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

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Question: Two circles have radii of 3 cm and 4 cm. What is the distance between their centers if they are externally tangent? (2022)

Options:

Correct Answer: 7 cm

Exam Year: 2022

Solution:

The distance between the centers of two externally tangent circles is the sum of their radii: 3 + 4 = 7 cm.

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

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.

Tangency of Circles – Understanding the relationship between the radii of two circles that are externally tangent, where the distance between their centers equals the sum of their radii.