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Screen width/height from diagonal size?

Discussion in 'Home Cinema & Hi-Fi' started by One More Solo, 26 May 2006.

  1. One More Solo

    Capodecina

    Joined: 29 Dec 2004

    Posts: 15,769

    Location: Manchester

    How do you work this out, I had an equation for it but I've lost it and it's too late for maths. :( For a 37" screen what is the visible height/width?
     
  2. Havana_UK

    Mobster

    Joined: 14 Oct 2004

    Posts: 4,821

    Location: location, location

    Pythagoras' Theorum m'boy.

    Width squared + height squared = diagonal squared

    Using this, and the height to width ratio (e.g. 16:9) you can work out the visible area.

    16 squared = 256
    9 squared = 81
    256 + 81 = 337

    square root of 337 = 18.358

    37 / 18.358 = 2.015

    16 x 2.015 = 32.24
    9 x 2.015 = 18.14

    So, there you have it.
    A 37", 16:9 screen has a visible area of 32.24" x 18.14".

    Hav
     
  3. Mud

    Mobster

    Joined: 13 Dec 2004

    Posts: 3,186

    Location: Bristol

    Pythagorus says A^2 + B^2 = C^2...and you know C^2 = 37" and the ratio of A: B, thats all you need.

    16:9 screen so:
    (16x)^2 + (9x)^2 = C^2
    then once you know what x is, 16x is the width, 9x is the height.

    So for 37" screen you're looking at 32.2"x18.1"

    edit: beaten :o