Tool for calculating lengths according to drawing scales / maps scales / plans scales from the length as it is drawn or as actually measured.

Map Scale - dCode

Tag(s) : Arithmetics

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A scale of a map (or a diagram or a drawing) is a ratio, a fraction between 2 numbers, the first represents the value measured on the map, the second its correspondence with the actual value of the element.

__Example:__ A scale `1:100` is read *1 to 100* or *1 hundredth scale* and means that `1` unit on the map corresponds to `100` units in reality. It can be `1cm` (which will be `100cm`) or `1km` (which will be `100km`). The plan is a shrinking `100 times` smaller than reality.

__Example:__ A scape `2:1` reads *2 to 1* and means that `2` units on the plane correspond to `1` in reality. This means that the plane is a magnification 2 times, a zoom `x2` of reality.

Measure an element on a drawing or a map and note its value $ a $ (any unit). Then measure this same element in reality and note its value $ b $ (same unit as $ a $). The scale is the result of dividing $ a / b $.

It is common to modify the writing of the fraction by putting it in the form of an irreducible fraction or to use the numerator $ 1 $ for reality-narrowing drawings, or use the denominator $ 1 $ for reality-enlarging drawings.

If a map is scaled, its measurements are proportional to reality, the coefficient of proportionality is the inverse of the value of the scale.

__Example:__ `2cm` on a scale drawing `1:10` (ie `1/10` whose inverse is '10/1 ') corresponds to `2*(10/1)=20cm` in reality.

Conversely, starting from a real length, its multiplication by the scale makes it possible to calculate its length on the map.

__Example:__ `20cm` actually represent `2cm` on a diagram with scale `1:10` because `20*(1/10)=2cm`

Standard paper sizes A0, A1, etc. have a ratio of $ \sqrt{2} $ from one format to the next.

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Cite as source (bibliography):

*Map Scale* on dCode.fr [online website], retrieved on 2024-06-25,

scale,map,plan,drawing,magnification,shrinking,zoom,length,measure

https://www.dcode.fr/draw-scale

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