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Pizza Value Calculator (Price per Square Inch or cm²)

Which of two pizzas is better value: area from the diameter, price per square inch or cm², and how much bigger the large really is.

Inputs

Better value
Pizza 2

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What each Pizza Value input means

Pizza 1 diameter
The first pizza's size — its diameter across the middle, in cm or inches, as on the menu.
Pizza 1 price
The first pizza's price, in any currency, as long as both prices use the same one.
Pizza 2 diameter
The second pizza's diameter.
Pizza 2 price
The second pizza's price. For a two-for-one or a meal deal, enter what each pizza actually costs you.
Units
Metric (cm) or US units (inches). Switching converts the sizes already entered.

Pizza Value formula

area = π × (diameter ÷ 2)² · price per unit area = price ÷ area · a pizza twice the diameter has four times the area

A=π(d2)2,cost per unit area=PAA = \pi \left(\frac{d}{2}\right)^{2}, \qquad \text{cost per unit area} = \frac{P}{A}

Pizzas are sold by diameter but eaten by area, and area grows with the square of the diameter. A 12-inch pizza is not 50% bigger than an 8-inch one — it is 2.25 times bigger, because (12 ÷ 8)² = 2.25. That is why a large is almost always the better deal: its price rarely rises as fast as its area. The page computes each pizza's area, divides the price by it, names the better value, and says how many times bigger the second pizza is and for what multiple of the price. Enter diameters in inches or centimetres; the comparison is the same in either.

Pizza Value worked example

A 25 cm pizza at 9.99 and a 30 cm pizza at 12.99. Areas: π × 12.5² = 491 cm² and π × 15² = 707 cm². Price per cm²: 9.99 ÷ 491 = 0.0203 and 12.99 ÷ 707 = 0.0184. The 30 cm pizza is 1.44 times the pizza for 1.30 times the price — about 10% cheaper per bite. Two 25 cm pizzas (982 cm² for 19.98) are worse value than one 35 cm pizza (962 cm²) at any price below 19.57.

More Pizza Value examples

A 12-inch pizza at 14.99 against a 16-inch at 21.99: 113.1 against 201.1 square inches, so the 16-inch is 1.78 times the pizza for 1.47 times the price. The result reads Better value: Pizza 2 — 17.5% cheaper per bite.

Where the Pizza Value calculator can give the wrong answer

  • Diameters on menus are nominal. A '12-inch' pizza that measures 11 inches has 16% less area; measure the box if it matters.
  • Crust counts as area here but not as topping. Thick crusts and wide rims mean the topped area grows slower than the whole area.
  • Price per area is one measure of value; a pizza too big to finish is not a bargain, and toppings, delivery and deals change the arithmetic.
  • Rectangular pizzas: enter an equivalent diameter, d = √(4 × width × length ÷ π), or compare areas directly.
  • Ties are reported as ties when the cost per unit area is equal to four decimals.

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Pizza Value reference table

Pizza area by diameter
DiameterAreaCompared with a 12-inch
8 in50.3 sq in0.44×
10 in78.5 sq in0.69×
12 in113.1 sq in1×
14 in153.9 sq in1.36×
16 in201.1 sq in1.78×
18 in254.5 sq in2.25×
Source: Arithmetic: area = π × (diameter ÷ 2)²; in metric, 25 cm is 491 cm², 30 cm 707 cm² and 35 cm 962 cm²

Pizza Value FAQ

Usually. An 18-inch pizza has 254 in² of pizza; two 12-inch pizzas have 226 in² between them and typically cost more. Because area goes with the square of the diameter, one big pizza beats two smaller ones unless the price gap is large.