To find the area of one slice of the pizza, we first need to calculate the area of the entire pizza and then divide that by the number of slices.
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Calculate the radius of the pizza: The diameter of the pizza is 12 inches, so the radius \(r\) is: \[ r = \frac{diameter}{2} = \frac{12}{2} = 6 \text{ inches} \]
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Calculate the area of the entire pizza: The area \(A\) of a circle is given by the formula: \[ A = \pi r^2 \] Substituting in the radius: \[ A = \pi (6)^2 = \pi \times 36 = 36\pi \text{ square inches} \]
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Calculate the area of one slice: Since the pizza is cut into 6 equal slices, the area of one slice is: \[ \text{Area of one slice} = \frac{A}{\text{number of slices}} = \frac{36\pi}{6} = 6\pi \text{ square inches} \]
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Final result: The area of one slice of pizza is: \[ 6\pi \text{ square inches} \approx 18.85 \text{ square inches} \text{ (using } \pi \approx 3.14\text{)} \]
Thus, the area of one slice is \(\boxed{6\pi}\) square inches.