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Projector Screen and Placement Models

Estimate screen geometry, brightness and throw distances from projector assumptions.

  • Formula & worked example
  • Private in your browser
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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Private by default

Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

The worked inputs demonstrate the selected model; change a known value or leave an editable unknown empty for a supported inverse.

throw=width×throw ratio; brightness=lumens×gain/area

Worked example

Enter these known values and leave the other values blank.

Width
200 cm
Aspect ratio
16:9 HDTV
Projector brightness
700 ANSI lumens
Screen gain
1
Minimum throw ratio
1.25 :1
Maximum throw ratio
1.5 :1
Vertical lens offset
50 %
Horizontal lens offset
50 %
Screen diagonal
229.47 cm
Height
112.5 cm
Captured 70° viewing distance
1.428 m
Captured 26° viewing distance
4.33 m
One-arcminute pixel model distance
3.58 m
Captured 36° viewing distance
3.08 m
Captured 30° viewing distance
3.73 m
Brightness
28.903 fL
Minimum throw distance
2.5 m
Maximum throw distance
3 m
Vertical lens center position
0 cm
Horizontal lens center position
0 cm

Assumptions and limitations

  • The brightness estimate assumes uniform output and gain; ambient light, calibration and real projector losses are omitted.
  • Viewing-distance fields are captured fixed-angle or pixel-resolution models. Their historical labels do not certify a current installation standard.

Common questions

What does this model assume?

The brightness estimate assumes uniform output and gain; ambient light, calibration and real projector losses are omitted. Viewing-distance fields are captured fixed-angle or pixel-resolution models. Their historical labels do not certify a current installation standard.

How do units and inverse calculations work?

Choose compatible units for each quantity. The model converts quantities internally; supported editable fields can be solved from sufficient independent known values. Display rounding does not change the underlying value.

References

Explicit model domains enforce physical bounds and strict whole-count membership where required. Explanatory image content is replaced by original dimension descriptions without changing its visibility.

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