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O is the centre of a semicircle on AB as diameter. We also [#permalink]
05 Jan 2006, 03:31
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O is the centre of a semicircle on AB as diameter. We also have a semicircle on OA and OB. (i.e the semicircles on OA and OB are inscribed within the semicircle on AB as diameter). Now A circle with centre C is drawn to touch this semicircle and also other semicircles drawn on OA & OB as diameters. Find the radius of circle with centre C if OA = 6.
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Last edited by giddi77 on 05 Jan 2006, 04:15, edited 1 time in total.
I used some sort of imagination . The area of the biggest semicircle is (36pi)/2 or 18pi. The area of both smaller semicirles together is 9pi.Then the area outside the smaller semicircles within the bigger one is 18pi-9pi or 9pi. So the radius of the circle inscribed is <3 only option A)