What is the relationship between the radius and diameter of a circle?

What is the relationship between the radius and diameter of a circle?

• A. Diameter = 3 × radius
• B. Radius = 2 × diameter
• C. Diameter = 2 × radius
• D. Diameter = radius × π

Answer: (C)

The relationship between the radius and the diameter of a circle is defined by the formula that states the diameter is twice the length of the radius. This means that for any circle, if you measure the radius (which is the distance from the center of the circle to any point on its edge), the diameter (which spans the entire width of the circle across the center) will always be two times that distance. Thus, the correct answer indicates that for every unit of measurement for the radius, the diameter will be double that unit. For example, if the radius is 3 units, the diameter will be 6 units, affirming that the diameter equates to two times the radius. This fundamental understanding is essential in understanding other properties and calculations involving circles.

The relationship between the radius and the diameter of a circle is defined by the formula that states the diameter is twice the length of the radius. This means that for any circle, if you measure the radius (which is the distance from the center of the circle to any point on its edge), the diameter (which spans the entire width of the circle across the center) will always be two times that distance.

Thus, the correct answer indicates that for every unit of measurement for the radius, the diameter will be double that unit. For example, if the radius is 3 units, the diameter will be 6 units, affirming that the diameter equates to two times the radius. This fundamental understanding is essential in understanding other properties and calculations involving circles.