Relation between Diameter and Perimeter

Q.

Two circles touch each other externally. The sum of their areas is $\left(106\pi \right)c{m}^2$ and the distance between their centers is 14 cm. Find the individual diameters of the circles.

1. 12cm and 6cm

2. 18 cm and 10cm

3. 10cm and 7cm

4. 9cm and 5cm