Pizza Size Value worksheet

1. Best value: Pizza A, price per 100 cm²: $11.49

1. Pizza A: find how much pizza you get, using π times half the diameter squared, times 2 pizzas

   $\pi \times {\left(\frac{12}{2}\right)}^2\times 2$$=226.19\text{\hspace{0.17em}cm²}$

2. Pizza A: divide the price by the area, so every size is priced on the same footing (per 100 cm²)

   $\frac{\mathrm{\$26.00}}{226.19}\times 100$$=\mathrm{\$11.49}$

3. Pizza B: find how much pizza you get, using π times half the diameter squared

   $\pi \times {\left(\frac{12}{2}\right)}^2$$=113.1\text{\hspace{0.17em}cm²}$

4. Pizza B: divide the price by the area, so every size is priced on the same footing (per 100 cm²)

   $\frac{\mathrm{\$16.00}}{113.1}\times 100$$=\mathrm{\$14.15}$

5. The lowest price per area is the best value

   $\text{Best value: Pizza A}$$=\mathrm{\$11.49}$

2. Best value: Pizza B, price per 100 cm²: $7.46

1. Pizza A: find how much pizza you get, using π times half the diameter squared

   $\pi \times {\left(\frac{13}{2}\right)}^2$$=132.73\text{\hspace{0.17em}cm²}$

2. Pizza A: divide the price by the area, so every size is priced on the same footing (per 100 cm²)

   $\frac{\mathrm{\$14.00}}{132.73}\times 100$$=\mathrm{\$10.55}$

3. Pizza B: find how much pizza you get, using π times half the diameter squared, times 2 pizzas

   $\pi \times {\left(\frac{16}{2}\right)}^2\times 2$$=402.12\text{\hspace{0.17em}cm²}$

4. Pizza B: divide the price by the area, so every size is priced on the same footing (per 100 cm²)

   $\frac{\mathrm{\$30.00}}{402.12}\times 100$$=\mathrm{\$7.46}$

5. The lowest price per area is the best value

   $\text{Best value: Pizza B}$$=\mathrm{\$7.46}$

3. Best value: Pizza A, price per 100 cm²: $4.32

1. Pizza A: find how much pizza you get, using π times half the diameter squared, times 2 pizzas

   $\pi \times {\left(\frac{18}{2}\right)}^2\times 2$$=508.94\text{\hspace{0.17em}cm²}$

2. Pizza A: divide the price by the area, so every size is priced on the same footing (per 100 cm²)

   $\frac{\mathrm{\$22.00}}{508.94}\times 100$$=\mathrm{\$4.32}$

3. Pizza B: find how much pizza you get, using π times half the diameter squared

   $\pi \times {\left(\frac{18}{2}\right)}^2$$=254.47\text{\hspace{0.17em}cm²}$

4. Pizza B: divide the price by the area, so every size is priced on the same footing (per 100 cm²)

   $\frac{\mathrm{\$13.00}}{254.47}\times 100$$=\mathrm{\$5.11}$

5. The lowest price per area is the best value

   $\text{Best value: Pizza A}$$=\mathrm{\$4.32}$

4. Best value: Pizza B, price per 100 in²: $9.05

1. Pizza A: find how much pizza you get, using π times half the diameter squared

   $\pi \times {\left(\frac{12}{2}\right)}^2$$=113.1\text{\hspace{0.17em}in²}$

2. Pizza A: divide the price by the area, so every size is priced on the same footing (per 100 in²)

   $\frac{\mathrm{\$12.00}}{113.1}\times 100$$=\mathrm{\$10.61}$

3. Pizza B: find how much pizza you get, using π times half the diameter squared

   $\pi \times {\left(\frac{15}{2}\right)}^2$$=176.71\text{\hspace{0.17em}in²}$

4. Pizza B: divide the price by the area, so every size is priced on the same footing (per 100 in²)

   $\frac{\mathrm{\$16.00}}{176.71}\times 100$$=\mathrm{\$9.05}$

5. The lowest price per area is the best value

   $\text{Best value: Pizza B}$$=\mathrm{\$9.05}$

5. Best value: Pizza B, price per 100 cm²: $5.09

1. Pizza A: find how much pizza you get, using π times half the diameter squared

   $\pi \times {\left(\frac{11}{2}\right)}^2$$=95.03\text{\hspace{0.17em}cm²}$

2. Pizza A: divide the price by the area, so every size is priced on the same footing (per 100 cm²)

   $\frac{\mathrm{\$10.00}}{95.03}\times 100$$=\mathrm{\$10.52}$

3. Pizza B: find how much pizza you get, using π times half the diameter squared

   $\pi \times {\left(\frac{20}{2}\right)}^2$$=314.16\text{\hspace{0.17em}cm²}$

4. Pizza B: divide the price by the area, so every size is priced on the same footing (per 100 cm²)

   $\frac{\mathrm{\$16.00}}{314.16}\times 100$$=\mathrm{\$5.09}$

5. The lowest price per area is the best value

   $\text{Best value: Pizza B}$$=\mathrm{\$5.09}$

6. Best value: Pizza B, price per 100 cm²: $7.05

1. Pizza A: find how much pizza you get, using π times half the diameter squared

   $\pi \times {\left(\frac{9}{2}\right)}^2$$=63.62\text{\hspace{0.17em}cm²}$

2. Pizza A: divide the price by the area, so every size is priced on the same footing (per 100 cm²)

   $\frac{\mathrm{\$13.00}}{63.62}\times 100$$=\mathrm{\$20.43}$

3. Pizza B: find how much pizza you get, using π times half the diameter squared, times 2 pizzas

   $\pi \times {\left(\frac{17}{2}\right)}^2\times 2$$=453.96\text{\hspace{0.17em}cm²}$

4. Pizza B: divide the price by the area, so every size is priced on the same footing (per 100 cm²)

   $\frac{\mathrm{\$32.00}}{453.96}\times 100$$=\mathrm{\$7.05}$

5. The lowest price per area is the best value

   $\text{Best value: Pizza B}$$=\mathrm{\$7.05}$

7. Best value: Pizza A, price per 100 cm²: $13.68

1. Pizza A: find how much pizza you get, using π times half the diameter squared

   $\pi \times {\left(\frac{11}{2}\right)}^2$$=95.03\text{\hspace{0.17em}cm²}$

2. Pizza A: divide the price by the area, so every size is priced on the same footing (per 100 cm²)

   $\frac{\mathrm{\$13.00}}{95.03}\times 100$$=\mathrm{\$13.68}$

3. Pizza B: find how much pizza you get, using π times half the diameter squared

   $\pi \times {\left(\frac{10}{2}\right)}^2$$=78.54\text{\hspace{0.17em}cm²}$

4. Pizza B: divide the price by the area, so every size is priced on the same footing (per 100 cm²)

   $\frac{\mathrm{\$15.00}}{78.54}\times 100$$=\mathrm{\$19.10}$

5. The lowest price per area is the best value

   $\text{Best value: Pizza A}$$=\mathrm{\$13.68}$

8. Best value: Pizza B, price per 100 cm²: $5.97

1. Pizza A: find how much pizza you get, using π times half the diameter squared

   $\pi \times {\left(\frac{13}{2}\right)}^2$$=132.73\text{\hspace{0.17em}cm²}$

2. Pizza A: divide the price by the area, so every size is priced on the same footing (per 100 cm²)

   $\frac{\mathrm{\$14.00}}{132.73}\times 100$$=\mathrm{\$10.55}$

3. Pizza B: find how much pizza you get, using π times half the diameter squared, times 2 pizzas

   $\pi \times {\left(\frac{16}{2}\right)}^2\times 2$$=402.12\text{\hspace{0.17em}cm²}$

4. Pizza B: divide the price by the area, so every size is priced on the same footing (per 100 cm²)

   $\frac{\mathrm{\$24.00}}{402.12}\times 100$$=\mathrm{\$5.97}$

5. The lowest price per area is the best value

   $\text{Best value: Pizza B}$$=\mathrm{\$5.97}$

9. Best value: Pizza B, price per 100 in²: $5.73

1. Pizza A: find how much pizza you get, using π times half the diameter squared

   $\pi \times {\left(\frac{14}{2}\right)}^2$$=153.94\text{\hspace{0.17em}in²}$

2. Pizza A: divide the price by the area, so every size is priced on the same footing (per 100 in²)

   $\frac{\mathrm{\$10.00}}{153.94}\times 100$$=\mathrm{\$6.50}$

3. Pizza B: find how much pizza you get, using π times half the diameter squared

   $\pi \times {\left(\frac{20}{2}\right)}^2$$=314.16\text{\hspace{0.17em}in²}$

4. Pizza B: divide the price by the area, so every size is priced on the same footing (per 100 in²)

   $\frac{\mathrm{\$18.00}}{314.16}\times 100$$=\mathrm{\$5.73}$

5. The lowest price per area is the best value

   $\text{Best value: Pizza B}$$=\mathrm{\$5.73}$

10. Best value: Pizza A, price per 100 cm²: $5.85

1. Pizza A: find how much pizza you get, using π times half the diameter squared

   $\pi \times {\left(\frac{14}{2}\right)}^2$$=153.94\text{\hspace{0.17em}cm²}$

2. Pizza A: divide the price by the area, so every size is priced on the same footing (per 100 cm²)

   $\frac{\mathrm{\$9.00}}{153.94}\times 100$$=\mathrm{\$5.85}$

3. Pizza B: find how much pizza you get, using π times half the diameter squared

   $\pi \times {\left(\frac{15}{2}\right)}^2$$=176.71\text{\hspace{0.17em}cm²}$

4. Pizza B: divide the price by the area, so every size is priced on the same footing (per 100 cm²)

   $\frac{\mathrm{\$14.00}}{176.71}\times 100$$=\mathrm{\$7.92}$

5. The lowest price per area is the best value

   $\text{Best value: Pizza A}$$=\mathrm{\$5.85}$