Question: Consider a unit circle centered at the origin, along with four copies of the same circle, each translated one unit to the north, south, east,

Consider a unit circle centered at the origin, along with four copies of the same circle, each translated one unit to the north, south, east, and west. In each quadrant, excluding the intersection at the origin, the points of intersection between the arcs of the circles that lie within that quadrant form a polygon. What is the sum of areas of these polygons in each quadrant

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