Two circles with radii 5 cm and 3 cm are externally tangent. What is the distanc

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Question: Two circles with radii 5 cm and 3 cm are externally tangent. What is the distance between their centers? (2023)

Options:

Correct Answer: 8 cm

Exam Year: 2023

Solution:

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

Two circles with radii 5 cm and 3 cm are externally tangent. What is the distance between their centers? (2023)

Two circles with radii 5 cm and 3 cm are externally tangent. What is the distance between their centers? (2023)

Step 1: Identify the radii of the two circles. The first circle has a radius of 5 cm, and the second circle has a radius of 3 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: 5 cm (radius of the first circle) + 3 cm (radius of the second circle).
Step 4: Calculate the sum: 5 cm + 3 cm = 8 cm.
Step 5: 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.