Conversion of common angles

2 dimensions[]

Turns	Quadrants	Sextants	Dozenal degrees (Dozenal gradians, Dozenal gons) [used in this wiki for units of angles]	Degrees	Radians
0	0	0	0	0	0
${\frac {1}{400}}=0.003$	${\frac {1}{100}}=0.01$	${\frac {1}{80}}=0.016$	1	${\frac {5}{8}}=0.76$	${\frac {\pi }{200}}\approx 0.016{\mathcal {X}}2404847{\mathcal {E}}{\mathcal {X}}6{\mathcal {X}}332297{\mathcal {E}}31$
${\frac {1}{40}}=0.03$	${\frac {1}{10}}=0.1$	${\frac {1}{8}}=0.16$	10	7.6	${\frac {\pi }{20}}\approx 0.16{\mathcal {X}}2404847{\mathcal {E}}{\mathcal {X}}6{\mathcal {X}}332297{\mathcal {E}}310$
${\frac {1}{20}}=0.06$	${\frac {1}{6}}=0.2$	${\frac {1}{4}}=0.3$	20	13	${\frac {\pi }{10}}\approx 0.3184809493{\mathcal {E}}918664573{\mathcal {X}}621$
${\frac {1}{14}}=0.09$	${\frac {1}{4}}=0.3$	${\frac {3}{8}}=0.46$	30	1X.6	${\frac {\pi }{8}}\approx 0.486701211{\mathcal {E}}{\mathcal {E}}78699684{\mathcal {E}}9931$
${\frac {1}{10}}=0.1$	${\frac {1}{3}}=0.4$	${\frac {1}{2}}=0.6$	40	26	${\frac {\pi }{6}}\approx 0.6349416967{\mathcal {E}}635108{\mathcal {E}}279042$
${\frac {1}{8}}=0.16$	${\frac {1}{2}}=0.6$	${\frac {3}{4}}=0.9$	60	39	${\frac {\pi }{4}}\approx 0.951202423{\mathcal {E}}{\mathcal {E}}35177149{\mathcal {E}}7663$
${\frac {1}{2\pi }}\approx 0.1{\mathcal {X}}{\mathcal {E}}02{\mathcal {X}}14435798109{\mathcal {X}}271439$			${\frac {200}{\pi }}\approx 77.80{\mathcal {E}}45551{\mathcal {X}}7284334{\mathcal {X}}4553357$	${\frac {130}{\pi }}\approx 49.367134{\mathcal {X}}88162280765949680$	1
${\frac {1}{6}}=0.2$	${\frac {2}{3}}=0.8$	1	80	50	${\frac {\pi }{3}}\approx 1.0696831713{\mathcal {E}}06{\mathcal {X}}215{\mathcal {X}}536084$
${\frac {3}{14}}=0.23$	${\frac {3}{4}}=0.9$	${\frac {9}{8}}=1.16$	90	57.6	${\frac {3\pi }{8}}\approx 1.217903635{\mathcal {E}}{\mathcal {X}}{\mathcal {E}}1854812{\mathcal {E}}5395$
${\frac {5}{20}}=0.26$	${\frac {5}{6}}=0.{\mathcal {X}}$	${\frac {5}{4}}=1.3$	X0	63	${\frac {5\pi }{10}}\approx 1.385{\mathcal {E}}43{\mathcal {X}}{\mathcal {E}}{\mathcal {X}}7{\mathcal {X}}98687{\mathcal {X}}40746{\mathcal {X}}5$
${\frac {1}{4}}=0.3$	1	${\frac {3}{2}}=1.6$	100	76	${\frac {\pi }{2}}\approx 1.6{\mathcal {X}}2404847{\mathcal {E}}{\mathcal {X}}6{\mathcal {X}}332297{\mathcal {E}}3106$
${\frac {1}{3}}=0.4$	${\frac {3}{4}}=1.4$	2	140	X0	${\frac {2\pi }{3}}\approx 2.1171463227{\mathcal {X}}11842{\mathcal {E}}8{\mathcal {X}}70149$
${\frac {3}{8}}=0.46$	${\frac {3}{2}}=1.6$	${\frac {9}{4}}=2.3$	160	E3	${\frac {3\pi }{4}}\approx 2.43360706{\mathcal {E}}{\mathcal {E}}9{\mathcal {X}}34{\mathcal {X}}9425{\mathcal {X}}{\mathcal {X}}76{\mathcal {X}}$
${\frac {5}{10}}=0.5$	${\frac {5}{3}}=1.8$	${\frac {5}{2}}=2.6$	180	106	${\frac {5\pi }{6}}\approx 2.74{\mathcal {E}}{\mathcal {X}}879{\mathcal {E}}939751538812918{\mathcal {E}}$
${\frac {1}{2}}=0.6$	2	3	200	130	$\pi \approx 3.184809493{\mathcal {E}}918664573{\mathcal {X}}6211$
${\frac {3}{4}}=0.9$	3	${\frac {9}{2}}=4.6$	300	1X6	${\frac {3\pi }{2}}\approx 4.86701211{\mathcal {E}}{\mathcal {E}}78699684{\mathcal {E}}99318$
1	4	6	400	260	$2\pi \approx 6.349416967{\mathcal {E}}635108{\mathcal {E}}2790423$

3 dimensions[]

Spats	Dozenal stedegrees [used in this wiki for units of solid angles]	Square dozenal degrees	Square degrees	Steradians
0	0	0	0	0
${\frac {\pi }{140000}}\approx 0.000060470731{\mathcal {E}}81567921{\mathcal {X}}36$	${\frac {\pi }{200}}\approx 0.016{\mathcal {X}}2404847{\mathcal {E}}{\mathcal {X}}6{\mathcal {X}}332297{\mathcal {E}}31$	1	${\frac {21}{54}}=0.483$	${\frac {\pi ^{2}}{40000}}\approx 0.000257380425983167{\mathcal {E}}4734{\mathcal {X}}$
${\frac {1}{800}}=0.0016$	1	${\frac {200}{\pi }}\approx 77.80{\mathcal {E}}45551{\mathcal {X}}7284334{\mathcal {X}}4553357$	${\frac {169}{2\pi }}\approx 2{\mathcal {E}}.9875376850{\mathcal {E}}4480486745{\mathcal {E}}80$	${\frac {\pi }{200}}\approx 0.016{\mathcal {X}}2404847{\mathcal {E}}{\mathcal {X}}6{\mathcal {X}}332297{\mathcal {E}}31$
${\frac {1}{4\pi }}\approx 0.0{\mathcal {E}}5615082189{\mathcal {X}}{\mathcal {X}}064{\mathcal {E}}13681{\mathcal {X}}$	${\frac {200}{\pi }}\approx 77.80{\mathcal {E}}45551{\mathcal {X}}7284334{\mathcal {X}}4553357$	${\frac {40000}{\pi ^{2}}}\approx 4{\mathcal {X}}43.{\mathcal {E}}989649113193{\mathcal {X}}71518{\mathcal {X}}5619$	${\frac {16900}{\pi ^{2}}}\approx 1{\mathcal {X}}96.9814582975200{\mathcal {E}}54{\mathcal {X}}544{\mathcal {X}}041$	1
1	800	${\frac {140000}{\pi }}\approx 51147.6{\mathcal {E}}77530996{\mathcal {X}}232{\mathcal {X}}{\mathcal {E}}76239142$	${\frac {63000}{\pi }}\approx 1{\mathcal {E}}{\mathcal {X}}58.{\mathcal {E}}65057476{\mathcal {E}}143184{\mathcal {X}}{\mathcal {E}}{\mathcal {E}}94157$	$4\pi \approx 10.696831713{\mathcal {E}}06{\mathcal {X}}215{\mathcal {X}}5360847$

Conversion of common angles

2 dimensions[]

3 dimensions[]

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