +
| 1 / ( 2 * pi)
 +
| 63.66
 +
| 917
 +
| 41
 +
| 10430
 +
|-
 +
| 60°
 +
| Pi / 3
 +
| 1 / 6
 +
| 66.67
 +
| 960
 +
| 43
 +
| 10923
 +
|-
 +
| 72°
 +
| 2 * Pi / 5
 +
| 1 / 5
 +
| 80
 +
| 1152
 +
| 51
 +
| 13107
 +
|-
 +
| 90°
 +
| Pi / 2
 +
| 1 / 4
 +
| 100
 +
| 1440
 +
| 64
 +
| 16384
 +
|-
 +
| 120°
 +
| 2 * Pi / 3
 +
| 1 / 3
 +
| 133.33
 +
| 1920
 +
| 85
 +
| 21845
 +
|-
 +
| 135°
 +
| 3 * Pi / 4
 +
| 3 / 8
 +
| 150
 +
| 2160
 +
| 96
 +
| 24576
 +
|-
 +
| 144°
 +
| 4 * Pi / 5
 +
| 2 / 5
 +
| 160
 +
| 2304
 +
| 102
 +
| 26214
 +
|-
 +
| 180°
 +
| Pi
 +
| 1 / 2
 +
| 200
 +
| 2880
 +
| 128
 +
| 32768
 +
|-
 +
| 225°
 +
| Pi * Pi / 4
 +
| 5 / 8
 +
| 250
 +
| 3600
 +
| 160
 +
| 40960
 +
|-
 +
| 270°
 +
| 3 * Pi / 2
 +
| 3 / 4
 +
| 300
 +
| 4320
 +
| 192
 +
| 49152
 +
|-
 +
| 315°
 +
| 7 * Pi / 4
 +
| 7 / 8
 +
| 350
 +
| 5040
 +
| 224
 +
| 57344
 +
|-
 +
| 360°
 +
| 2 * Pi
 +
| 1
 +
| 400
 +
| 5760
 +
| 256
 +
| 65536
 +
|}
  
 
= See also =
 
= See also =
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* [[doc:rtl/math/radtodeg.html|RadToDeg]] Convert radians angle to degrees angle.
 
* [[doc:rtl/math/radtodeg.html|RadToDeg]] Convert radians angle to degrees angle.
 
* [[doc:rtl/math/radtograd.html|RadtoGrad]] Convert radians angle to grads angle.
 
* [[doc:rtl/math/radtograd.html|RadtoGrad]] Convert radians angle to grads angle.
 +
 +
 +
* [[Angle16Deg]]
 +
 +
[[Category:Mathematics]]

Latest revision as of 22:23, 17 October 2020

English (en) suomi (fi) français (fr) 中文(中国大陆)‎ (zh_CN)

Radian is the standard unit of angular measurement. A straight angle is Pi radians (1/2 cycles or turns). This means that 1 radian = 180/pi degrees. A full circle (One cycle or turn) has 2*Pi radians (360 degrees).

All angle parameters and results of trigonometric functions are in radians.

Table of angles

Conversion of angles
Degrees Radians Cycles ( turn ) Gradians Angle16Degs Byte Binary Radians ( bbrad ) Binary Radians ( brad )
0 0 0 0 0 0
15° Pi / 12 1 / 24 16.67 240 11 2731
30° Pi / 6 1 / 12 33.33 480 21 5461
36° Pi / 5 1 / 10 40.00 576 26 6554
45° Pi / 4 1 / 8 50.00 720 32 8192
57.296° 1 1 / ( 2 * pi) 63.66 917 41 10430
60° Pi / 3 1 / 6 66.67 960 43 10923
72° 2 * Pi / 5 1 / 5 80 1152 51 13107
90° Pi / 2 1 / 4 100 1440 64 16384
120° 2 * Pi / 3 1 / 3 133.33 1920 85 21845
135° 3 * Pi / 4 3 / 8 150 2160 96 24576
144° 4 * Pi / 5 2 / 5 160 2304 102 26214
180° Pi 1 / 2 200 2880 128 32768
225° Pi * Pi / 4 5 / 8 250 3600 160 40960
270° 3 * Pi / 2 3 / 4 300 4320 192 49152
315° 7 * Pi / 4 7 / 8 350 5040 224 57344
360° 2 * Pi 1 400 5760 256 65536

See also

Functions

  • CycleToRad Convert cycle angle to radians angle.
  • DegToRad Convert degree angle to radians angle.
  • GradToRad Convert grads angle to radians angle.
  • RadToCycle Convert radians angle to cycle angle.
  • RadToDeg Convert radians angle to degrees angle.
  • RadtoGrad Convert radians angle to grads angle.