# Jigsaw Area

Geometry Level 4

The shape of this jigsaw puzzle piece may be viewed as a square of side $$s$$ to which four circles of radius $$r$$ have been added. The square and the circles overlap. Assume that the part of the circle circumference that sticks out forms an $$240^\circ$$ arc.

The total area of the puzzle piece may be written as $A = s^2 + c\cdot r^2.$ Calculate the value of $$c$$.

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