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4) Which of the following is closest to the area of the top of a round pizza that has a radius of 4 inches? \( \begin{array}{lll}\text { A. } 12.56 \mathrm{in}^{2} & \text { B. } 50.24 \mathrm{in}^{2} & \text { C. } 200.96 \text { in }^{2}\end{array} \)

Ask by Gray Hart. in the United States
Jan 13,2025

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The area is closest to 50.24 in², so the answer is B.

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Beyond the Answer

To find the area of the top of the pizza, you can use the formula for the area of a circle, which is \( A = \pi r^2 \). With a radius of 4 inches, you would calculate: \[ A = \pi (4)^2 = \pi (16) \approx 50.24 \mathrm{in}^2. \] So, the closest answer is B. Now, let’s dive a little deeper! Did you know that the mathematical constant \(\pi\) (approximately 3.14) is used not just for pizzas but also for measuring circular objects everywhere, from wheels to hoops? It’s like the secret sauce of geometry, connecting the circumference and area of circles in a deliciously mathematical way! And here’s a common mistake: forgetting to square the radius! Many people just multiply the radius by \(\pi\), which would give you a value smaller than the area. So remember, it’s essential to square the radius first to get that tasty result! Happy calculating!

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