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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.
Explaination

The area of the circle with a radius of 3 is πr2= π× r2= 9π. The area of the larger circle is 4 × 9π = 36π. Therefore, r2= 36, so r = 36 = 6. The radius of the larger circle is 6.