Convert in to m

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September 2nd 2010, 09:01 PM
hydride

Convert in to m

How do you convert $14in^2$ to $m^2$ ?
September 2nd 2010, 09:07 PM
Educated

1 inch = 0.0254 meters

1 inch * 1 inch = 0.0254 meters * 0.0254 meters

1 inch squared = 0.00064516 meters squared
September 2nd 2010, 09:14 PM
undefined

Quote:

Originally Posted by hydride

How do you convert $14in^2$ to $m^2$ ?

I like to use 1 inch = 2.54 cm as much as possible since it is an exact definition, not rounded.

$\displaystyle 14\ \text{in}^2=(14\ \text{in}^2)\left(\frac{2.54\ \text{cm}}{1\ \text{in}} \right)^2\left(\frac{1\ \text{m}}{100\ \text{cm}} \right)^2$
September 3rd 2010, 09:49 AM
HallsofIvy

Quote:

Originally Posted by undefined

I like to use 1 inch = 2.54 cm as much as possible since it is an exact definition, not rounded.

So as long as it is exact, you don't mind that it is wrong?
1 inch is approximately 2.54 cm, just as 1 meter is approximately .0254 meters. Both statements have exactly the same accuracy and, in fact, say exactly the same thing.

Quote:

$\displaystyle 14\ \text{in}^2=(14\ \text{in}^2)\left(\frac{2.54\ \text{cm}}{1\ \text{in}} \right)^2\left(\frac{1\ \text{m}}{100\ \text{cm}} \right)^2$
September 3rd 2010, 10:01 AM
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Quote:

Originally Posted by HallsofIvy

So as long as it is exact, you don't mind that it is wrong?
1 inch is approximately 2.54 cm, just as 1 meter is approximately .0254 meters. Both statements have exactly the same accuracy and, in fact, say exactly the same thing.

I think maybe you have been misinformed.

The yard is defined in terms of the metre. (source) I learned it as the inch being defined in terms of centimetre which amounts to the same thing.

The metre is defined in terms of the speed of light traveling at a certain fraction of a second. (source)

The second is defined in terms of the radioactivity of the caesium 133 atom. (source)

By the way I wasn't contradicting Educated's post; I realise they are the same precision/accuracy. I mentioned that I like to use 1 inch = 2.54 cm as a general statement; for example, I would generally not use 1 mile $\approx$ 1.61 km but instead convert the long way.
September 3rd 2010, 04:44 PM
HallsofIvy

I did not understand that you were referring the to so-called "international yard".