College Math Placement Practice Test 2025 – Comprehensive All-in-One Guide for Exam Success!

Question: 1 / 400

If the circumference of a circle is 12π, what is the radius?

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To find the radius of a circle when given the circumference, we can use the formula for circumference, which is given by:

\[ C = 2\pi r \]

where \( C \) is the circumference and \( r \) is the radius.

In this case, the circumference is provided as \( 12\pi \). To find the radius, we set up the equation:

\[ 2\pi r = 12\pi \]

Next, to isolate \( r \), we can divide both sides of the equation by \( 2\pi \):

\[ r = \frac{12\pi}{2\pi} \]

The \( \pi \) terms cancel out:

\[ r = \frac{12}{2} = 6 \]

Thus, the radius of the circle is 6. This matches the answer provided, confirming it is indeed correct. This method emphasizes the relationship between circumference and radius, allowing for a straightforward calculation that directly links these two properties of a circle.

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