Radian: what changed
Revision 0 to 1. Removed lines have a minus sign; added lines have a plus sign.
Title: Radian
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| 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). | |
| 2 | + | ||
| 3 | + | All angle parameters and results of [[Trigonometric functions|trigonometric functions]] are in radians. | |
| 4 | + | ||
| 5 | + | ## Table of angles | |
| 6 | + | ||
| 7 | + | | Degrees | Radians | Cycles ( turn ) | Gradians | [[Angle16Deg|Angle16Degs]] | Byte Binary Radians ( bbrad ) | Binary Radians ( brad ) | | |
| 8 | + | |----|----|----|----|----|----|----| | |
| 9 | + | | 0° | 0 | 0 | 0 | 0 | 0 | 0 | | |
| 10 | + | | 15° | Pi / 12 | 1 / 24 | 16.67 | 240 | 11 | 2731 | | |
| 11 | + | | 30° | Pi / 6 | 1 / 12 | 33.33 | 480 | 21 | 5461 | | |
| 12 | + | | 36° | Pi / 5 | 1 / 10 | 40.00 | 576 | 26 | 6554 | | |
| 13 | + | | 45° | Pi / 4 | 1 / 8 | 50.00 | 720 | 32 | 8192 | | |
| 14 | + | | 57.296° | 1 | 1 / ( 2 * pi) | 63.66 | 917 | 41 | 10430 | | |
| 15 | + | | 60° | Pi / 3 | 1 / 6 | 66.67 | 960 | 43 | 10923 | | |
| 16 | + | | 72° | 2 * Pi / 5 | 1 / 5 | 80 | 1152 | 51 | 13107 | | |
| 17 | + | | 90° | Pi / 2 | 1 / 4 | 100 | 1440 | 64 | 16384 | | |
| 18 | + | | 120° | 2 * Pi / 3 | 1 / 3 | 133.33 | 1920 | 85 | 21845 | | |
| 19 | + | | 135° | 3 * Pi / 4 | 3 / 8 | 150 | 2160 | 96 | 24576 | | |
| 20 | + | | 144° | 4 * Pi / 5 | 2 / 5 | 160 | 2304 | 102 | 26214 | | |
| 21 | + | | 180° | Pi | 1 / 2 | 200 | 2880 | 128 | 32768 | | |
| 22 | + | | 225° | Pi * Pi / 4 | 5 / 8 | 250 | 3600 | 160 | 40960 | | |
| 23 | + | | 270° | 3 * Pi / 2 | 3 / 4 | 300 | 4320 | 192 | 49152 | | |
| 24 | + | | 315° | 7 * Pi / 4 | 7 / 8 | 350 | 5040 | 224 | 57344 | | |
| 25 | + | | 360° | 2 * Pi | 1 | 400 | 5760 | 256 | 65536 | | |
| 26 | + | ||
| 27 | + | Conversion of angles | |
| 28 | + | ||
| 29 | + | # See also | |
| 30 | + | ||
| 31 | + | [[Function|Functions]] | |
| 32 | + | ||
| 33 | + | - [[doc:rtl/math/cycletorad.html|CycleToRad]] Convert cycle angle to radians angle. | |
| 34 | + | - [[doc:rtl/math/degtorad.html|DegToRad]] Convert degree angle to radians angle. | |
| 35 | + | - [[doc:rtl/math/gradtorad.html|GradToRad]] Convert grads angle to radians angle. | |
| 36 | + | - [[doc:rtl/math/radtocycle.html|RadToCycle]] Convert radians angle to cycle angle. | |
| 37 | + | - [[doc:rtl/math/radtodeg.html|RadToDeg]] Convert radians angle to degrees angle. | |
| 38 | + | - [[doc:rtl/math/radtograd.html|RadtoGrad]] Convert radians angle to grads angle. | |
| 39 | + | ||
| 40 | + | - [[Angle16Deg]] | |
| 41 | + | ||
| 42 | + | --- | |
| 43 | + | *From the Free Pascal wiki, page "Radian", as it stood on 2020-10-17 after a change by Denis.totoliciu, out of the wiki's dump of 2024-05-26. Copyright stays with the author who wrote it, according to the old wiki's [[Licensing]] page. If you have concerns about this material, [message the admin](/wiki-contact).* | |
| 44 | + | Category: Mathematics |