If a circle has area A, what is the radius in terms of A? (A = πr^2)

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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 a circle has area A, what is the radius in terms of A? (A = πr^2)

Explanation:
A circle’s area is A = πr^2. To solve for the radius, isolate r^2 by dividing both sides by π, giving r^2 = A/π. The radius is the nonnegative square root of r^2, so r = sqrt(A/π). Since a radius is a length, we take the positive root. This is the only expression that directly yields the radius from the area.

A circle’s area is A = πr^2. To solve for the radius, isolate r^2 by dividing both sides by π, giving r^2 = A/π. The radius is the nonnegative square root of r^2, so r = sqrt(A/π). Since a radius is a length, we take the positive root. This is the only expression that directly yields the radius from the area.

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