Projector Calculator

Find the projected image size from throw ratio and distance.

Image width 2.667
Image diagonal (16:9) 120.46

Formula: width = distance / throw ratio

Step-by-step with your numbers:
1. Values used:
2. Throw ratio = 1.5
3. Throw distance = 4
4.
5. Image width = Throw distance / Throw ratio = 4 / 1.5 = 2.667
6. Image diagonal (16:9) = 120.46
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A projector's throw ratio links the distance to the screen with the image width.

How the Math Works

The Projector Calculator uses the fundamental relationship between throw distance, throw ratio, and image width. Thrown ratio (typically expressed as a decimal like 0.5 or 2.0) represents how many units of distance are required to project one unit of image width. By rearranging this ratio formula, the calculation width = distance / throw_ratio allows you to determine the projected image's width when given the throw distance (distance from projector to screen) and the projector's specific throw ratio. This inverse relationship means a higher throw ratio requires greater distance for the same image size, while a lower throw ratio allows closer placement for larger images.

Practical Applications

To apply this calculation practically, first identify your projector's throw ratio from its technical specifications, then measure the distance from your projector's lens to the intended screen or wall. Input these values into the calculator to instantly determine the resulting image width. This is essential for home theater setups, classroom installations, or event planning where precise screen sizing matters. For example, a projector with a 1.5 throw ratio placed 12 feet from the screen will produce a 8-foot-wide image, helping you verify if your setup matches your desired viewing experience or available screen size.

Day-to-Day Use

This calculation helps avoid costly trial-and-error adjustments when setting up projectors in everyday scenarios. Whether arranging a home cinema, configuring a portable projector for presentations, or optimizing classroom displays, knowing the image size beforehand saves time and ensures compatibility with existing equipment. It prevents situations where images are too large for walls or too small for audiences, enabling efficient space planning and equipment selection. Additionally, understanding throw ratios helps consumers make informed purchasing decisions when comparing projector models, ensuring they choose devices suitable for their typical installation distances and desired image sizes.

Worked example

Throw 1.5 at 4 m gives a 2.67 m wide image (about 121-inch diagonal).

FAQ

What is throw ratio?

Distance to screen divided by image width - lower means a wider image up close.