Two circles with radii 7 cm and 3 cm have centers 12 cm apart. How many common tangents can be drawn?
1
2
3
4
Correct answer: 4
Solution
The sum of radii is 7 + 3 = 10 cm, while the distance between centers is 12 cm. Since 12 > 10, the circles are separate and non-intersecting. Two separate circles have 4 common tangents.