The radii of the two circles are 3 cm and 4 cm, and the distance between their centers is 9 cm.

| April 21, 2021 | education

The radii of the two circles are 3 cm and 4 cm, and the distance between their centers is 9 cm. how many intersection points do the circles have?

Let’s consider all possible cases:
1) Two circles can completely coincide if their centers and radii coincide.
2) Two circles can have one common point when they touch from the inner (then the distance between the centers is equal to the difference in radii) or outer (then the distance between the centers is equal to the sum of the radii) side.
3) Two circles can have two common points when the distance between their centers is less than the sum of their radii.
4) Two circles may not have common points if the distance between their centers is greater than the sum or less than the difference between their radii.

In our case, the distance between the centers of the circles is greater than the sum of their radii, so they have no common points.



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