Aspect ratio / scrren size calculator

Discussion in 'Displays' started by Father John A, Dec 19, 2004.

  1. Father John A

    Father John A Stunt Coordinator

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    Anyone know of a calculator that will give relative picture area depending on screen size and aspect ratio?

    i.e.: If I had a 50" and was watching LOTR 2.35:1, what would the pciture size be?
     
  2. Mark Larson

    Mark Larson Supporting Actor

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    50²=(16x)²+(9x)²
    2500=256x²+81x²
    337x²=2500
    x²=2500/337
    x²=7.42
    x=2.724

    16x=43.6"
     
  3. Father John A

    Father John A Stunt Coordinator

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    You completely lost me.

    Thanks though.
     
  4. ScottHH

    ScottHH Stunt Coordinator

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    There is at least one Calculator on the internet to do it for you, but Mark showed you the math behind the calculators (aka The Pythagorean Theorem a²+b²=c²).

    Assume this is the TV.
    [​IMG]

    We know the ratio of the height and width of all TVs:
    If it's a 16:9 TV, height a=9x and width b=16x
    If it's a 4:3 TV, height a=3x and width b=4x

    Here's the diagonal of the TV:
    [​IMG]

    Now we can substitute x for a and b in Pythagorean Theorem:
    If we assume your 50" TV is a 16:9 widescreen set, we get:
    (9x)²+(16x)²=50²

    Mark then solves this equation for x (a little algebra), and calculates x=2.724

    So a 50" diagonal 16:9 has the following dimensions:
    16x=43.6"
     

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