What will be the Radius of the Smaller Circle? If

Two circles touch externally. The sum of their areas is 130 p sq. cm and the distance between their centers is 14 cm. The radius of the smaller circle is:

  1. 4 cm
  2. 5 cm
  3. 2 cm
  4. 3 cm
Monis Rasool Professor Asked on 28th August 2015 in Maths.
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1 Answer(s)

Answer: (4) 3 cm

Explanation:-

Let the radius of smaller circle be r and bigger circle is R.
According to the question,
R + r = 14 cm = the distance between their centers of the circles.
The sum of their areas = 130 pai sq.cm
Then, Pai (r + R)^2 = 130 pai
(r + R)^2 = 130
Put R = 11 and r = 3
Then, (121 + 9) = 130
Then, the radius of the smaller circle is 3 cm.

Hence, the answer is (4) 3 cm.

 

Anurag Mishra Professor Answered on 2nd September 2015.
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