**Coordinates and Equations**

The coordinates for the vertices of a square centered at the origin and with side length 2 are (±1, ±1), while the interior of the same consists of all points (*x*_{i}, *y*_{i}) with −1 < *x*_{i} < 1 and −1 < *y*_{i} < 1.

The equation

describes a square of side 2, centered at the origin. This equation means "*x*2 or *y*2, whichever is larger, equals 1." The circumradius of this square (the radius of a circle drawn through the square's vertices) is half the square's diagonal, and equals . Then the circumcircle has the equation

Read more about this topic: Square

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