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A 6 inch personal pizza has 610 calories, with 240 of those from fat. A 12 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 12 inch pizza.
A circle's area goes up with the square of its radius (A = πr2). Since the 12-inch pizza has twice the radius of the six-inch pizza it has 22 = 4 times the area. In addition, since the 12-inch pizza is then cut into 8 slices, each slice has 4/8 = 1/2 times the area of the 6-inch pizza, so each slice has approximately 1/2*610 = 305 calories.

Sagot :

If the 12 inch pizza is cut into 8 (equal) slices, the number of calories in one slice is 2440/8 = 305.

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In the question:

A 6 inch personal pizza has 610 calories, with 240 of those from fat. A 12 inch pizza is cut into 8 slices.

Estimate the number of calories in one slice of a 12 inch pizza.

Now, According to the question:

The 6 inches and 12 inches are  the diameters of the two pizzas.

Consider the two pizzas as similar figures with a ratio of similarity of 2:1. By a basic geometric principle, the ratio of the areas of the two pizzas is the square of that ratio. So the area of the 12 inch pizza is 2^2=4 times the area of the 6 inch pizza.

The number of calories in the 6 inch pizza is 610.

The number of calories in the 12 inch pizza is 610 x 4  = 2440.

Hence, If the 12 inch pizza is cut into 8 (equal) slices, the number of calories in one slice is 2440/8 = 305.

Learn more about Circle at:

https://brainly.com/question/27683633

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