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If Ar (r = 1, 2, 3, ….., n) are the vertices of a regular polygon inscribed in a circle of radius R, then

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If Ar (r = 1, 2, 3, ….., n) are the vertices of a regular polygon inscribed in a circle of radius R, then 

(A1A2)2  + (A1A3)2  + (A1A4)2  + …+ (A1An)2  = 

(A) nR2/2

(B) 2nR2

(C) 4R2 cot π / 2n 

(D) (2n - 1) R2

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Best answer

Correct option (B)

Explanation:

  A1…….An vertices of regular polygon in a circle of radius R

 (A1 A2)2 + (A1 A3)2 .........(A1 An)2

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