Activity 4.2.1 Pizza Problems

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Pizza Problems
Solve the following problems by finding the circumference and area of different sizes of pizzas.
1. Complete the table below using the formula:
Radius (inches)
8
𝐶 = 2𝜋𝑟
Circumference (inches)
12
16
20
2. Plot the data from the table above on the coordinate plane below. Label and scale the axes.
3. Is there a linear relationship between the circumference of a pizza and the radius? Explain.
Activity 4.2.1
CT Algebra I Model Curriculum Version 3.0
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4. Complete the table below using the formula:
Radius (inches)
8
Page 2 of 3
𝐴 = 𝜋𝑟 2
Area (square inches)
12
16
20
5. Plot the data from the table above on the coordinate plane below. Label and scale the axes.
6. Is there a linear relationship between the area of a pizza and the radius? Explain.
Activity 4.2.1
CT Algebra I Model Curriculum Version 3.0
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Page 3 of 3
7. Is paying $20 for a large pizza, which is 18 inches in diameter, a better buy than paying $5
for a personal size pizza that is 6 inches across? Explain.
8. Suppose someone eats only the stuffed crust and gives the center of the pizza to a friend.
How can they get the most crust for their money? Justify your answer.
Activity 4.2.1
CT Algebra I Model Curriculum Version 3.0
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