If two circles intersect at points A and B, and the distance between their cente
Practice Questions
Q1
If two circles intersect at points A and B, and the distance between their centers is 10 cm, what is the maximum possible radius of each circle? (2021)
5 cm
10 cm
15 cm
20 cm
Questions & Step-by-Step Solutions
If two circles intersect at points A and B, and the distance between their centers is 10 cm, what is the maximum possible radius of each circle? (2021)
Step 1: Understand that two circles can intersect at two points, A and B.
Step 2: Identify that the distance between the centers of the two circles is given as 10 cm.
Step 3: Realize that for the circles to intersect, the radius of each circle must be less than or equal to half the distance between the centers.
Step 4: Calculate half of the distance between the centers: 10 cm / 2 = 5 cm.
Step 5: Conclude that the maximum possible radius of each circle is 5 cm.
