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Q.

Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit radius. Then the product of the lengths of the line segmentsA0Al,A0A2, and A0A4 is

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a

¾

b

33

c

3

d

332

answer is C.

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Detailed Solution

Let O be the center of the circle. ∠A0OA1=360∘6=60∘Thus, A0OA1  is an equilateral triangle. We get also  A0A1=1A0A2=A0A4=2A0D=2OA0sin⁡60∘=2(1)32=3A0A1A0A2A0A4=(1)(3)(3)=3
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Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit radius. Then the product of the lengths of the line segmentsA0Al,A0A2, and A0A4 is