Around the poles

Poles are disposed on the lattice plane.
A rubber band surrounds them.

For instance, consider poles placed at the following points:

• {1, 1}
• {1, 4}
• {2, 3}
• {3, 5}
• {3, 3}
• {4, 2}
• {5, 1}
• {5, 4}
• {6, 6}

If we place a rubber band around these points, we obtain a polygon of area 18.

Now consider the following 1000 points:

• P1 = {141, 592}
• P2 = {653, 589}
• P3 = {793, 238}
• P4 = {462, 643}
• ...
• P999 = {845, 68}
• P1000 = {772, 460}

The coordinates are made of the digits of the decimal part of PI by group of 3.

What is the area of the corresponding polygon?

You are given : 830303 for first 100 points.
[My timing: < 1 sec]