Johanna is selling cheese at the Farmers marketone wheel of cheese has a diameter of 9 in what is the area of the will of thieves use 3.14 for π
____ square inches
if the 9 inch wheel of cheese cause $18.16 what is the cost per square inch is the cost is less than a dollar put a zero to the left of the decimal point
$___per square inch
I just told you how to do it !
4.5 * 4.5 * pi
18.16/ (4.5 * 4.5 *pi)
we prefer the answer over the way to do for your information Mr.Damon
no offense
also Answer:
The area of the wheel cheese is 63.62 inches²
The cost per square inch is $0.29
Step-by-step explanation:
* Lets explain how to solve the problem
- One wheel of cheese has a diameter of 9 inches
∵ The wheel is shaped a circle
∵ The diameter of the wheel is 9 inches
- The radius of the circle is half its diameter
∵ The radius of the wheel = 1/2 its diameter
∴ The radius of the wheel = 1/2 (9) = 4.5 inches
- The area of a circle = πr²
∴ The area of the wheel cheese = π(4.5)² = 63.61725124 inches²
* The area of the wheel cheese is 63.62 inches²
- The 9-inch wheel of cheese costs $18.60
∵ The area of the wheel cheese is 63.62 inches²
∵ It cost is $18.60
- To find the cost per square inch divide the cost of the wheel
by its area
∴ The cost per square inch = 18.60 ÷ 63.62 = 0.29
∴ The cost per square inch is $0.29
To find the area of the wheel of cheese, we can use the formula for the area of a circle: A = πr^2. Given that the diameter of the wheel is 9 inches, we can calculate the radius (r) by dividing the diameter by 2: r = 9/2 = 4.5 inches.
Now, we can plug the value of the radius into the formula to find the area:
A = 3.14 * (4.5)^2
A = 3.14 * 20.25
A ≈ 63.585 square inches
Therefore, the area of the wheel of cheese is approximately 63.585 square inches.
To find the cost per square inch, we need to divide the total cost ($18.16) by the area of the wheel of cheese (63.585). Let's perform the division:
Cost per square inch = $18.16 / 63.585
Cost per square inch ≈ $0.286
Since the cost per square inch is less than a dollar, we put a zero to the left of the decimal point. Therefore, the cost per square inch is $0.286.
To calculate the area of a circle, we use the formula: area = π * r², where π is approximately 3.14 and r is the radius of the circle. However, in this case, we are given the diameter of the cheese wheel, so we need to find the radius first.
The diameter is given as 9 inches, so the radius (r) is half of the diameter: 9 inches / 2 = 4.5 inches.
Now, we can calculate the area of the cheese wheel: area = 3.14 * (4.5 inches)².
Let's plug in the values and solve the equation:
area = 3.14 * (4.5 inches)²
= 3.14 * (4.5 inches * 4.5 inches)
= 3.14 * 20.25 square inches
≈ 63.585 square inches.
Therefore, the area of the cheese wheel is approximately 63.585 square inches.
Next, to find the cost per square inch, we divide the total cost by the area:
cost per square inch = total cost / area
The total cost is given as $18.16. So,
cost per square inch = $18.16 / 63.585 square inches.
Now, let's divide to find the cost per square inch:
cost per square inch = $18.16 / 63.585 square inches
≈ $0.2859 per square inch.
Since the cost is less than a dollar, we put a zero to the left of the decimal point. Therefore, the cost per square inch is $0.2859, which can be rounded to $0.29 per square inch.