Question

Mr. Bernard needs to order more boxes for his 16 inch diameter “Super Pizza” Use 3.14 to approximate pi

1. What is the Circumference of the super pizza? Give your answer with the correct label. Show your work.

2. What is the area of the Super pizza? Give your answer with the correct label. Show your work.

3. If he sells the pizza for $0.18 per square inch what is the total cost of his pizza? Show or explain your work.

4. Which measurement of the pizza is larger, Circumference or area? Show or explain your work. Why is this true?

Answer:
Circumference of Super pizza-
Area of Super pizza-

Answer 1

1.
`\text{Circumference of circle}=50.24\text{ inches}`

2.
`\text{Area of Super pizza}=200.96\text{ inch}^2`

3.
`\text{Total cost of pizza}=36.1728\approx \$36.17`

4. Area.

Explanation:

We have been given that Mr. Bernard needs to order more boxes for his 16 inch diameter “Super Pizza”.

1. Since we know that circumference of a circle equals to
`2\pi r`, where r represents radius of the circle.

To find the circumference of our given pizza we need to find radius of the pizza. Since we know that diameter of a circle is 2 times the radius, so dividing the diameter of Super pizza by 2 we will get our radius.

`\text{Radius of Super Pizza}=(16)/(2)=8`

Upon substituting our given values in circumference formula we will get,

`\text{Circumference of circle}=2\pi r`

`\text{Circumference of circle}=2*3.14*8\text{ inches}`

`\text{Circumference of circle}=50.24\text{ inches}`

Therefore, circumference of Super pizza is 50.24 inches.

2. Since we know that area of circle equals to
`\pi r^2`.

`\text{Area of circle}=\pi r^2`

Upon substituting r=8 in area formula we will get,

`\text{Area of Super pizza}=3.14* (8\text{ inch})^2`

`\text{Area of Super pizza}=3.14* 64\text{ inch}^2`

`\text{Area of Super pizza}=200.96\text{ inch}^2`

Therefore, area of super pizza in 200.96 square inches.

3. To find the total cost of pizza we will multiply the area of pizza by cost of per square inch pizza.

`\text{Total cost of pizza}=200.96\text{ inch}^2* \frac{\$0.18}{\text{inch}^2}}`

`\text{Total cost of pizza}=200.96* \$0.18`

`\text{Total cost of pizza}=36.1728\approx \$36.17`

Therefore, the total cost of pizza will be $36.17.

4. We can see that area of Super pizza is 200.96 square inches, while circumference of Super pizza is 50.24 inches. As 200.96 is greater than 50.24, therefore, area of the pizza is greater.

Answer 2

Answer: 1. 50.24 inches

2. 200.96 square inches

3. 36.1728 dollars

4. Area

Explanation:

Since, the diameter of the pizza = 16 inches

⇒ Radius of the pizza = 16/2 = 8 inches

1)
`\text{ The circumference of the pizza} = 2* \pi * 8`

`= 16* \pi`

`= 16* 3.14`

`= 50.24 \text{ inches}`

2)
`\text{ Area of the pizza} =\pi (8)^2`

`= 3.14* 64`

`= 200.96 \text{ square inches}`

3)
`\text{The price of 1 square inches} = \$ 0.18`

⇒
`\text{The price of 200.96 square inches} = 200.96 * 0.18`

`\text{The price of 200.96 square inches} = \$ 36.1728`

4) Since, 200.96 > 50.24

Thus, the measurement of the area of the pizza is greater than that of circumference of the pizza.