Chords

Geometry Level 3

The points A 1 , A 2 , A 3 , A 4 A_1,A_2,A_3,A_4 and A 5 A_5 divide a unit circle (circle of radius 1) into five equal parts. Find the value of the square of the product of the chords A 1 A 2 , A 1 A 3 A_1A_2,A_1A_3 . That is, find the value of ( A 1 A 2 × A 1 A 3 ) 2 (A_1A_2 \times A_1A_3)^2 .


The answer is 5.

Ayush G Rai by Ayush G Rai , 20, India

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