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/ | + | 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
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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
Degrees | Radians | Cycles ( turn ) | Gradians | Angle16Degs | 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
- 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.