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Kos (unit)

Kos (unit) is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Kos (unit) rather than just read about it. In short: The kos (Hindi: कोस), also spelled coss, koss, kosh, koh (in Punjabi), krosh, and krosha, is a unit of measurement which is derived from a Sanskrit term, क्रोश krośa, which means a 'call', as the unit was supposed to represent the distance at which another human could be heard. It is an ancient Indian subcontinental standard unit of distance, in use since at least 4 BCE.

Kos (unit) — main illustration
Kos (unit) — illustration

Key takeaways

  • Kos (unit) belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Kos (unit) to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Kos (unit) from memory before moving on to harder problems.

Reference excerpt

The kos (Hindi: कोस), also spelled coss, koss, kosh, koh (in Punjabi), krosh, and krosha, is a unit of measurement which is derived from a Sanskrit term, क्रोश krośa, which means a 'call', as the unit was supposed to represent the distance at which another human could be heard. It is an ancient Indian subcontinental standard unit of distance, in use since at least 4 BCE. According to the Arthashastra, a krośa or kos is about 3,000 metres (9,800 ft). Another conversion is based on the Mughal emperor Akbar, who standardized the unit to 5000 guz in the Ain-i-Akbari. The British in India standardized Akbar's guz to 33 inches (840 mm), making the kos approximately 4,191 metres (13,750 ft). Another conversion suggested a kos to be approximately 2 English miles. A related unit is the gavyuti (also called gow, gaou/gau, gorutam, gāvuta, gavuva, and gavi), said to be equal to the distance at which a cow's call can be heard. This length is usually considered synonymous with the kos, being translated as the equivalent of a western league, though some systems do reckon them to be different (e.g. in the Arthashastra and in Burmese units).

Arthashastra Standard units

The "Arthashastra: Chapter XX. "Measurement of space and time", authored in 4th century BC by Chanakya (also known as Vishnugupta or Kauṭilya), sets this standard breakup of Indian units of length:

1 angul (approximate width of a finger) = approx. 3⁄4 of an inch (19 mm) 4 angul = 1 dhanurgrah (bow grip) = 3 inches (76 mm) 8 angul = 1 dhanurmushti (fist with thumb raised) = 6 inches (150 mm) 12 angul = 1 vitastaa (span-distance of stretched out palm between the tips of a person's thumb and the little finger) = 9 inches (230 mm) 2 vitastaa (from the tip of the elbow to the tip of the middle finger) = 1 aratni or hast (cubit or haath) = 18 inches (460 mm) 4 aratni (haath) = 1 dand or dhanush (bow) = 6 feet (1.8 m); 10 dand = 1 rajju = 60 feet (18 m) 2 rajju = 1 paridesh = 120 feet (37 m) 10 rajju = 1 goruta = 219 yards (1/8 mi; 200 m) 10 goruta= 1 krosha/kos = nearly 3,350 yards (3,060 metres; 1.90 miles)

Conversion to SI units and imperial units Kos may also refer to roughly 1.8 kilometres (1.1 mi) Arthashastra standard unit of kos or krosha is equal to 3075 metres in SI units and 1.91 miles in imperial units.

Usage of kos Evidence of official usage exists from the Vedic period to the Mughal era. Elderly people in many rural areas of the Indian subcontinent still refer to distances from nearby areas in kos. Most Hindu religious Parikrama circuits are measured in kos, such as 48 kos parikrama of Kurukshetra. Along India's old highways, particularly the Grand Trunk Road, one still finds 16th to early 18th century Kos Minars, or mile markers, erected at distances of a little over two miles.

See also

References

Worked examples

Example 1 — a first encounter with Kos (unit)

Start with the simplest possible case. Write down what Kos (unit) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Kos (unit) before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Kos (unit) ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Kos (unit)

In research
Kos (unit) appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Kos (unit) in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Kos (unit) is common in secondary-school and first-year university syllabi. It links to neighbouring topics Customary units of length in India, Hindu astronomy, Indian mathematics, so understanding it makes those chapters shorter.
In everyday life
Look for Kos (unit) outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Kos (unit) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Kos (unit) means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Kos (unit) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Kos (unit) in simple terms?

The kos (Hindi: कोस), also spelled coss, koss, kosh, koh (in Punjabi), krosh, and krosha, is a unit of measurement which is derived from a Sanskrit term, क्रोश krośa, which means a 'call', as the unit was supposed to represent the distance at which another human could be heard. It is an ancient Ind…

Why does Kos (unit) matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Kos (unit)?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Kos (unit).

Tags

  • Customary units of length in India
  • Hindu astronomy
  • Indian mathematics
  • Obsolete units of measurement

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