Problemas

17. Power Pizzas sells 16 inch and 26 inch diameter pizzas . They cut the 16 inch pizza into 6 slices and the 26 inch pizza into 10 slices. What is the area of 2 slices of the 24 inch pizza? ROUND YOUR ANSWER TO THE NEAREST HUNDREDTH. SA=(pi r^2x)/(360)
Solución
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To find the area of 2 slices of the 26 inch pizza, we first need to calculate the area of one slice and then multiply it by 2.<br /><br />1. Calculate the radius of the 26 inch pizza:<br /> Radius \( r = \frac{26}{2} = 13 \) inches<br /><br />2. Calculate the total area of the 26 inch pizza using the formula for the area of a circle:<br /> \( A = \pi r^2 = \pi (13)^2 = 169\pi \)<br /><br />3. Since the pizza is cut into 10 slices, the area of one slice is:<br /> \( \text{Area of one slice} = \frac{169\pi}{10} \)<br /><br />4. The area of 2 slices is:<br /> \( \text{Area of 2 slices} = 2 \times \frac{169\pi}{10} = \frac{338\pi}{10} = 33.8\pi \)<br /><br />5. Using \( \pi \approx 3.14159 \):<br /> \( 33.8\pi \approx 33.8 \times 3.14159 \approx 106.18 \)<br /><br />Therefore, the area of 2 slices of the 26 inch pizza is approximately 106.18 square inches.
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