How does the area of a circle change when the radius doubles?

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 $24.99Unlock all

Prepare for the NOCTI Horticulture exam with flashcards and multiple choice questions. Each question features hints and answers for an effective study experience. Get exam-ready now!

Multiple Choice

How does the area of a circle change when the radius doubles?

Explanation:
Doubling the radius makes the area grow by a factor of four because the area of a circle is proportional to the square of the radius: A = πr^2. If r becomes 2r, the new area is A' = π(2r)^2 = 4πr^2, which is four times the original. So the area quadruples. This follows the general rule: scaling a linear dimension by k scales area by k^2. Doubling the radius does not simply double the area and it certainly isn’t unchanged.

Doubling the radius makes the area grow by a factor of four because the area of a circle is proportional to the square of the radius: A = πr^2. If r becomes 2r, the new area is A' = π(2r)^2 = 4πr^2, which is four times the original. So the area quadruples. This follows the general rule: scaling a linear dimension by k scales area by k^2. Doubling the radius does not simply double the area and it certainly isn’t unchanged.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy