If two circles have radii of 3 cm and 5 cm, what is the distance between their c

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Question: If two circles have radii of 3 cm and 5 cm, what is the distance between their centers if they are externally tangent?

Options:

Correct Answer: 8 cm

Solution:

Distance between centers = r1 + r2 = 3 + 5 = 8 cm.

If two circles have radii of 3 cm and 5 cm, what is the distance between their centers if they are externally tangent?

If 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 radius of the first circle (r1), which is 3 cm.
Step 2: Identify the radius of the second circle (r2), which is 5 cm.
Step 3: Understand that when two circles are externally tangent, the distance between their centers is equal to the sum of their radii.
Step 4: Calculate the distance between the centers by adding the two radii together: 3 cm + 5 cm.
Step 5: Perform the addition: 3 + 5 = 8 cm.
Step 6: Conclude that the distance between the centers of the two circles is 8 cm.

Tangency of Circles – When two circles are externally tangent, the distance between their centers is equal to the sum of their radii.
Circle Geometry – Understanding the properties of circles, including radius and distance between centers.