x:   0.5, 1, 4, 4.5, 3, 4.5, 2, 0         y:   0, 0, 1, 2.5, 3, 3.5, 4.5, 2.5

La figura può essere tracciata facilmente con disegnare(3) o disegnare(4): vedi /
The figure can be traced easily with drawing(3) or drawing(4): see.

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Il centro della penisola italiana

Enter the x of the vertices separated by commas
8,7.87,7.6,7,6.81,6.81,7.2,7.08,6.6,6.6,7,6.82,6.82,7.7,7.7,7.5,7.5,8,8.15,8.47,8.7,8.8,8.9,10.1,10.25,10.45,10.5,10.46,10.75,10.73,
11.2,11.05,11.1,11.2,12.2,13.1,13.8,14.1,14.2,14.4,14.5,14.35,14.75,14.9,15.35,15.55,15.65,16.15,16.2,16.23,16,15.83,15.9,15.6,
15.65,16,16.6,16.58,17,17.1,17.18,17.125,16.8,16.52,16.5,17,17.2,17.2,17.82,18,18.36,18.5,17.9,15.9,15.87,16.25,16.2,16.1,15.1,
15,14.23,13.55,12.4,12.28,12.5,12.5,12.2,12.3,13.1,13.5,13.8,13.8,13.9,13.85,13.6,13.55,13.6,13.5,13.6,13.4,13.65,12.45,12.1,11.5,
11,10.5,10.4,10.1,10.05,10.2,10.05,10,9.6,9.5,9.3,9.3,9,9.1,8.95,8.85,8.4,8.45,8.1,8

Enter the y of the vertices separated by commas
46,45.9,45.95,45.85,45.81,45.7,45.35,45.2,45.1,45,44.6,44.5,44.35,44.12,44.08,43.9,43.8,43.87,43.9,44.3,44.38,44.4,44.38,44,43.84,
43.3,43,42.92,42.88,42.8,42.5,42.4,42.35,42.38,41.8,41.25,41.175,40.75,40.8,40.7,40.65,40.55,40.65,40.3,40,40.1,40.1,39,38.91,38.8,
38.72,38.6,38.45,38.25,37.85,37.9,38.45,38.75,38.91,38.89,38.95,39.4,39.6,39.65,39.77,40.5,40.5,40.4,40.28,40,39.75,40.1,40.7,41.5,
41.6,41.75,41.9,41.96,41.94,42,42.45,43.63,44.2,44.78,44.8,45,45.25,45.43,45.6,45.75,45.65,45.55,45.6,45.7,45.8,45.83,46,46,46.2,
46.3,46.5,46.68,47.1,47.05,46.78,46.81,46.5,46.6,46.45,46.28,46.2,46.35,46.3,46.5,46.5,46.35,46,45.8,45.8,46,46.25,46.4,46.28,46
x center 12.189955285700773
y center 43.48931809855869

The approximate integral of a function of which only a finite set of input-output are known:
x: 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65, 68, 71, 74, 77, 80, 83, 86, 89
y: 17.7, 17.9, 16.7, 15.5, 14.2, 13.7, 14.3, 15.0, 15.6, 15.9, 15.5, 13.7, 12.6, 11.0, 9.6, 9.1, 9.4, 10.5, 11.2, 10.3, 9.3, 8.5, 8.0, 8.1, 8.2, 8.3, 8.5, 7.9, 7.3

I introduce as x and as y:
5, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65, 68, 71, 74, 77, 80, 83, 86, 89,89
0, 17.7, 17.9, 16.7, 15.5, 14.2, 13.7, 14.3, 15.0, 15.6, 15.9, 15.5, 13.7, 12.6, 11.0, 9.6, 9.1, 9.4, 10.5, 11.2, 10.3, 9.3, 8.5, 8.0, 8.1, 8.2, 8.3, 8.5, 7.9, 7.3, 0
I get  993  which approximates to 990.