A337493 -id:A337493 - cp's OEIS frontend

A072097 Decimal expansion of 180/Pi.

5, 7, 2, 9, 5, 7, 7, 9, 5, 1, 3, 0, 8, 2, 3, 2, 0, 8, 7, 6, 7, 9, 8, 1, 5, 4, 8, 1, 4, 1, 0, 5, 1, 7, 0, 3, 3, 2, 4, 0, 5, 4, 7, 2, 4, 6, 6, 5, 6, 4, 3, 2, 1, 5, 4, 9, 1, 6, 0, 2, 4, 3, 8, 6, 1, 2, 0, 2, 8, 4, 7, 1, 4, 8, 3, 2, 1, 5, 5, 2, 6, 3, 2, 4, 4, 0, 9, 6, 8, 9, 9, 5, 8, 5, 1, 1, 1, 0, 9, 4, 4, 1, 8, 6, 2

Offset: 2

Rick L. Shepherd, Jun 15 2002

1 radian = 180/Pi degrees (57 degrees 17' 44.806247096355156..."). For the reciprocal conversion factor, see A019685.

With offset 1, decimal expansion of 18/Pi, the radius of a sphere (or ball) whose volume equals the surface area of the circumscribed cube. - Omar E. Pol, Dec 25 2013

			57.2957795130823208767981548...

David Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, Revised edition 1987. See p. 127.

Index entries for transcendental numbers.

Related conversion factors: A019685 (1 degree = Pi/180 radians), A217572 (radians to arcseconds), A337493 (radians to arcminutes).

RealDigits[N[180/Pi,6! ]] (* Vladimir Joseph Stephan Orlovsky, Dec 02 2009 *)

PARI
```
180/Pi \\ Michel Marcus, Jan 14 2015
```

A217572 Decimal expansion of the conversion factor from radians to arcseconds.

Original entry on oeis.org

2, 0, 6, 2, 6, 4, 8, 0, 6, 2, 4, 7, 0, 9, 6, 3, 5, 5, 1, 5, 6, 4, 7, 3, 3, 5, 7, 3, 3, 0, 7, 7, 8, 6, 1, 3, 1, 9, 6, 6, 5, 9, 7, 0, 0, 8, 7, 9, 6, 3, 1, 5, 5, 7, 5, 7, 6, 9, 7, 6, 8, 7, 7, 9, 0, 0, 3, 3, 0, 2, 4, 9, 7, 3, 3

Offset: 6

R. J. Mathar, Oct 10 2012

From Peter Munn, Aug 21 2020 and Nov 11 2020: (Start)
Corresponds to a significant mark labeled with a (typographic) double prime symbol on slide rule calculating devices in the 20th century. The Pickworth reference explains its use for sines and tangents of small angles.
As tangents of small angles can be approximated by the angle itself, this value approximates the cotangent of an arcsecond, and so, to within 1 part in 10^11, the number of astronomical units in a parsec, prior to its redefinition in August 2015. (End)
Equals the number of astronomical units in a parsec, as defined in 2015. - Donghwi Park, Aug 08 2021

			206264.806247096355156473...

C. N. Pickworth, The Slide Rule, 24th Ed., Pitman, London, 1945, pp. 76-78, Trigonometrical Applications.

Robert G. Wilson v, Table of n, a(n) for n = 6..1005
Peter Munn, Aristo 89 Slide Rule.
Wikipedia, Parsec.
Wikipedia, Minute and second of arc.
Index entries for transcendental numbers

Related conversion factors: A155970 (arcseconds to radians), A072097 (radians to degrees), A337493 (radians to arcminutes).

Maple
```
evalf(180/Pi*3600) ;
```

RealDigits[(180/Pi) 3600, 10, 75][[1]] (* Bruno Berselli, Oct 10 2012 *)

fpprec:77; ev(bfloat((180/%pi)*3600)); /* Bruno Berselli, Oct 10 2012 */

Equals 3600 * A072097.

Equals 1/A155970.

cp's OEIS Frontend

A072097 Decimal expansion of 180/Pi.

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