Which mathematical term refers to the distance around a circle?

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The term that refers to the distance around a circle is "circumference." The circumference can be understood as the total linear distance surrounding a circular shape. It can be calculated using the formula (C = 2\pi r) or (C = \pi d), where (r) is the radius of the circle and (d) is the diameter. This measurement is crucial in various applications involving circles, such as in geometry, engineering, and various real-world contexts.

In contrast, the radius is the distance from the center of the circle to any point on its boundary, and the diameter is twice the length of the radius, measuring the distance across the circle through its center. Arc length specifically refers to a portion of the circumference, representing the distance along a segment of the circle rather than the entire perimeter. Thus, "circumference" is the precise term that encapsulates the concept of the total distance around a circle.

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