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equivalences unit of angle

degree	minute	second	mill. exact	mill. conventional	degree cent.
1	60	3600	17.45329	17.77777	1.11111
0.01667	1	60	0.29089	0.29630	0.01852
0.00028	0.01667	1	0.00485	0.00494	0.00031
0.05730	3.43775	206.26482	1	1.01859	0.06366
0.05625	3.37500	202.50000	0.98175	1	0.06250
0.90000	54	3240	15.70796	16	1

1 degree = 0.017453293 radiant
1 minute = 0.000290888 radiant
1 second = 0.000004848 radiant

value of p

p represent the relationship between the circumference and the diameter of a same circle.

p = 3.1415926535897932384626434

1/p = 0.3183098861837906715377675

p² = 9.8696044011

p³ = 31.0062766803

radice² p = 1.77245385509

radice³ p = 1.4645918876

The constant relationship between the area of a circle and the square of its beam, was already to acquaintance of Babylonian and Egyptian, but the value of such constant was uncertain. The Greek Archimedes (287-212 a.C.) it was the first one to expose a procedure in order to calculate the value of p, establishing that the area of the registered regular polygons in the circle of unitary area he stretches to the area of the same circle as they increase the sides of the polygon. The Swiss Eulero (1707-83) demonstrated that:
1 - 1/3 + 1/5 - 1/7 +.... = p/ 4.
Later on English J. Wallis (1616-1703) enunciated the equality:
2/1 2/3 4/3 4/5 6/5 6/7... = p/ 2.

radiant (r)	degree cent. (gr)	degree sexagesimal (° = ° ' ")
1	63.6619772	57.2957795 = 571744.81
0.0157080	1	0.9 = 0.54
0.0174533	1.1111111	1

definitions report to 1 radiant

angle turn	= 2 p	line (artillery) (-)	= p/3200
dez	= 0.174533	thousandth	= 10^-3
gon (g)	= 0.015708	conventional thousandth (°°)	= p/3200
degree (°)	= 0.17453	angle minute (')	= 2.908882*10^-4
marine line	= p/16	angle second(")	= 4.848137*10^-6

definitions report to 1 steradian

gon square	= (p/200)²
grado square	= (p/180)²
sphere	= 4p

angular resolution

bits	counts	arcmins	mirads
7	128	168.75	49.087
8	256	84.375	24.544
9	512	42.188	12.272
10	1024	21.094	6.1359
11	2048	10.547	3.0680
12	4096	5.2734	1.5340
13	8192	2.6367	0.76699
14	16384	1.3184	0.38350
15	32768	0.65918	0.19175
16	65536	0.32959	0.095874
17	131072	0.16479	0.047937
18	262144	0.082397	0.023968
19	524288	0.041199	0.011984
20	1048576	0.020599	0.0059921