Area of pizza = 49 pi, area of each slice pi/4, so total pepperoni area 7 pi, leaving 42 pi squinches free of slices.
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 area of a 16" pizza is 201.2 sq inches which is 0.1297 sq metres
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.
6
about 28.3 square inches
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.
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
Assume both pizzas are cut into eight slices. 3 slices of the 12 inch pizza make an angle of3 pi/4 and area is 1/2 radius squared times angle where radius is 6 inch so area = 42.4 sq in 2 slices of the 16 inch pizza make an angle of pi/2 and area is 1/2 radius squared times angle where radius is 8 inch so area = 50.2 sq in so the two 16 inch slices give you more pizza