You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question
Let $$A_1, A_2, A_3 ..........A_n$$ are the vertices of a regular n sided polygon inscribed in a circle of radius R. $$(A_1A_2)^2 + (A_1A_3)^2 + ........ + (A_1A_n)^2 = 14R^2$$, find the number of sides in the polygon.
Open in App
Solution
Verified by Toppr
Was this answer helpful?
0
Similar Questions
Q1
State true or false:
A1,A2,A3...An are the vertices of a regular polygon of n sides. |OA1|=1. Then,
|A1A2||A1A3|....|A1An|=n.
View Solution
Q2
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=
View Solution
Q3
Let An be the area that is outside a n-sided regular polygon and inside it's circumscribing circle. Also Bn is the area inside the polygon and outside the circle inscribed in the polygon. Let R be the radius of the circle circumscribing n-sided polygon. If n=4 then Bn is equal to
View Solution
Q4
If A1A2A3...An be a regular polygon of n sides and 1A1A2=1A1A3+1A1A4,then
View Solution
Q5
PASSAGE-3: Let A1,A2,A3…An be a regular polygon of n sides whose center is origin O. Let the complex numbers representing vertices A1,A2,A3…An be z1,z2,z3…znrespectively. Let OA1=OA2=…=OAn=1. The distances A1Aj(j=2,3,…,n) must be