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Frankly, I haven't the slightest clue as to what you mean by "the same." The circumference of a circle is defined as pi x 2 x radius, or pi x diameter. The area is pi x radius squared. Therefore, for real circles, these values can only be the same if the diameter measure is the same as the radius squared. This works is the radius is 1 or 2.
The formula for the circumference of a circle is the same, whatever its diameter. Circumference = pi*diameter.
The bases of a cylinder are circles and both have circumferences Area of the base of cylinder and a circle is pi*radius2 Circumference of a cylinder and a circle is 2*pi*radius or diameter*pi