How many pizzas would cover my home?

Measure your floor area in the only unit that really matters.

Real maths • Your answers stay on your device

What you'll need

  • Your home's floor area
  • The diameter of the pizza you have in mind

Why bother working this out

Floor area is a number that's easy to state and hard to picture. A square metre figure on a real-estate listing doesn't mean much until you compare it to something you have held in your hands, and a pizza is a genuinely useful yardstick: round, flat, and sold in a small number of known diameters.

It also exposes a nice bit of geometry for free. Circles are an inefficient way to tile a rectangle — there is always wasted area between them — so the pizza count you get here is a lower bound on how much pizza it would actually take to physically cover the floor, not an upper one.

The internal living area. A rental listing or floor plan usually states it.

In which unit?

Measured across the whole pizza, crust to crust.

In which unit?

Your number appears here.

Answer the questions and press Show me my weird number. Everything is worked out on your own device.

Making sense of the number

The count scales linearly with floor area and with the inverse square of pizza diameter, so a bigger pizza brings the count down much faster than a bigger pizza's extra size would suggest — doubling the diameter divides the count by four, not two. In the worked example above, a 100 m² home and a 30 cm pizza came to about 1,415; the same floor covered in 40 cm pizzas instead would come to roughly 796.

How we work this out

We convert your floor area and your pizza diameter into metres, work out the area of one pizza as a circle, and divide. The result is an area equivalent: how much pizza it would take to equal your floor, if pizza came in perfectly efficient shapes.

Step by step

  1. Convert your floor area to square metres.
  2. Convert the pizza diameter to metres and halve it to get the radius.
  3. Work out the area of one pizza: π × radius².
  4. Divide your floor area by the area of one pizza.

Worked example

Say:a 100 m² home and a 30 cm pizza. A 30 cm pizza has a 15 cm radius, so its area is π × 0.15² ≈ 0.0707 m². Divide the 100 m² floor by that and you get roughly 1,415 pizzas' worth of area.

What this does not claim

  • This is an area equivalent, not a tiling plan. Circles cannot cover a rectangle without gaps, so physically covering your floor would need noticeably more pizza.
  • Floor area usually means internal living area. Balconies, garages and gardens are up to you.
  • The crust length figure treats every pizza as a perfect circle.

Sources

This calculator uses no external reference values. Every number comes from your own answers, plus standard calendar and unit arithmetic — a mean year of 365.2425 days, and twelve months in a year.