Math question :o

Discussion in 'Community Discussion' started by lamina, Sep 2, 2010.

  1. lamina macrumors 68000

    lamina

    Joined:
    Mar 9, 2006
    Location:
    Niagara
    #1
    Hey guys,

    I've been getting into Illustrator lately and I want to make a graphic of the iPod touch/iPhone screen, and illustrate the size of the iPod nano's screen against that of the iPod touch/iPhone.

    That involves math.

    The iPhone's screen measures 7.6cm tall by 5.1cm wide.

    So I make a box that is 7.6cm by 5.1cm.

    However, I only know the diagonal measurement of the new nano. It is 1.54in (3.9116cm).

    How can I find out the size of the iPod nano screen, based only on two facts:

    1) The screen is perfectly square (or appears to be)
    2) It measures 3.9116cm diagonally
    :confused:
     
  2. ryan0402 macrumors 6502

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    Jul 24, 2010
  3. ryan0402 macrumors 6502

    Joined:
    Jul 24, 2010
  4. Nugget macrumors 65816

    Nugget

    Joined:
    Nov 24, 2002
    Location:
    Houston Texas USA
    #4
    You managed to misspell every word in your post.

    Here's what we know from apple.com:
    • 1.54-inch (diagonal) color TFT display
    • 240-by-240-pixel resolution
    • 220 pixels per inch

    From this we can infer that a^2 + b^2 = 1.54^2. Since it's square, we also know that a==b. Solving for a/b...

    That gives us 1.0889" per side (roughly)
     
  5. lbro macrumors 6502a

    lbro

    Joined:
    Jan 22, 2009
    #5
    a2+b2=c2

    a=2.7659188 cm (or, 1.0889444")
    Derived via pythagorean theorem.
     
  6. SilentPanda Moderator emeritus

    SilentPanda

    Joined:
    Oct 8, 2002
    Location:
    The Bamboo Forest
    #6
    I believe it's 1.1" by 1.1". or 2.794cm

    This is based on:

    1.54-inch (diagonal) color TFT display
    240-by-240-pixel resolution
    220 pixels per inch

    That means it's 240 pixels on each side and is square.

    220 pixels = 1 inch

    20 more pixels is .090909 and some change
     
  7. Nugget macrumors 65816

    Nugget

    Joined:
    Nov 24, 2002
    Location:
    Houston Texas USA
    #7
    Awesome. Two approaches (math and measurement) and we agree to within 0.001"

    I'd say that's conclusive. :)
     
  8. lamina thread starter macrumors 68000

    lamina

    Joined:
    Mar 9, 2006
    Location:
    Niagara
  9. lamina thread starter macrumors 68000

    lamina

    Joined:
    Mar 9, 2006
    Location:
    Niagara
    #9
    Not actual size, but to scale.
     

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  10. fireshot91 macrumors 601

    fireshot91

    Joined:
    Jul 31, 2008
    Location:
    Northern VA
    #10
    Wouldn't it be trig?

    Like the angle levels, and since you have the Hypotenuse?

    Tangent of (45)?
     
  11. lewis82 macrumors 68000

    lewis82

    Joined:
    Aug 26, 2009
    Location:
    Totalitarian Republic of Northlandia
    #11
    You could, but it requires a scientific calculator, unlike the first method. It's quicker, though.
     
  12. LPZ macrumors 65816

    Joined:
    Jul 11, 2006
    #12
    Well, I don't need a calculator to do sin(45) = 1/sqrt(2). ;) So the desired length is 1.54"/sqrt(2), or about 1.54"/1.41 = (1.41 + 0.13)/1.41 = 1 + 0.13/1.41, a bit less than 1.10"
     

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