The sum of the areas of two circles which touch each other externally is 153?. If the sum of their radii is 15, find the
ratio of the larger to the smaller radius.

• radii let r1,r2 r1+r2=15
  r1^2+r2^2=153
  r1^2+(15-r162)=153
  r1=12,r2=3
  12:3
  4:1
  small radii is =4
• 12 years agoHelpfull: Yes(12) No(44)
• The question is too having one π missing add of both cirles area is 153π
  
  Hope by this u ll b able to crack it
  
  Given r1+ r2 = 15
  
  And πr1² + πr2² = 153π
  r1² + r2² = 153
  
  Put value of r2 as 15 - r1
  
  Hence solve eqns
  
  r1 and r2 be 12 and 3
• 8 years agoHelpfull: Yes(1) No(1)
• I think there is a little correction in the question ,What I have found out the area of Two circles are 153π, if that is the case then here goes my solution to this question:-
  Let the radius of the
  2 circles be r1 and r2 , then
  r1 + r2 = 15 (given)
  and
  πr21+πr22=153π (given)
  r21+r22=153
  ∴r21+(15−r1)2=153
  On solving, we get
  r1=12,r2=3
  Required ratio
  =12:3=4:1
• 4 years agoHelpfull: Yes(1) No(0)