Maths Olympiad Prep

Library / CEMC Cayley /280 of 470

CEMC Cayley, 2004

Geometry Difficulty 2.0 Junior Find the answer Canada

In the diagram, OO is the centre of each circle. The circumferences of the circles are 24π24\pi and 14π14\pi. BB is a point on the outer circle and OBOB intersects the inner circle at AA. The length of ABAB is

(A) 10\sqrt{10} (B) 55 (C) 77 (D) 10π10\pi (E) 33

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