Projector Throw Distance Calculator

Find the right distance to position your projector from the screen for a perfectly sized image.

How it is calculated

The tool assumes a 16:9 screen. For that shape the width is a fixed share of the diagonal, width = diagonal × 16 ÷ √337 (about 0.8716 × the diagonal), because 16² + 9² = 337. The projector distance is then distance = width × throw ratio. The diagonal is entered in inches and the throw ratio is the plain number from the projector's spec (1.5 for 1.5:1). Results are screen width in centimetres (one decimal) and the projector distance in metres and in feet (two decimals each). Both inputs must be above zero. Other screen shapes such as 4:3 or 16:10 are not handled, and the distance is measured from the lens to the screen, so it is only valid for the projector's fixed-ratio setting, not a zoom range.

Worked example

You have a 120-inch 16:9 screen and a projector with a 1.5:1 throw ratio. Screen width: 120 × 0.8716 = 104.6 in, which is 265.7 cm. Distance: 104.6 in × 1.5 = 156.9 in. In metres that is 156.9 × 0.0254 = 3.98 m, and in feet 156.9 ÷ 12 = 13.07 ft. So the lens should sit about 4 m (13 ft) from the screen to fill it exactly.

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Common mistakes

  • Entering the screen width instead of the diagonal; the field is the diagonal, so a 105-inch wide screen is about a 120-inch diagonal.
  • Using a 4:3 or 16:10 screen size: the width calculation is for 16:9 only, so the distance will be off for other shapes.
  • Typing the throw ratio as 1:5 or 15 instead of 1.5; the ratio is distance divided by width, written as one number.
  • Ignoring that many projectors have a zoom lens, so the spec lists a range such as 1.4–2.2; use one end of the range and you get the nearest or furthest placement, not the only one.
  • Measuring the distance from the projector body or from the ceiling mount bracket instead of from the lens to the screen surface.

About this calculator

A projector's throw ratio — a spec like 1.5:1 printed in every product manual — is the fixed relationship between how far the projector sits from the screen and how wide the resulting image is: Distance = Throw ratio × Screen width. A short-throw projector might have a ratio near 0.5, filling a large screen from just a few feet away, while a standard long-throw projector often sits near 1.5–2.0 and needs considerably more room.

AV installers and home theater designers use this calculation constantly when planning a room, since it determines whether a given projector model can actually produce the desired screen size in the available space — mount a projector too close or too far and the image either overflows the screen or leaves distracting black borders.

Home theater enthusiasts setting up a projector for the first time, classroom and conference-room AV technicians, and installers comparing projector models against a fixed room length all rely on the throw ratio to pick hardware that fits the space before buying it.

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