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Question:
The area of one circle is four times as large as a smaller circle with a radius of 3 inches. The radius of the larger circle is _________.
A
6 inches.
explanation
The area of the circle with a radius of 3 is \(πr^2 = π × r^2 = 9π\). The area of the larger circle is 4 × 9π = 36π. Therefore, \(r^2 = 36\), so r = 6. The radius of the larger circle is 6.
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