Two circles touch each other externally. If the radius of the first circle is 3

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What’s inside this PDF?

Question: Two circles touch each other externally. If the radius of the first circle is 3 cm and the second is 5 cm, what is the distance between their centers? (2023)

Options:

8 cm
2 cm
15 cm
10 cm

Correct Answer: 8 cm

Exam Year: 2023

Solution:

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

Two circles touch each other externally. If the radius of the first circle is 3

Practice Questions

Two circles touch each other externally. If the radius of the first circle is 3 cm and the second is 5 cm, what is the distance between their centers? (2023)

8 cm
2 cm
15 cm
10 cm

Questions & Step-by-Step Solutions

Two circles touch each other externally. If the radius of the first circle is 3 cm and the second is 5 cm, what is the distance between their centers? (2023)

Step 1: Identify the radius of the first circle, which is 3 cm.
Step 2: Identify the radius of the second circle, which is 5 cm.
Step 3: Understand that when two circles touch each other externally, the distance between their centers is equal to the sum of their radii.
Step 4: Add the radius of the first circle (3 cm) to the radius of the second circle (5 cm).
Step 5: Calculate the sum: 3 cm + 5 cm = 8 cm.
Step 6: Conclude that the distance between the centers of the two circles is 8 cm.

Circle Geometry – Understanding the properties of circles, specifically how to calculate the distance between the centers of two externally touching circles using their radii.

Two circles touch each other externally. If the radius of the first circle is 3

What’s inside this PDF?

Two circles touch each other externally. If the radius of the first circle is 3

Practice Questions

Questions & Step-by-Step Solutions

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