Two circles with a radius of 5 cm touch each other externally. What is the distance between their centers.
| September 16, 2021 | education
Answer: The distance between the centers of the circles is 10 cm.
If it is said that two circles touch each other, then this means that they have only one common point. Since the radii of the circles are the same, it is only possible to touch from the outside of each of them, and the touching point will be equidistant from the centers of both circles. Thus, the length of the segment drawn between the centers of the circles through the point of their tangency will correspond to the sum of their radii:
5 + 5 = 10 cm.
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