Ever Eaten A Square Pizza?

Geometry Level 2

Usually, pizzas are circular and they come in boxes with a square base. The circular pizza covers some percentage of area of the square base of the box. Let's say someone makes a square pizza and puts it in a box with a circular base. Will the square pizza cover more percentage of area in the box with circular base than the circular pizza in the box with square base ?

Assume that both the pizzas fit perfectly inside their respective boxes.

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