# 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:

- 4 cm
- 5 cm
- 2 cm
- 3 cm

**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.