The diameter of a circular pizza is 24 in. How much pizza is eaten (in square inches) if half of it is consumed?
226.08 in²
1/2 pi (24/2)^2 = 72pi in^2
Maybe in this case it actually should be 72 pie !
To find out how much pizza is eaten, we first need to calculate the area of the whole pizza. The formula to find the area of a circle is A = πr^2, where A is the area and r is the radius.
Given that the diameter of the circular pizza is 24 in, the radius (r) is half of the diameter, which is 24 in / 2 = 12 in.
Now, we can calculate the area of the whole pizza:
A = π * r^2
A = π * (12 in)^2
Using the value of π as approximately 3.14 and calculating:
A ≈ 3.14 * 144 in^2
A ≈ 452.16 in^2
The area of the whole pizza is approximately 452.16 square inches.
To determine how much pizza is eaten if half of it is consumed, we need to divide the area in half:
Eaten pizza = 452.16 in^2 / 2
Eaten pizza ≈ 226.08 in^2
Therefore, if half of the circular pizza is consumed, approximately 226.08 square inches of pizza is eaten.
To determine how much pizza is eaten if half of it is consumed, we need to find the area of half of the circular pizza.
The area of a circle is calculated using the formula A = πr², where A represents the area and r represents the radius of the circle.
Given that the diameter of the pizza is 24 inches, the radius (r) of the pizza is half of the diameter, so r = 24 / 2 = 12 inches.
Now we can calculate the area of half of the pizza by dividing the total area of the circle by 2:
A_half = (π * r²) / 2 = (π * 12²) / 2
To simplify the calculation, we can use the approximation that π is approximately equal to 3.14:
A_half ≈ (3.14 * 12²) / 2
A_half ≈ (3.14 * 144) / 2
A_half ≈ (452.16) / 2
A_half ≈ 226.08 square inches
Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza are eaten.