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let A1, A2, A3 ......An, be the vertices of an n sided regular polygon inscribed in a circle of radius R. If (A1A2)^2+ (A1A3)^2 +.......+ (A1An)^2 = 14(R)^2. Find n.

let A1, A2, A3 ......An, be the vertices of an n sided regular polygon inscribed in a circle of radius R. If (A1A2)^2+ (A1A3)^2 +.......+ (A1An)^2 = 14(R)^2. Find n.

Grade:12

1 Answers

Vikas TU
14149 Points
7 years ago
U need to use the theorem property which states,
a/2 = R*sin(pi/n)
where a is te length of polygon and R is the circumradius.
 

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