Constructions!

Geometry Level 2

Consider the following construction in a circle. Choose points A, B, C on the given circle such that ∠ABC is 60◦

. Draw another circle that is tangential to the chords AB, BC

and to the original circle. Do the above construction in the unit circle to obtain a circle S1. Repeat the process in S1 to obtain another circle S2. What is the radius of S2?

0 2/9 3/7 4/9

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1 solution

V A
May 1, 2018

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