What will be the Radius of the Smaller Circle? If
Answer: (4) 3 cm
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.