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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
\( \mathrm{P} \) another circumscribed about the heptagon. The area of

W 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?
(a) \( A_{1}=\frac{5}{7} A_{2} \)
(b) \( A_{1}=\frac{25}{49} A_{2} \)
(c) \( A_{1}=\frac{49}{25} A_{2} \)
(d) \( A_{1}=A_{2} \)
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