Q: What metric unit would you use for the distance between Athens and Leningrad?

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The metric of a geometric space is defined as the distance between two points.

The question is too vague for a proper answer. Distance can crop up in the context of speed, acceleration, kinetics, etc. In each case the definition and formula may vary. There is also the concept of distance between two points in a metric space and the measure of distance will depend on the metric defined on the space. The Euclidean (or Pythagorean) metric and the Minkovsky (or taxicab) metric are two of the more common metrics but there are loads more.

It is simply called the distance between the two points - simple as that. How that distance is measured will depend on the nature of the surface on which the two points are located as well as on the metric for measuring distance that is defined on that space.The common metric in Euclidean space is the Pythagorean distance while on the surface of a sphere (like the Earth, for example), distances are measured along the great arc.

You would use kilometers.

A distance formula is derived from a metric that is defined over the relevant space. There are many different ways of defining a metric.A simple one is sometimes called the taxi cab or Manhattan metric. In a grid environment, the distance between two points is the sum of the North-South distance and the East-West distance.

Related questions

The metric of a geometric space is defined as the distance between two points.

cm

Kilometers

Meters.

The distance between two towns can be measured in either imperial or metric units of length. Imperial unit would be miles, whilst the metric unit would be kilometres.

kilometers

odometer

Meters

The distance between the 0 and 1 markings on a metric ruler.

3884 km

miles

There are many ways to measure distance in math. Euclidean distance is one of them. Given two points P1 and P2 the Euclidean distance ( in two dimensions, although the formula very easily generalizes to any number of dimensions) is as follows: Let P1 have the coordiantes (x1, y1) and P2 be (x2, y2) Then the Euclidean distance between them is the square root of (x2-x1)2+(y2-y1)2 . To understand some other ways of measuring "distance" I introduce the term METRIC. A metric is a distance function. You put the points into the function (so they are its domain) and you get the distance as the output (so that is the range). Another metric is the Taxicab Metric, formally known as the Minkowski distance. We often use the small letter d to mean the distance between points. So d(P1, P2) is the distance between points. Using the Taxicab Metric, d(x, y) = |x1 - x2| + |y2 - y2|