The advertised size of a pizza is the diameter of the pizza. Which is CLOSEST to the area of the crust of a 15-inch pizza
A.707 square inches
C.177 square inches
C.225 square inches
D.47 square inches
A = πr^2 = (15/2)^2 * π = ____
area = (15/2)^2π
= 225/4 π
= 56 1/4 π, wo we have appr 56*3
well 56*3 = 168
since we dropped the 1/4 and decimal part of π
168 is a bit below the actual answer.
The choice coming closest to this is 177
and look ma, no calculators were used in this little game.
To find the area of the crust of a pizza, we need to calculate the area of the entire pizza and then subtract the area of the actual circular part of the pizza.
The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.
Given that the advertised size of the pizza is the diameter, we can determine the radius by dividing the diameter by 2. For a 15-inch pizza, the radius would be 15/2 = 7.5 inches.
Now we can calculate the area of the entire pizza:
A = πr^2
A = π(7.5)^2
A ≈ 176.71 square inches
The area of the circular part of the pizza (excluding the crust) can be calculated by subtracting the area of a smaller circle from the area of the larger circle. The smaller circle represents the actual circular part of the pizza without the crust.
Let's assume the crust width is 1 inch. So the radius of the smaller circle would be 7.5 inches - 1 inch = 6.5 inches.
Now we can calculate the area of the crust:
Crust Area = Area of the entire pizza - Area of the circular part
Crust Area = 176.71 square inches - π(6.5)^2
Crust Area ≈ 176.71 square inches - π(42.25)
Crust Area ≈ 176.71 square inches - 132.73 square inches
Crust Area ≈ 43.98 square inches
From the given options, the closest area to 43.98 square inches is D. 47 square inches.