Two circles touch each other externally. The distance between their centres is 14 cm and the sum of their areas is 130 cm2. Find their radii.

• sum of area = 130pi
  let radius of circles are x,14-x.
  so, pi*x^2+pi*(!4-x)^2=130pi
  x^2-14x+33=0
  (x-3)(x-11)=0
  by solving this we wil get x=3,11
  so their radii are 3,11.
• 9 years agoHelpfull: Yes(8) No(1)
• let the radius of 1st circle be xcm.
  and the radius of 2nd one is (14-x)cm.
  so,
  (pi*x*x)+(pi*(14-x)*(14-x))=130
  from here we can find the value of x.
• 9 years agoHelpfull: Yes(4) No(1)
• @ krishna mahato how u are solving by taking the area as 130pi wen d area is 130 cm^2
• 9 years agoHelpfull: Yes(3) No(0)
• Question wrong....
  
  two circles touch externally the sum of their areas is 130pi cm2 and the distance between their centres is 14cm find the sum of their radii
• 9 years agoHelpfull: Yes(1) No(3)
• let d radius of 1 circle = x
  other one = 14-x
  now apply the formula and put the value get the ans
• 9 years agoHelpfull: Yes(1) No(0)
• radius of each circle is 7 cm. as both of the circles touches each other externally so the distance of their centres will act sa diameter and thus radii will be 7 cm.
• 9 years agoHelpfull: Yes(0) No(2)
• wrong question
  as R^2 + r^2 = 130/pi = (130/22)*7 = 41.37 ...................i
  and R + r = 14...................................................................ii
  how i and ii are possible while
  1^2 + 11^2 = 122
  2^2 + 10^2 = 104
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  7^2 + 7^2 = 96
  
• 9 years agoHelpfull: Yes(0) No(0)
• let it go.. :p
• 9 years agoHelpfull: Yes(0) No(1)
• ans: 7.664 cm and 6.336 cm
• 8 years agoHelpfull: Yes(0) No(0)