The figure below shows an
equilateral triangle ABC inscribed in a circle O. Circle Q is tangent to
AB, AC, and arc BC at E, F, and D, respectively. S is the area of the
blue lunula and S_{1} is the area of the yellow circle. Prove that S / S_{1} = 5
/ 4.

Geometry Problems

Ten problems: 1361-1370

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Triangle

Circle

Equilateral Triangle

Lunula

Areas

Tangent Circles

Circle Tangent Line

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