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Q.

The side of regular hexagon is 2 cm then the ratio of the radius of the circumscribed circle to the radius of the inscribed circle is?

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a

b

7

c

5

d

answer is A.

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Detailed Solution

We have the diameter of circle in ΔEMF and ∠EFM = 30°

then from geometry 0 is centre of hexagon

then radius of circle is OE = EM + OM = 1 + 1 = 2
then from geometry PO = FM
ΔEMF ,

⇒

then radius of circle FM = PO =

⇒

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