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4. alex cuts a pizza in half. he discovers that half of the pizza is 14…

Question

  1. alex cuts a pizza in half. he discovers that half of the pizza is 14 inches across. find the area of the pizza.

Explanation:

Step1: Determine the radius of the pizza

Since half of the pizza (the diameter) is \(d = 14\) inches, the radius \(r=\frac{d}{2}\). So, \(r=\frac{14}{2}=7\) inches.

Step2: Use the formula for the area of a circle

The formula for the area of a circle is \(A=\pi r^{2}\). Substitute \(r = 7\) into the formula: \(A=\pi\times(7)^{2}\).

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Answer:

The area of the pizza is approximately \(153.86\) square inches.