Question

The radius of circle X is half as long as the radius of circle Y

B. The radius of the circle X is twice as long as the radius of Circle Y
C. The radius of the circle X is the same length as the radius of Circle Y
D. The radius of circle X is more than twice as long as the radius of circle Y"

a) True
b) False

Answer 1

The correct answer is option b) False.The radius of circle X being more than twice as long as the radius of circle Y is false.

Step-by-step explanation:

Based on the information given, we can set up the following relationships:

• Radius of circle X = 2 * Radius of circle YC
• Radius of circle X = Radius of circle YD
• Radius of circle X = 1/2 * Radius of circle YB

Let's assume that the radius of circle YC = r. Using the given relationships, we can find the radius of circle X in terms of r:

• Radius of circle X = 2 * r
• Radius of circle X = r
• Radius of circle X = (1/2) * (2 * r) = r

Since the radius of circle X is the same length as the radius of circle YD, it means that the radius of circle YD is also equal to r.

However, the radius of circle X cannot be both equal to 2 * r and equal to r. Therefore, the statement that the radius of circle X is more than twice as long as the radius of circle Y is false.