Area of pizza = 49 pi, area of each slice pi/4, so total pepperoni area 7 pi, leaving 42 pi squinches free of slices.
To find the area of each slice of a 12-inch pizza, first calculate the area of the entire pizza using the formula ( A = \pi r^2 ). The radius is 6 inches (half of the diameter), so the area is approximately ( A = \pi (6)^2 \approx 113.1 ) square inches. Since the pizza is cut into 8 equal slices, the area of each slice is about ( \frac{113.1}{8} \approx 14.14 ) square inches. Rounding to the nearest square inch, each slice has an area of approximately 14 square inches.
2.6667
By integration - you divide the figure into many thin slices, and calculate the volume of each slice individually. The volume of each slice, again, can be calculated by integration: divide it into thin rectangles, and calculate the area of each rectangle. If you have a irregular solid figure just immerse it in water and measure the displacement. a la Archimedes
I am not sure how it was originally obtained. In some math book I saw how a specific triangular prism could be divided into three congruent pyramids.The formulat for the volume of a pyramid, or of a cone for that matter, can be obtained quite easily with calculus. The basic idea is to divide the pyramid into thin slices, and calculate the area of each (assuming that each slice is a rectangular block). You might do an approximation in Excel. The thinner the individual slices, the more accurate the result. (Calculus uses more advanced methods, to get the result quicker.)I am not sure how it was originally obtained. In some math book I saw how a specific triangular prism could be divided into three congruent pyramids.The formulat for the volume of a pyramid, or of a cone for that matter, can be obtained quite easily with calculus. The basic idea is to divide the pyramid into thin slices, and calculate the area of each (assuming that each slice is a rectangular block). You might do an approximation in Excel. The thinner the individual slices, the more accurate the result. (Calculus uses more advanced methods, to get the result quicker.)I am not sure how it was originally obtained. In some math book I saw how a specific triangular prism could be divided into three congruent pyramids.The formulat for the volume of a pyramid, or of a cone for that matter, can be obtained quite easily with calculus. The basic idea is to divide the pyramid into thin slices, and calculate the area of each (assuming that each slice is a rectangular block). You might do an approximation in Excel. The thinner the individual slices, the more accurate the result. (Calculus uses more advanced methods, to get the result quicker.)I am not sure how it was originally obtained. In some math book I saw how a specific triangular prism could be divided into three congruent pyramids.The formulat for the volume of a pyramid, or of a cone for that matter, can be obtained quite easily with calculus. The basic idea is to divide the pyramid into thin slices, and calculate the area of each (assuming that each slice is a rectangular block). You might do an approximation in Excel. The thinner the individual slices, the more accurate the result. (Calculus uses more advanced methods, to get the result quicker.)
The answer is 6 inches.
Find the total area of the pizza (assuming round pizza) A= 3.14 X radius squared.Then divide by the number of slices.
about 28.3 square inches
6
9 inches is your radius. Use that to calculate the area of the whole pizza and then divide by 8. (You do not need any sections or angles).
25 square inches
Area of pizza = 49 pi, area of each slice pi/4, so total pepperoni area 7 pi, leaving 42 pi squinches free of slices.
To find the area of each slice of a 12-inch pizza, first calculate the area of the entire pizza using the formula ( A = \pi r^2 ). The radius is 6 inches (half of the diameter), so the area is approximately ( A = \pi (6)^2 \approx 113.1 ) square inches. Since the pizza is cut into 8 equal slices, the area of each slice is about ( \frac{113.1}{8} \approx 14.14 ) square inches. Rounding to the nearest square inch, each slice has an area of approximately 14 square inches.
25 square inches.
The total area of pizza is given by the formula A = pi x r2 where r is the radius. So the total area of the pizza is approximately 144(pi) or 452.39 square inches, and if cut into 16 pieces will yield approximately 28.27 square inches per slice.
28.27 square inches.
Each slice is about 25.45 square inchesArea = pi r2 = pi (182) = 254.47 square inchesor arc = 5.4 inches