The formula for the area of a circle is A = pi x r2.
That means that the circle's area is calculated by multiplying the value of "pi" (3.1416) times the radius of the circle (r) multiplied by itself.
A circle's radius is, by definition, half its diameter. So since the formula wants the radius, find that first by dividing the known diameter by 2. (In this case, then, the radius will be half of 12 inches, or 6 inches.)
Now work the problem:
A = pi x r2
A = 3.1416 x 6 in. x 6 in.
A = 3.1416 x 36 in2
A = 113.0976 in2
That's an area of about 113.1 square inches.
Be sure to keep track of the units when working these problems!
Edit: Of course, since a Pizza exists in 3 dimensions, you would multiply the circle area by the depth of the pizza.
113.04
Area = pi x radius^2 A = pi x 2^2 A = 12.566 square inches
17.98 inches, approx.
6
Is the 8 inches of the pizza the diameter or circumference? Is the 8-inches of the box the area of side length? If the diameter if the pizza and the side length of the box are both 8-inches, then the pizza will barely fit. If the circumference of the pizza is 8 inches, that means that the diameter is 8/pi = 2.546..... and that would fit in a box with side lengths of 8-inches. If the box's area is 8-inches, that means the side lengths are the square root of 8=2.828.... A pizza of diameter 8-inches won't fit, but a pizza of circumference of 8-inches will.
I suggest you divide the 14 inches and the 11 inches by 2 to get the radius (presumably, the numbers refer to the diameter). Then you can calculate the area using the formula for a circle, and compare.
Area of pizza: 64pi square inches.
Area = pi x radius^2 A = pi x 2^2 A = 12.566 square inches
It is: 25*pi square inches
17.98 inches, approx.
The area of a pizza depends on the size of said pizza. If there is a certain pizza you would like to find the area of, all you need to do is: 1. measure the diameter of the pizza 2. split the diameter in half to get the radius 3. square the radius and multiply it by pi(3.14). For example, if I have a pizza with a diameter of 10 inches I would split that in half to get a radius of 5 inches. Then I would do this: (3.14) x 52. Which would end up being 78.5 in2. Tada, now you know how to get the formula of a pizza!
6
The answer is 6 inches.
Assuming the pizza is round, use the same formula as area for a circle: A = Pi x R² where Pi = 3.1416 and R² is the radius multiplied by itself (the radius is one-half of the diameter). Using the formula: A = 3.1416 x (6.5 x 6.5) = 3.1416 x 42.25 = 132.7326 sq in.
10.00
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.
Is the 8 inches of the pizza the diameter or circumference? Is the 8-inches of the box the area of side length? If the diameter if the pizza and the side length of the box are both 8-inches, then the pizza will barely fit. If the circumference of the pizza is 8 inches, that means that the diameter is 8/pi = 2.546..... and that would fit in a box with side lengths of 8-inches. If the box's area is 8-inches, that means the side lengths are the square root of 8=2.828.... A pizza of diameter 8-inches won't fit, but a pizza of circumference of 8-inches will.
I suggest you divide the 14 inches and the 11 inches by 2 to get the radius (presumably, the numbers refer to the diameter). Then you can calculate the area using the formula for a circle, and compare.