Two circles with a radius of 5 cm touch each other externally. What is the distance between their centers?

If two circles touch each other, then they have only one point in common. The circle can be touched internally and externally. With an internal touch, one circle is inside the other, and with an external one, the circles are independent.
Circles have two intersection points when the distance between their centers is less than the sum of their radii. Do not have intersection points when the distance between their centers is greater than the sum of their radii. And one point of intersection when the distance between their centers is equal to the sum of their radii. That is, in our case, the distance between the centers of the circles is 10 cm.



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