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circle tangent to concentric circles - 1993 Cono Sur Shortlist G1

Source:

October 23, 2021

tangent circlesgeometrycircles

Problem Statement

Let

C_1

and

C_2

be two concentric circles and

C_3

an outer circle to

C_1

inner to

C_2

and tangent to both. If the radius of

C_2

is equal to

1

, how much must the radius of

C_1

be worth, so that the area of is twice that of

C_3