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Projector Calculator

Find image width, height and lens-to-screen distance from diagonal, aspect ratio and throw ratio.

Image width

2.214m
Image height
1.245 m
Lens-to-screen distance
3.321 m

Formula

Width = diagonal × a/√(a²+b²); height = width × b/a; throw distance = width × throw ratio.

Image diagonal: 100 in · Image width ≈ (100 in × 0.0254 m/in)×(16)÷sqrt((16)^2+(9)^2) · Image height ≈ (2.213801864)×(9)÷(16) · Lens-to-screen distance ≈ (2.213801864)×(1.5)

How to use

  1. Enter the image diagonal and aspect ratio a:b.
  2. Enter the projector lens throw ratio from its specifications.
  3. Read image dimensions and lens-to-screen distance.

Examples

  • A 5 m diagonal at 4:3 has 4 m width; throw ratio 1.5 gives 6 m distance.

Frequently asked questions

Is throw ratio based on the diagonal?

No. Throw ratio is lens-to-screen distance divided by image width.

What if my projector has zoom?

Calculate at both ends of its stated throw-ratio range.

Does this choose a projector or seat distance?

No. It excludes brightness, viewing distance, lens offset and keystone; check the model’s installation guide.

Sources

Updated:

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