A275477 -id:A275477 - cp's OEIS frontend

A331480 Decimal expansion of arcsin(2/Pi).

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

Offset: 0

Jianing Song, Jan 18 2020

			0.69010709137453995200...

Cf. A060294 (decimal expansion of 2/Pi), A275477 (arccos(2/Pi)), A232247 (arctan(2/Pi)), A232182 (arccot(2/Pi)).

Mathematica
```
First@RealDigits@N[ArcSin[2/Pi], 120]
```
PARI
```
default(realprecision, 100); asin(2/Pi)
```

Equals Pi/2 - A275477.

A379394 Decimal expansion of the area of the convex hull of a circle of circumference 1 and a line segment of length 1/2 with midpoint at the circle center.

Original entry on oeis.org

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

Offset: 0

Stefano Spezia, Dec 22 2024

			0.096329616521878247018436489175381344970316266979748...

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 8.4.2, p. 495.

Cf. A000796, A002388, A060294, A212002, A275477.

RealDigits[(Sqrt[Pi^2-4]+Pi-2ArcCos[2/Pi])/(4Pi^2),10,100][[1]]

Equals (sqrt(Pi^2-4) + Pi - 2*arccos(2/Pi))/(4*Pi^2).

cp's OEIS Frontend

A331480 Decimal expansion of arcsin(2/Pi).

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