Two circles have radii of 3 cm and 4 cm. What is the distance between their cent

Practice Questions

Q1
Two circles have radii of 3 cm and 4 cm. What is the distance between their centers if they are externally tangent? (2022)
  1. 7 cm
  2. 1 cm
  3. 12 cm
  4. 5 cm

Questions & Step-by-Step Solutions

Two circles have radii of 3 cm and 4 cm. What is the distance between their centers if they are externally tangent? (2022)
  • 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 4 cm.
  • Step 2: Understand that when two circles are externally tangent, they touch each other at one point without overlapping.
  • Step 3: To find the distance between the centers of the two circles, you need to add their radii together.
  • Step 4: Calculate the sum of the radii: 3 cm (radius of the first circle) + 4 cm (radius of the second circle) = 7 cm.
  • Step 5: Conclude that the distance between the centers of the two externally tangent circles is 7 cm.
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