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Today we’ll be speak about bankoff circle. Only here you can get help from free online math tutor Jimmy.

The circle through the cusp of the arbelos and the tangent points of the first Pappus circle, which is congruent to the two Archimedes’ circles. If  AB = r and AC = 1 , then the radius of the Bankoff circle is

R=½r(1-r),

REFERENCES:

• Bankoff, L. “Are the Twin Circles of Archimedes Really Twins?” Math. Mag. 47, 214-218, 1974.
• Gardner, M. “Mathematical Games: The Diverse Pleasures of Circles that Are Tangent to One Another.” Sci. Amer. 240, 18-28, Jan. 1979

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