Which formula gives the circumference of a circle in terms of the radius?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $25.99Unlock all

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 gives the circumference of a circle in terms of the radius?

Explanation:
The circumference can be expressed in terms of the radius by using the relationship between diameter and radius. Start with the familiar formula for circumference in terms of diameter: c = πd. Since diameter is twice the radius (d = 2r), substitute to get c = π(2r) = 2πr. So the circumference equals 2π times the radius. This matches the correct form c = 2πr. The other expressions aren’t in terms of the radius: c = πd uses diameter; c = πr^2 is the area formula; c = 2d would give a result that doesn’t match the actual circumference.

The circumference can be expressed in terms of the radius by using the relationship between diameter and radius. Start with the familiar formula for circumference in terms of diameter: c = πd. Since diameter is twice the radius (d = 2r), substitute to get c = π(2r) = 2πr. So the circumference equals 2π times the radius.

This matches the correct form c = 2πr. The other expressions aren’t in terms of the radius: c = πd uses diameter; c = πr^2 is the area formula; c = 2d would give a result that doesn’t match the actual circumference.

More Multiple Choice Questions
Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy