Which statement about a circle is true?

Which statement about a circle is true?

• A. The radius is the distance around the circle
• B. A circle has four sides
• C. The circumference is the distance from the center to a point on the circle
• D. The diameter is the distance across the circle through the center

Answer: (D)

In a circle, focus on three measures: radius, diameter, and circumference. The radius is the distance from the center to any point on the circle. The diameter is the distance across the circle that passes through the center, connecting two points on the circle; it’s the longest distance within the circle and equals twice the radius. The circumference is the distance around the circle, not through its center, and it relates to the radius by 2πr or to the diameter by πd. So, the statement about the diameter is true because it describes the across-the-circle distance that passes through the center, which is exactly the definition of the diameter. For example, if the radius is 4 units, the diameter is 8 units, and the circumference would be about 25.13 units.

In a circle, focus on three measures: radius, diameter, and circumference. The radius is the distance from the center to any point on the circle. The diameter is the distance across the circle that passes through the center, connecting two points on the circle; it’s the longest distance within the circle and equals twice the radius. The circumference is the distance around the circle, not through its center, and it relates to the radius by 2πr or to the diameter by πd.

So, the statement about the diameter is true because it describes the across-the-circle distance that passes through the center, which is exactly the definition of the diameter. For example, if the radius is 4 units, the diameter is 8 units, and the circumference would be about 25.13 units.