A scale calculator that handles the units for you
A scale tells you how many times reality has been shrunk on paper. At 1:25,000, 1 cm on the map is 25,000 cm on the ground, which is 250 m. The maths is easy; losing a zero while converting centimetres to kilometres, or inches to miles, is easier. This scale conversion tool does all three calculations, with its own unit on each side: millimetres, centimetres, metres, kilometres, inches, feet or miles. Everything runs in your browser.
How to use it
- In "Scale", type
1:25000,1/50or just25000, or tap a button in the "Plans", "Maps", "Models" and "Enlargement" rows. For a drawing larger than the object, type2:1. - Under "I want to find:", pick "the real distance", "the length on the plan" or "the scale".
- Fill in "Length on the plan" and "Real distance" as needed and choose a "Unit" for each. The calculated box has a dashed border.
- Read the "Result" and the working below it, then press "Copy result" if you need it.
The "Conversion table" block turns 1 mm, 1 cm, 5 cm or 1 m on the plan into real distances, and the other way round. It also suggests a "Scale bar to draw" about 5 cm (or 2 inches) long. The last block, "Convert a graphic scale bar", is for documents that only show a graduated bar.
Worked examples
- Walking map at 1:25,000: 4 cm × 25,000 = 100,000 cm = 1 km.
- Architect's plan at 1:50: a 7 m wall is 700 cm ÷ 50 = 14 cm on the drawing.
- Die-cast car at 1:43: a 4.3 m car is 430 cm ÷ 43 = 10 cm long.
- US house plan at 1/4 inch = 1 foot: one foot is 12 inches, and 12 ÷ 0.25 = 48, so the scale is 1:48. Enter 0.25 in and 1 ft and choose "the scale".
Working backwards is just as quick. On an old town map with no legend, 2.5 cm covers the 500 m between two junctions: 500 m = 50,000 cm, and 50,000 ÷ 2.5 = 20,000. The scale is 1:20,000. When the division is not a whole number, the tool shows both the "Rounded scale" and the "exact scale": a 3 cm bar labelled 1 km gives 1:33,333, exactly 1:33,333.333.
Enlargement scales work too. At 2:1, a 12 mm screw is drawn 24 mm long.
Common scales by use
| Use | Scale | 1 cm on paper is |
|---|---|---|
| Joinery detail, small machine part | 1:10, 2:1 | 10 cm, 5 mm |
| Room layout | 1:50 | 50 cm |
| House floor plans and elevations | 1:100 | 1 m |
| Site plan | 1:200, 1:500 | 2 m, 5 m |
| Walking map | 1:25,000 | 250 m |
| Regional map | 1:50,000, 1:100,000 | 500 m, 1 km |
| Model railway HO, N | 1:87, 1:160 | 87 cm, 1.6 m |
| Model cars | 1:43, 1:24, 1:18 | 43 cm, 24 cm, 18 cm |
A common mix-up: a "large scale" map is 1:25,000 rather than 1:100,000. It shows things larger and in more detail, over a smaller area.
FAQ
How do I calculate a scale from two measurements?
Put both lengths in the same unit, then divide the real distance by the length on the plan. The answer n gives the scale 1:n. Choose "the scale" under "I want to find:" and the unit conversion is done for you.
How far is 1 inch on a 1:63,360 map?
Exactly one mile, because a mile is 63,360 inches. On a 1:25,000 map, 1 inch is 635 m, or about 0.39 miles.
My plan was photocopied at a smaller size. Is the scale still right?
No. The written scale no longer applies, but a graduated bar shrinks with the drawing. Measure that bar, use "Convert a graphic scale bar", then press "Use this scale" to carry on with the new value.
Can I mix inches and centimetres?
Yes. Each side has its own "Unit". At 1:12, 1 inch on the model is 12 inches, which is 1 foot or 30.48 cm if you pick centimetres.