Q.

Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit radius then the product of the lengths of the line segments A0A1,A0A2 and A0A4is

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answer is 3.

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Detailed Solution

The vertices of the hexagon be as shown inthe figure A0A12=14+34=1A0A22=94+34=3A0A42=A0A22=3So A0A1A0A2A0A4=1×3×3=3 Fig. 16.16

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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 segments A0A1,A0A2 and A0A4is