A pumpkin pie costs $12.55 at Bobby’s Bakery. If the pie has a diameter of 12 inches what is the cost per square inch of the pie?
radius = 6 inches
area = pi * 6^2 = 3.14159 * 36 = about 113 in^2
1255 cents / 113 in^2 = 11.1 cents /in^2
Since the diameter is 12 inches the radius is half that which is 6 inches. Then to find the area of the pumpkin pie we can use the equation A=πr^2 which roughly comes out to 113.1 in^2 (rounded to the hundreds). Then since $12.55 is 1255 cents and we are trying to find the cost per square inch of the pie we can simply divide 1255 by 133.1 which comes out to 11.1 cents per inch squared (rounded to the hundreds)
SO THE ANSWER IS "About 11.1 cents per square inch of the pie"
To find the cost per square inch of the pie, we need to calculate the area of the pie and then divide the cost by the area.
Step 1: Calculate the radius of the pie:
The diameter of the pie is given as 12 inches, so the radius is half of that.
Radius = 12 inches / 2 = 6 inches.
Step 2: Calculate the area of the pie:
The area of a circle can be calculated using the formula A = πr^2, where A is the area and r is the radius.
Area = π * (radius)^2
= π * (6 inches)^2
= 36π square inches.
Step 3: Divide the cost of the pie by the area:
Cost per square inch = Cost / Area
Cost per square inch = $12.55 / 36π square inches.
Approximating the value of π to 3.14:
Cost per square inch ≈ $12.55 / (36 * 3.14) square inches.
Calculating the result:
Cost per square inch ≈ $12.55 / 113.04 square inches.
Therefore, the cost per square inch of the pumpkin pie at Bobby's Bakery is approximately $0.111.
To find the cost per square inch of the pumpkin pie, we need to calculate the area of the pie and then divide the total cost by the area.
Here's how you can do it step by step:
1. Find the radius: Since the diameter is given as 12 inches, the radius can be calculated by dividing the diameter by 2. In this case, the radius would be 12 inches / 2 = 6 inches.
2. Calculate the area: The formula for the area of a circle is π * r^2 (where π is a mathematical constant approximately equal to 3.14159 and r is the radius). Substitute the value of the radius into the formula: Area = π * 6^2 = π * 36.
3. Calculate the cost per square inch: Divide the total cost of the pie by the area. In this case, it is $12.55 / (π * 36).
To simplify the calculation, you can use an approximation for π, such as 3.14. However, if you want a more accurate result, you can use the exact value of π stored on your calculator.
So, to calculate the cost per square inch of the pumpkin pie, divide $12.55 by (π * 36), or $12.55 / (3.14 * 36).