Two circles with radii of 3 cm and 5 cm touch: 1) externally; 2) internally. Find the distance between their centers.
| June 18, 2021 | education
one
If the circles are tangent externally, then the distance between their centers is equal to the sum of the lengths of the radius of the circle.
OO1 = R1 + R2 = 3 + 5 = 8 cm.
2
If the circles are tangent internally, then the distance between their centers is equal to the difference in the lengths of the radius of the circle.
OO1 = R2 – R1 = 5 – 2 = 3 cm.
Answer: The distance between the centers is: 1) 8 cm, 2) 3 cm.
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