Two circles intersect at points A and B. If the radius of the first circle is 5
Practice Questions
Q1
Two circles intersect at points A and B. If the radius of the first circle is 5 cm and the second is 3 cm, what is the maximum distance between the centers of the circles?
8 cm
10 cm
6 cm
7 cm
Questions & Step-by-Step Solutions
Two circles intersect at points A and B. If the radius of the first circle is 5 cm and the second is 3 cm, what is the maximum distance between the centers of the circles?
Step 1: Identify the radius of the first circle, which is 5 cm.
Step 2: Identify the radius of the second circle, which is 3 cm.
Step 3: Understand that the maximum distance between the centers of the two circles occurs when they are farthest apart, which is when you add their radii together.
Step 4: Add the radius of the first circle (5 cm) to the radius of the second circle (3 cm).
Step 5: Calculate the sum: 5 cm + 3 cm = 8 cm.
Step 6: Conclude that the maximum distance between the centers of the circles is 8 cm.
