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The formula for the area of a circle is A = πr^2, where r is the radius of the circle.
Since the bowl has a diameter of 5 inches, the radius is half of that, so r = 2.5 inches.
Plugging this into the formula, we get:
A = π(2.5)^2
A = π(6.25)
A = 19.625 in^2
Therefore, the closest option is D) 19.625 in^2.