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Consider a triangle ΔABC \Delta ABCΔABC. Drop a perpendicular BEBEBE from BBB to ACACAC. Now drop a perpendicular CFCFCF from CCC to ABABAB. Point of intersection of BEBEBE and CFCFCF is OOO.
Given that AFOEAFOEAFOE lie on a circle of radius 555 units and ∠CAB=60∘ \angle CAB = 60^{\circ}∠CAB=60∘. Find the radius of circle which passes through the points A,B A,BA,B and CCC.
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