Let P and Q be points on a unit circle with center O such that angle POQ is x degrees ( x ≤ 270 ).

Let the bisector of angle POQ intersect the circle at point A.

Let KLMN be a square with vertices K and L on line segments OP and OQ and vertices M and N on the arc PAQ.

Give the area of the square in terms of x.

If x = 45, write the area of the square as (a+b√c)/d where a, b, c, and d are integers.