# 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.

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