Real Distance from Map
Actual distance from map distance and scale.
Formula
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Example
2 cm × 50000 = 1 km
How it works
Map scale tells you how much a small length on the map represents in the real world. To find the true distance, you multiply the measured map distance by the scale factor, because each map unit stands for a fixed number of real-world units. The result only makes sense if both quantities use matching units after conversion.
When to use it
Use this when measuring distances on maps, atlases, or site plans, such as the distance between two towns or across a park. It is also useful in geography, navigation, and simple route-planning problems.
Worked example, step by step
Map distance, d = 3 cm Scale factor, S = 20,000 D = d × S D = 3 × 20,000 = 60,000 cm Convert to metres: 60,000 cm ÷ 100 = 600 m Final answer: the real distance is 600 m
Common mistakes to avoid
- Multiplying by the scale the wrong way round instead of using D = d × S
- Forgetting to convert the final answer into sensible units like metres or kilometres
- Using a scale ratio without checking what one map unit represents in real units
Did You Know?
A map's scale bar lets you convert centimetres on paper into real kilometres across the land.
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