# The radius of the first circle is 2cm, and the radius of the second circle is 3cm. The distance between

**The radius of the first circle is 2cm, and the radius of the second circle is 3cm. The distance between the centers of these circles is …**

Let’s find out the relative position of the circles, knowing the radii and the distance between the centers.

Will use reference information:

1) Circles intersect if d <r1 + r2;

2) The circles touch each other if d = r1 + r2;

3) Circles have no common points if d> r1 + r2;

Where d is the distance between the centers of the circles, r1, r2 are the radii.

Decision:

1) r1 = 2 cm, r2 = 3 cm, d = 4 cm.

4 <2 + 3, therefore we have the case of intersection of circles, two common points.

2) r1 = 2 cm, r2 = 3 cm, d = 5 cm.

5 = 2 + 3, therefore we have the case of tangency of circles, one common point.

3) r1 = 2 cm, r2 = 3 cm, d = 8 cm.

8> 2 + 3, so the circles have no common points.