The area of a pizza is calculated using the formula for the area of a circle, which is πr² (pi times the radius squared). The radius of a pizza is half of its diameter.
If you have a 12-inch pizza, the radius (r) would be 12/2 = 6 inches. Now, you can use the formula:
- Area=π×r ^ 2
- Area=π×(6in) ^ 2
- Area≈3.14×36 in ^ 2
- Area≈113.04in ^ 2
So, the approximate area of a 12-inch pizza is 113.04 square inches.
What is the formula for calculating the area of a circle?
The formula for calculating the area of a circle is:
A=πr ^ 2
Where:
- A is the area of the circle,
- π is a mathematical constant approximately equal to 3.14159,
- r is the radius of the circle.
To find the area, square the radius and multiply it by the constant π. If you know the diameter (d), you can find the radius (r) by dividing the diameter by 2 ( r = d /2)
How do you apply the area formula to determine the size of a 12-inch pizza?
To determine the size of a pizza using the area formula, you’ll need to know the radius of the pizza. Since the given information is the diameter of the pizza, which is 12 inches, you can find the radius (r) by dividing the diameter by 2.
r = 12 / 2 = 6 inches
Now that you know the radius (r = 6 inches), you can apply the area formula:
A=πr ^ 2
A=π×(6 ^2)
A=π×36
Now, you can either leave the answer in terms of π or use an approximate value for π, such as 3.14159.
If you use an approximate value:
A≈3.14159×36 square inches
A≈113.097 square inches
So, the area of a 12-inch pizza is approximately 113.097 square inches.
Final Words
We’ve learned that the area of a 12-inch pizza can be found using the formula πr², where “r” is half the diameter. By breaking down the steps, we divide the diameter by 2, square the result, multiply by π, and get the pizza’s area.
Knowing how to do this helps us appreciate the space our pizza covers – about 113.04 square inches for a 12-inch pizza. So, next time you’re enjoying a pizza, you’ll have a little math secret about its size!