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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 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?

A

`A_(1)=5/7 A_(2)`

B

`A_(1)=(25)/(49)A_(2)`

C

`A_(1)=(49)/(25)A_(2)`

D

`A_(1)=A_(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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