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What is the circumference of a circle?

A. [tex]2\pi[/tex]

B. The distance around the circle

C. The length of the radius

D. The length of the diameter


Sagot :

Sure, let's break down the question step by step.

The question is asking for the definition of the circumference of a circle. To understand this, we need to recall what each term means in circle geometry:

1. The radius of a circle is the distance from the center of the circle to any point on its perimeter.
2. The diameter of a circle is the distance across the circle, passing through the center, which is twice the radius.
3. The circumference of a circle is the distance around the circle, i.e., the total length of the boundary of the circle.

Now let's evaluate each of the given options:

A. : This is a mathematical constant often referred to, but it doesn't define what the circumference of the circle is.
B. The distance around the circle: This is the definition of the circumference. It's the total length you would traverse if you walked all the way around the circle.
C. The length of the radius: This is not the correct definition as it only describes the length from the center to the edge.
D. The length of the diameter: This again is not correct as it describes the length from one edge of the circle to the opposite edge passing through the center.

Thus, the correct option is B, "the distance around the circle".