1. The radii of two circles are 4 cm and 3 cm respectively, and the distance between their centers is 13 cm. Find the length of a direct common tangent to the two circles.
2. If the radii of two circles are 3 cm and 11 cm, and the distance between their centers is 17 cm, find the length of a direct common tangent to the circles.
3. The radii of two circles are 4 cm and 3 cm respectively, and the distance between their centers is 13 cm. Find the length of a direct common tangent between the two circles.
4. If two circles with radii of 10 cm and 7 cm are internally tangent to each other, the distance between their centers will be—
(a) 4 cm (b) 6 cm (c) 17 cm (d) 3 cm
5. The radii of two circles are 8 cm and 3 cm, respectively, and the distance between their centers is 13 cm. Find the length of a common external tangent of the circles.
(a) 10 cm (b) 14 cm (c) 15 cm (d) 12 cm
6. The radii of two circles are 5 cm and 3 cm. If the two circles are externally tangent to each other, the distance between their centers will be -
(a) 2 cm (b) 2.5 cm (c) 1.5 cm (d) 8 cm
7. If two circles with radii of 7 cm and 3 cm touch externally, then the distance between their centers will be 4 cm.
8. The distance between the centers of two circles is 4 cm, and the circles are externally tangent to each other. If the radius of the first circle is 5 cm, determine the radius of the second circle.
(a) 13 cm (b) 6.5 cm (c) 3 cm (d) none of the above
9. If two identical circles with a radius of 4 cm are externally tangent to each other, what is the length of their common chord?
10. The radii of two circles are 5 cm and 3 cm respectively. The two circles touch each other externally. Find the distance between the centers of the two circles.
11. The radii of two circles are 3.5 cm and 2 cm respectively. The two circles touch each other internally. Find the distance between the centers of the two circles.
(a) 5.5 cm (b) 1 cm (c) 1.5 cm (d) None of the above
12. The radii of two circles are 8 cm and 3 cm respectively, and the distance between their centers is 1.3 cm. Find the length of a direct common tangent between the two circles.
13. Two circles are touching each other externally, and the distance between their centers is 7 cm. If the radius of one circle is 4 cm, find the radius of the other circle.
