Pizza Size & Value Comparison Calculator

Two round pizza orders

Which order gives you more pizza for the price?

Compare two circular sizes, whole-number quantities, and prices for one pizza. You will see the full area, order-price, and unit-cost ledger.

Shared diameter unit

Shared display currencyFor labels only; no exchange-rate conversion.

Value comparison

Pizza B gives more area for the price

Pizza B provides 30.6667% more nominal circular area per currency unit.

Advantage30.6667%clear winner

A Pizza A

10 in × 1

Total top area: 78.54 in²
Order total: $12.00
Cost per in²: $0.152789 / in²

B Pizza B

14 in × 1

Total top area: 153.94 in²
Order total: $18.00
Cost per in²: $0.116930 / in²

Total pizza area

Compares nominal circular top area across the entered quantities using in².

2 values. The highest is Pizza B at 153.94 in².

Area received per currency unit

Higher is better; compares total in² divided by total price.

2 values. The highest is Pizza B at 8.55 in² per currency unit.

Show the actual substituted calculation

Pizza A nominal circular top area across its quantity.π × (10 in ÷ 2)² × 1 = 78.539816339745 in²
Pizza A order total from one-pizza price and quantity.12 × 1 = 12 currency units
Pizza A price per in².12 ÷ 78.539816339745 = 0.15278874536822 currency units/in²
Pizza B nominal circular top area across its quantity.π × (14 in ÷ 2)² × 1 = 153.9380400259 in²
Pizza B order total from one-pizza price and quantity.18 × 1 = 18 currency units
Pizza B price per in².18 ÷ 153.9380400259 = 0.1169301622716 currency units/in²
Compare unrounded area received per currency unit; higher area per price is better.Pizza B; 30.666666666667% advantage; clear_winner

Assumptions and limits

This comparison assumes each pizza is a full circle with the entered edge-to-edge diameter.
Crust width, toppings, thickness, slices, coupons, delivery fees, taxes, and minimum-order rules are not modeled.
Both prices must use the same currency and include the same kinds of charges for a fair value comparison.

Formula 1.1.0 · release execution

Two-order value comparison

Compare two round pizza orders by total area and full price

Pizza sizes are advertised by diameter, while the nominal circular top area grows with the square of the radius. This worksheet compares two round orders by total top area, order total, price per square unit, and area received per unit of currency without pretending to know appetite or nutrition.

Step-by-step guide · Two-order value comparison

Build each bundle before comparing its unit price

Circle area: A = π × (diameter ÷ 2)²
Order totals: Area and one-pizza price × whole quantity
Value measure: Total price ÷ total square units

Convert diameter to radius
Divide the advertised diameter by two. Keep the original unit attached, because the next step produces square inches, square centimetres, or another squared length unit.
Calculate one circular area
Square the radius and multiply by π. Retain several digits internally rather than rounding every pie to a whole square unit.
Multiply area and price by their quantities
Two 12-inch pizzas provide about 226.2 square inches. Compare that combined surface and combined price with the competing bundle, not one pizza from each offer.
Divide in one declared direction
Price per square inch makes the lower value cheaper. Area per dollar makes the higher value more generous. Label the direction so readers do not reverse the conclusion.

Compare two round pizza orders by total area and full price: Pizza sizes are advertised by diameter, while the nominal circular top area grows with the square of the radius. This worksheet compares two round orders by total top area, order total, price per square unit, and area received per unit of currency without pretending to know appetite or nutrition.

Diameter is a length, but the comparison depends on square units

A 12-inch pizza has a 6-inch radius, so its nominal top area is π × 6², or about 113.1 square inches. An 18-inch pizza has a 9-inch radius and about 254.5 square inches. The larger diameter is only 50 percent greater, yet the circular area is 125 percent greater because the radius is squared. That is why comparing menu diameters or counting slices can badly misstate how much pizza is offered.

The calculation treats each pie as a full circle with the entered nominal diameter. It does not subtract a crust ring, estimate topping coverage, or account for an irregular hand-stretched edge. If a shop lists centimetres for one item and inches for another, first normalize the diameters with a suitable unit conversion calculator; never divide prices by areas expressed in different square units.

Build each bundle before comparing its unit price

Convert diameter to radius
Divide the advertised diameter by two. Keep the original unit attached, because the next step produces square inches, square centimetres, or another squared length unit.
Calculate one circular area
Square the radius and multiply by π. Retain several digits internally rather than rounding every pie to a whole square unit.
Multiply area and price by their quantities
Two 12-inch pizzas provide about 226.2 square inches. Compare that combined surface and combined price with the competing bundle, not one pizza from each offer.
Divide in one declared direction
Price per square inch makes the lower value cheaper. Area per dollar makes the higher value more generous. Label the direction so readers do not reverse the conclusion.

Three priced examples make the complete comparison reproducible

Each example treats the entered price as the price of one pizza, multiplies it by the whole quantity, and keeps area unrounded until the displayed result. Assume nominal circular diameters and comparable included charges.

OpenStax example: 8 inches at $7.99 versus 16 inches at $13.99

One 8-inch pizza has 50.2655 square inches of nominal top area and costs about $0.158956 per square inch. One 16-inch pizza has 201.0619 square inches and costs about $0.069581 per square inch. Pizza B is the better value, providing about 128.45 percent more area per dollar.

Two 12-inch pizzas at $14 each versus one 18-inch pizza at $24

Pizza A totals 226.1947 square inches and $28, or about $0.123787 per square inch. Pizza B totals 254.4690 square inches and $24, or about $0.094314 per square inch. Pizza B therefore supplies 31.25 percent more area per dollar while also costing $4 less for the order.

Exact tie: 10 inches at $10 versus 20 inches at $40

The 10-inch pizza has 78.5398 square inches, while the 20-inch pizza has four times the area at 314.1593 square inches. Because its $40 price is also four times $10, both cost about $0.127324 per square inch. The value result is an exact tie even though Pizza B is physically larger.

Check menu assumptions before trusting a tiny price advantage

Confirm that each entered price is for one pizza; the calculator multiplies that price by the whole-number quantity to obtain the order total. Treat delivery fees, coupons, tax, and minimum-order charges consistently, because an omitted fixed charge can overwhelm a small unit-price difference.
Use the same currency and diameter unit for both offers. If a total outing budget also includes driving, estimate that separately with the fuel cost calculator rather than hiding transport inside a pizza price.
Do not infer calories, ingredient mass, or nutritional equivalence from geometric area. Thickness, crust style, topping density, and recipe can differ substantially while the top circles are the same size.
Treat close results as ties when the listed diameter is rounded or the handmade shape varies. More printed decimals in the quotient do not make the kitchen measurement exact.

Choose related tools only for the quantity they actually model

The numeric mapping calculator can rescale a value between declared intervals, but it should not be used to invent a serving score from diameter. The circle formula is the relevant relationship here. For a pickup journey, the city distance calculator can estimate straight-line separation between entered places, while a road route and travel time still need a routing service.

Keep the original menu values with the result: diameter, quantity, price, unit, and any excluded charges. That small audit trail lets another person reproduce the comparison and decide whether geometry is the decisive factor for this order. The best offer is not universally the largest circle; it is the bundle whose measured value and practical constraints fit the actual gathering.

Important limitations

The geometry assumes complete circular tops at the listed nominal diameter. It does not model crust width, thickness, slices, toppings, nutrition, serving count, taxes, delivery fees, coupons, mixed currencies, non-round shapes, or multiple candidates beyond the two entered orders.

This formula passed its registered engineering tests and is published under an explicit site-owner policy authorization. No independent expert, QA, editorial, legal, or third-party review is claimed. Verify consequential results with a qualified professional.

Two-order value comparison

Compare two round pizza orders by total area and full price

Step-by-step guide · Two-order value comparison

Build each bundle before comparing its unit price

Circle area: A = π × (diameter ÷ 2)²
Order totals: Area and one-pizza price × whole quantity
Value measure: Total price ÷ total square units

Convert diameter to radius
Divide the advertised diameter by two. Keep the original unit attached, because the next step produces square inches, square centimetres, or another squared length unit.
Calculate one circular area
Square the radius and multiply by π. Retain several digits internally rather than rounding every pie to a whole square unit.
Multiply area and price by their quantities
Two 12-inch pizzas provide about 226.2 square inches. Compare that combined surface and combined price with the competing bundle, not one pizza from each offer.
Divide in one declared direction
Price per square inch makes the lower value cheaper. Area per dollar makes the higher value more generous. Label the direction so readers do not reverse the conclusion.

Diameter is a length, but the comparison depends on square units

Build each bundle before comparing its unit price

Convert diameter to radius
Divide the advertised diameter by two. Keep the original unit attached, because the next step produces square inches, square centimetres, or another squared length unit.
Calculate one circular area
Square the radius and multiply by π. Retain several digits internally rather than rounding every pie to a whole square unit.
Multiply area and price by their quantities
Two 12-inch pizzas provide about 226.2 square inches. Compare that combined surface and combined price with the competing bundle, not one pizza from each offer.
Divide in one declared direction
Price per square inch makes the lower value cheaper. Area per dollar makes the higher value more generous. Label the direction so readers do not reverse the conclusion.

Three priced examples make the complete comparison reproducible

OpenStax example: 8 inches at $7.99 versus 16 inches at $13.99

Two 12-inch pizzas at $14 each versus one 18-inch pizza at $24

Exact tie: 10 inches at $10 versus 20 inches at $40

Check menu assumptions before trusting a tiny price advantage

Confirm that each entered price is for one pizza; the calculator multiplies that price by the whole-number quantity to obtain the order total. Treat delivery fees, coupons, tax, and minimum-order charges consistently, because an omitted fixed charge can overwhelm a small unit-price difference.
Use the same currency and diameter unit for both offers. If a total outing budget also includes driving, estimate that separately with the fuel cost calculator rather than hiding transport inside a pizza price.
Do not infer calories, ingredient mass, or nutritional equivalence from geometric area. Thickness, crust style, topping density, and recipe can differ substantially while the top circles are the same size.
Treat close results as ties when the listed diameter is rounded or the handmade shape varies. More printed decimals in the quotient do not make the kitchen measurement exact.

A Pizza A

B Pizza B

Total pizza area

Area received per currency unit

Convert diameter to radius

Calculate one circular area

Multiply area and price by their quantities

Divide in one declared direction

Diameter is a length, but the comparison depends on square units

Build each bundle before comparing its unit price

Three priced examples make the complete comparison reproducible

OpenStax example: 8 inches at $7.99 versus 16 inches at $13.99

Two 12-inch pizzas at $14 each versus one 18-inch pizza at $24

Exact tie: 10 inches at $10 versus 20 inches at $40

Check menu assumptions before trusting a tiny price advantage

Choose related tools only for the quantity they actually model

Important limitations

A Pizza A

B Pizza B

Total pizza area

Area received per currency unit

Convert diameter to radius

Calculate one circular area

Multiply area and price by their quantities

Divide in one declared direction

Diameter is a length, but the comparison depends on square units

Build each bundle before comparing its unit price

Three priced examples make the complete comparison reproducible

OpenStax example: 8 inches at $7.99 versus 16 inches at $13.99

Two 12-inch pizzas at $14 each versus one 18-inch pizza at $24

Exact tie: 10 inches at $10 versus 20 inches at $40

Check menu assumptions before trusting a tiny price advantage

Choose related tools only for the quantity they actually model