Ontario Mathematics Proficiency Practice Test

Question: 1 / 400

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

Radius is twice the circumference

Circumference is calculated as 2π multiplied by radius

The relationship between the radius and circumference of a circle is defined using the formula for the circumference, which states that the circumference is equal to 2π multiplied by the radius. This relationship highlights that the circumference directly depends on the radius; as the radius increases, the circumference also increases proportionally.

In mathematical terms, if you have a circle with a radius \( r \), the circumference \( C \) can be calculated using the formula:

\[ C = 2\pi r \]

This formula illustrates that for every unit increase in the radius, the circumference increases by \( 2\pi \) units. This connection is fundamental in understanding circular geometry, and thus the statement about circumference being calculated as 2π times the radius is accurate and establishes the core relationship between these two measurements in a circle.

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Radius is half the circumference

Circumference is independent of radius

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