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Two circles intersect at points A and B. If the radius of the first circle is 4

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Question: Two circles intersect at points A and B. If the radius of the first circle is 4 cm and the second is 6 cm, what is the maximum distance between the centers of the circles?

Options:

  1. 10 cm
  2. 8 cm
  3. 12 cm
  4. 14 cm

Correct Answer: 10 cm

Solution: 

Maximum distance = r1 + r2 = 4 + 6 = 10 cm.

Two circles intersect at points A and B. If the radius of the first circle is 4

Practice Questions

Q1
Two circles intersect at points A and B. If the radius of the first circle is 4 cm and the second is 6 cm, what is the maximum distance between the centers of the circles?
  1. 10 cm
  2. 8 cm
  3. 12 cm
  4. 14 cm

Questions & Step-by-Step Solutions

Two circles intersect at points A and B. If the radius of the first circle is 4 cm and the second is 6 cm, what is the maximum distance between the centers of the circles?
  • Circle Geometry – Understanding the properties of circles, particularly the relationship between the radius and the distance between centers when circles intersect.
  • Intersection of Circles – Knowing that two circles can intersect at two points and how the distance between their centers relates to their radii.
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