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A 10 inch diameter pumpkin pie is cut into 6 equal servings. What is the area of the top of each piece of pie?

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The area (A) of the whole circle is calculated through the formula, A = πd² / 4. Substituting the given diameter, A = π(10 in)² / 4 = 25π in². The area of the top of each piece is 1/6 of the this area. Thus, the answer is approximately 4.17 in².
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