The radius of the first circle is 2 cm, the radius of the second circle is 3 cm. The distance between the centers
The radius of the first circle is 2 cm, the radius of the second circle is 3 cm. The distance between the centers of these circles is: 1) 5 cm; 2) 4 cm; 3) 8 cm How are these circles located relative to each other?
Given two circles with a radius of one 2 cm, and the second 3 cm, then
1) If the distance between the centers of these circles is 5 cm, then these circles touch each other, since the sum of their radii is equal to the distance between the centers of the same circles: 2 + 3 = 5.
2) If the distance between the centers of these circles is 4 cm, then these circles intersect each other, since the sum of their radii is greater than the distance between the centers 5> 4.
3) If the distance between the centers of these circles is 8 cm, then these circles do not intersect and do not touch each other, but are at a distance of 3 cm from each other:
8 – 5 = 3 cm.