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