Two circles touch. The touch is internal. The radius of one circle is 6 cm, and the other is 3
| July 13, 2021 | education
Two circles touch. The touch is internal. The radius of one circle is 6 cm, and the other is 3 times smaller. Find the distance between the centers of the circles.
At the point of tangency of the circles, construct a tangent AB.
The radii OA and O1A are perpendicular to the tangent line and lie on one straight line.
Then the distance between the centers of the circles is equal to: OO1 = OA – O1A = 6 – 2 = 4 cm.
Answer: The distance between the centers of the circles is 4 cm.
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