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A circle is inscribed inside a regular p...

A circle is inscribed inside a regular pentagon and another circle is circumscribed about this pentagon.Similarly a circle is inscribed in a regular heptagon and another circumscribed about the heptagon. The area of the regions between the two circles in two cases are `A_1 and A_2`, respectively. If each polygon has a side length of 2 units then which one of the following is true?

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