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Map Scale

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

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Map Scale -

Tag(s) : Arithmetics

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# Map Scale

## Scale Calculator

### What is a map scale? (Definition)

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.

### How to calculate a map scale?

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.

### How to measure a length on a map to scale?

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

### How to convert from one paper size to another?

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

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Map Scale on dCode.fr [online website], retrieved on 2024-09-09, https://www.dcode.fr/draw-scale

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