Two circles have radii of 3 cm and 5 cm. What is the distance between their cent

Practice Questions

Q1
Two circles have radii of 3 cm and 5 cm. What is the distance between their centers if they are externally tangent?
  1. 2 cm
  2. 8 cm
  3. 5 cm
  4. 3 cm

Questions & Step-by-Step Solutions

Two circles have radii of 3 cm and 5 cm. What is the distance between their centers if they are externally tangent?
  • Step 1: Identify the radii of the two circles. The first circle has a radius of 3 cm and the second circle has a radius of 5 cm.
  • Step 2: Understand that when two circles are externally tangent, the distance between their centers is equal to the sum of their radii.
  • Step 3: Add the two radii together: 3 cm (radius of the first circle) + 5 cm (radius of the second circle).
  • Step 4: Calculate the sum: 3 + 5 = 8 cm.
  • Step 5: Conclude that the distance between the centers of the two circles is 8 cm.
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