📐 Scale Calculator

Calculate scale and actual distance.

Real Distance

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Scale Information

1:1000 scale means 1cm on map equals 1000cm (10m) in reality.

指南

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Understanding Scale Definition and Notation

Scale is the ratio between distance on a map/drawing and actual distance. 1:1000 scale means 1cm on map = 1000cm (10m) in reality. 1:50,000 topographic map means 1cm map = 500m actual. Larger scale (1:100) shows more detail, smaller scale (1:100000) covers wider area. Architecture drawings: 1:50, 1:100 (detail), 1:200, 1:500 (site plan). Topographic maps: 1:5,000 (urban), 1:25,000 (hiking), 1:50,000 (general). World maps: 1:10,000,000+. Numeric vs graphic scale: Numeric shows 1:10000, graphic shows bar graph.

Architectural Drawing Scales

Floor plans: Typically 1:100 scale. 1cm map = 100cm (1m) actual. 20cm × 15cm drawing = 20m × 15m space. Site plans: 1:200~1:500 showing building and surroundings. Detail drawings: 1:5, 1:10, 1:20 for windows, stairs, bathrooms. Elevations/sections: 1:50~1:100. A3 paper (42cm × 30cm): At 1:100 scale can show 42m × 30m space. CAD printing tip: Set scale accurately. 3cm wall on 1:100 drawing = 3cm × 100 = 300cm = 3m actual. Always check scale first when reading drawings.

Topographic and Hiking Map Scales

1:25,000 topo maps: Most common for hiking. 4cm map = 1km actual. Contour intervals: 1:25,000 has 10m intervals, 1:50,000 has 20m. 1:5,000 urban plan: 20cm map = 1km. Shows detailed roads and buildings. 1:50,000 topo: 2cm map = 1km. Good for viewing entire hiking route. Google Maps scale: Varies by zoom level, check bottom scale bar. Hiking application: On 1:25,000 map, 2cm distance = 500m actual. At 3km/h walking speed, takes 10 minutes. 5 contour lines (50m elevation) = steep section. GPS integration: Match GPS coordinates with topo map to find current location.

Model Making and Scale

Architectural models: 1:100, 1:200 are common. For 1:100 model, actual 3m tall building = 3cm model. Railway models: N-gauge = 1:160, HO-gauge = 1:87, O-gauge = 1:48. Actual 20m train = HO 20m ÷ 87 = 23cm model. Plastic models: 1:48 (large), 1:72 (general), 1:144 (small). Actual 10m fighter jet = 1:72 ~14cm model. Car models: 1:18 (collectible), 1:24 (general), 1:43 (diecast), 1:64 (matchbox), 1:87 (mini). Actual 4.5m sedan = 1:43 ~10.5cm. Figures: 1:6 (30cm action figure), 1:12 (15cm), 1:18 (10cm). Building tip: Mismatched scales look unnatural. Placing 1:87 people in 1:100 building makes people look too large.

GIS and Digital Map Scales

Google Maps zoom levels: Level 15 ≈ 1:10,000, Level 13 ≈ 1:50,000, Level 10 ≈ 1:500,000. Screen size effect: Smartphone (6") and desktop (27") have different actual scales at same zoom level. Always check bottom scale bar. Printing caution: Scale may change when printing digital map to A4 paper. Specify scale before printing. GPS accuracy: Typical smartphone GPS has ±5m error. That's 1mm on 1:5,000 map. Official topographic maps: Available as PDFs maintaining scale when printed.

Practical Scale Calculation Applications

Real estate floor plans: Usually 1:100 scale. 5cm living room on plan = actual 5m. 2m sofa = 2cm on plan. Interior design: 1:50 scale for detailed furniture layout. Actual 1.8m bed = 3.6cm on plan. Civil engineering: 1:1000 site plan where 10cm = actual 100m. 6cm road width = 60m actual road. Hiking distance: Measure with ruler on 1:25,000 map. 8cm distance = actual 2km. At 4km/h takes 30 minutes. Scale conversion: Enlarging 1:100 to 1:50 requires 200% enlargement (2×). Field verification: Drawings may differ from reality, so measure critical dimensions on-site. Especially for renovations, existing drawings often have inaccurate scales.

常見問題

What does a scale of 1:100 mean?

It means 1cm on the drawing equals 100cm (1m) in reality. Multiply the map distance by the scale denominator (N) to get the actual distance.

How is the real distance calculated from the map distance?

Real distance = map distance × N (for a scale of 1:N). For example, at 1:1000 scale, 5cm on the drawing equals 5000cm (50m) in reality.

How do I find the map distance if I know the real distance?

Map distance = real distance ÷ N. To represent an actual 100m at 1:1000 scale, you would draw it as 10cm.

Why do architectural drawings and topographic maps use different scales?

Architectural drawings (1:50~1:200) use larger scales to show fine detail, while topographic maps (1:5,000~1:50,000) use smaller scales to cover wide areas. Choose the scale that fits your purpose.

Do I need to convert my units before entering them?

Map distance should be entered in centimeters. If you measured in meters or millimeters, convert to centimeters first for an accurate result.