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The area of a circle is given by the formula A = πr^2, where r is the radius of the circle.
Since the diameter is given as 10 millimeters, the radius is half of that, which is 5 millimeters.
Substituting the value of the radius into the formula, we have A = 3.14 * 5^2 = 3.14 * 25 = 78.5
Therefore, the estimated area of the circle is 78.5 square millimeters.