A Novel Support Beam Structure

Problem Creator: T.N. Eddisid

The engineers in overseeing the construction of Kepler III are playing around with a new potential design for beam structure supports. They have a 100 meter by 100 meter space. Dividing that into an x-, y-coordinate grid, they want to place beams such that x = 0, connects to y = 100, x = 1 connects to y = 99, x = 2 connects to y = 98, ..., x = 99 connects to y = 1, and x = 100 connects to y = 0. You can see a smallscale (10 x 10 grid) mock-up of this in the images below.

The engineers are fascinated by the curved shape this grid lattice creates. Your task is to discover what that shape is and how it relates to a circle.