Let A1,A2,⋯,An be the vertices of a regular polygon of n sides in a – InterviewSolution

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1.	Let A1,A2,⋯,An be the vertices of a regular polygon of n sides in a circle of radius unity and a=\|A1A2\|2+\|A1A3\|2+⋯\|A1An\|2, b=\|A1A2\|\|A1A3\|⋯\|A1An\|, then ab=
Answer» Let $A_{1}, A_{2}, \dots, A_{n}$ be the vertices of a regular polygon of $n$ sides in a circle of radius unity and $a = \| A_{1} A_{2} \|^{2} + \| A_{1} A_{3} \|^{2} + \dots \| A_{1} A_{n} \|^{2},$ $b = \| A_{1} A_{2} \| \| A_{1} A_{3} \| \dots \| A_{1} A_{n} \|,$ then $\frac{a}{b} =$

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