If the radius is tripled, by what factor does the area increase?

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Prepare for the AMSOC 26-003 Module A Test. Utilize flashcards and multiple choice questions with hints and explanations. Ace your exam!

Multiple Choice

If the radius is tripled, by what factor does the area increase?

Explanation:
Area scales with the square of the radius. If you multiply the radius by a factor, the area multiplies by that factor squared. Here the radius is tripled, so the area becomes (3)^2 = 9 times larger. In other words, the new area is nine times the original.

Area scales with the square of the radius. If you multiply the radius by a factor, the area multiplies by that factor squared. Here the radius is tripled, so the area becomes (3)^2 = 9 times larger. In other words, the new area is nine times the original.

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