Two circles with a diameter of 10 cm and 15 cm touch each other internally.
| April 3, 2021 | education
Two circles with a diameter of 10 cm and 15 cm touch each other internally. find the distance between the centers of these circles.
Determine the radii of the circles.
R1 = D1 / 2 = 10/2 = 5 cm, R2 = D2 / 2 = 15/2 = 7.5 cm.
Through point A, the point of tangency of the circles, we construct a tangent AB.
The radii OA and O1A are perpendicular to the tangent AB, then the distance between the centers of the circle OO1 = OA + O1A = R1 + R2 = 5 + 7.5 = 12.5 cm.
Answer: The distance between the centers of the circles is 12.5 cm.
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