The figure to the right (or below, depending on the device you are viewing this on) shows a “polar grid”. Within this grid, there are several “polar rectangles”. These polar rectangles are four-sided objects formed by a pair of circular arcs and a pair of line segments. Examples of these polar rectangles are shown below. The dashed segments that are included are not part of the polar rectangles, but are included to make it easier to see how the particular polar rectangle was formed in the grid.
How many polar rectangles are contained in the grid?