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.

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

Author

Stefano Spezia, Dec 22 2024

Keywords

• nonn
• cons

Examples

			0.096329616521878247018436489175381344970316266979748...
		

References

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

Crossrefs

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

Programs

Mathematica

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

Formula

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