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What is the area of the gray region, in square units, if the radius of the larger circle is four times the radius of the smaller circle and the diameter of the smaller circle is 2 units? Express your answer in terms of pi

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DeanR

OK, no figure, but from the comment is sounds like the grey area is the big circle minus the small circle.

The diameter of the small circle is 2 so its radius is 1 and its area πr² is π.

The radius of the larger circle is 4, so area 16π

The shaded area is 16π - π

Answer: 15π

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