Overview

Length is a fundamental physical quantity describing the distance between two points along a straight or curved line. In everyday language it answers questions such as how long, tall, or wide an object is. In mathematics and physics, length typically denotes a one-dimensional measure and is represented by a nonnegative number together with a unit.

Units and tools

Length can be expressed in many units. The International System of Units (SI) uses the metre as its base unit, with common multiples and submultiples such as the kilometre, centimetre, and millimetre. Other widely used units include the inch, foot, mile, and nautical mile. Typical tools for measuring length include a ruler, tape measure, calipers, laser rangefinder, or odometer. The choice of tool depends on the scale and required precision.

Definitions and distinctions

In Euclidean geometry, length of a line segment is the distance between its endpoints. In physics there is a useful distinction between path length (the total distance traveled along a path) and displacement (a vector from start to finish). Everyday adjectives such as short and long describe relative length; they are antonyms in common usage and can be contrasted in measurement terms (short versus long).

Measuring curved and composite lengths

Measuring the length of straight objects is straightforward; curved shapes require arc length techniques. In mathematics, arc length can be computed from a curve's parametrization. For objects with two dimensions, the term length is often applied to the longer side while the shorter side is called width or breadth; see discussion of two-dimensional measures here. For distance between two ends in general usage, see distance.

History and standards

Human societies have used nonstandard measures (hands, feet, cubits) before adopting standardized systems. Over time, scientific and commercial needs drove a move toward internationally agreed units and calibration methods. Modern standards rely on reproducible definitions (for example, the metre is defined via physical constants) and precise instruments maintained by national metrology institutes.

Applications and notable facts

Length measurements are essential in construction, engineering, navigation, manufacturing, cartography, and science. Accuracy requirements vary from millimeter tolerances in machining to kilometer scales in mapping. Errors arise from instrument limits, human reading, and environmental effects such as temperature, which can change material dimensions. Recognizing whether a problem calls for linear length, area, volume, or a vector displacement helps select the right measurement and avoids common confusions.

  • Common units: metre, millimetre, inch, foot, mile.
  • Tools: ruler, tape measure, calipers, laser rangefinder.
  • Related ideas: distance, displacement, arc length, width.