The answer depends on what the 5 inches refers to!
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A circle's radius is always 1/2 of the circle's diameter, so the radius of a circle of 5-inch diameter is 2-1/2 inches.
19.63 square inches are in the area of a 5-inch diameter circle.
Diameter = 2 x radius = 5 inches.
d = 1.59 inches
The diameter is twice the radius so a circle with a radius of 2.5 will have a diameter of 5.