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

Conversion of angles

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.
• Angle16Deg

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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.