Posted by Mathslover Please help on Sunday, May 5, 2013 at 11:37pm.
Let AB be the diameter of circle Γ1. In the interior of Γ1, there are circles Γ2 and Γ3 that are tangent to Γ1 at A and B, respectively. Γ2 and Γ3 are also externally tangent at C. This exterior tangent cuts Γ1 at P and Q, with PQ=20. The area that is within Γ1 but not in Γ2 or Γ3 is equal to Mπ. Determine M.

Math  Anonymous, Monday, May 6, 2013 at 5:22pm
10

Math  a, Monday, May 6, 2013 at 10:58pm
wrong

Math  dr. cao, Monday, May 6, 2013 at 11:34pm
should be 26

Math  hans, Tuesday, May 7, 2013 at 12:46am
WRONG!!!

Math  dr.cao 2nd, Tuesday, May 7, 2013 at 1:32am
wrong dr.cao.....

Math  dr.cao 3rd, Tuesday, May 7, 2013 at 1:33am
wrong de.cao

Math  dr.cao 3rd, Tuesday, May 7, 2013 at 1:34am
wrong dr.cao.....
wrong dr.cao.....
wrong dr.cao.....
wrong dr.cao.....
wrong dr.cao.....
wrong dr.cao.....
wrong dr.cao.....
wrong dr.cao.....
wrong dr.cao.....
wrong dr.cao.....
wrong dr.cao.....
wrong dr.cao.....

Math  dr.cao 2nd, Tuesday, May 7, 2013 at 1:39am
calm down dr.cao 3rd
calm down

Math  Mathslover Please help, Tuesday, May 7, 2013 at 2:02am
Dude don`t fight please tell the answer

Math  Athul, Tuesday, May 7, 2013 at 12:49pm
50
Let the radius of larger circle be a, smaller ones be 'b' and 'c'.
Ans = pie(a^2(b^2+c^2)) here we are only concerned with (a^2(b^2+c^2))=
(a^2  ((b + c)^2  2bc) = 2bc as a=b+c
Using intersecting chord theorem,
2bc= AC*BC/4= PC*CQ/4= 10*10/4 as diameter bisects chord
= 50 Ans

Math  Athul, Tuesday, May 7, 2013 at 8:08pm
SORRY GUYS I MEANT TO SAY ITS 60 SORRY DON'T USE 50 ITS 60!!
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