Posted by Mathslover Please help on .
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,
10

Math 
a,
wrong

Math 
dr. cao,
should be 26

Math 
hans,
WRONG!!!

Math 
dr.cao 2nd,
wrong dr.cao.....

Math 
dr.cao 3rd,
wrong de.cao

Math 
dr.cao 3rd,
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,
calm down dr.cao 3rd
calm down 
Math 
Mathslover Please help,
Dude don`t fight please tell the answer

Math 
Athul,
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,
SORRY GUYS I MEANT TO SAY ITS 60 SORRY DON'T USE 50 ITS 60!!