Which formula for circumference uses diameter?

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Prepare for the Praxis Middle School Mathematics Exam with quizzes. Study with flashcards and multiple choice questions. Each question provides hints and detailed explanations. Ensure success on your test!

Multiple Choice

Which formula for circumference uses diameter?

Explanation:
The key idea is that circumference is tied to diameter through pi. Start from the standard formula C = 2πr and remember that the diameter d equals twice the radius, so r = d/2. Substituting gives C = 2π(d/2) = πd. That shows why the formula that uses diameter is C = πd: you’re multiplying the diameter by pi to get the circumference. For a quick check, if the diameter is 6, C = πd = 6π ≈ 18.85, which matches the usual C = 2πr with r = 3. The other forms either involve the radius rather than the diameter or mix in a squared term, which isn’t correct for circumference.

The key idea is that circumference is tied to diameter through pi. Start from the standard formula C = 2πr and remember that the diameter d equals twice the radius, so r = d/2. Substituting gives C = 2π(d/2) = πd. That shows why the formula that uses diameter is C = πd: you’re multiplying the diameter by pi to get the circumference. For a quick check, if the diameter is 6, C = πd = 6π ≈ 18.85, which matches the usual C = 2πr with r = 3. The other forms either involve the radius rather than the diameter or mix in a squared term, which isn’t correct for circumference.

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