Stadion to Yojana Conversion Calculator: Free Online Tool

Convert stadia to yojanas with our free online length converter.

Stadion to Yojana Calculator

Stadion
Yojana

How to Use the Calculator:

  1. Enter the value you want to convert in the 'From' field (Stadion).
  2. The converted value in Yojana will appear automatically in the 'To' field.
  3. Use the dropdown menus to select different units within the Length category.
  4. Click the swap button (⇌) to reverse the conversion direction.

How to Convert Stadion to Yojana

Converting Stadion to Yojana involves multiplying the value by a specific conversion factor, as shown in the formula below.

Formula:

1 Stadion = 0.0137037 yojanas

Example Calculation:

Convert 10 stadia: 10 × 0.0137037 = 0.137037 yojanas

Disclaimer: For Reference Only

These conversion results are provided for informational purposes only. While we strive for accuracy, we make no guarantees regarding the precision of these results, especially for conversions involving extremely large or small numbers which may be subject to the inherent limitations of standard computer floating-point arithmetic.

Not for professional use. Results should be verified before use in any critical application. View our Terms of Service for more information.

What is a Stadion and a Yojana?

The Stadion (Ancient Greek: στάδιον, plural: στάδια, stadia) was a prominent ancient Greek unit of length. Its primary basis was the standard length of the track in a Greek stadion (stadium) structure, the venue for footraces and other athletic events.

Like many ancient units, its precise length varied depending on the specific location (polis) and time period, as different stadiums had slightly different track lengths. However, it was generally understood to be 600 Greek feet (podes). Since the Greek foot itself varied, so did the stadion.

Commonly cited values include:

  • Olympic Stadion: Approximately 192.27 meters (m) or about 630.8 feet (ft). Based on the stadium at Olympia.
  • Attic (Athenian) Stadion: Often estimated around 185 meters (m) or about 607 feet (ft). This is a frequently used general approximation.
  • Ptolemaic (Egyptian) Stadion: Used later, sometimes estimated around 157.5 meters (m).

The Yojana (Sanskrit: योजन) is an ancient Indian unit of distance, primarily found in historical texts from South Asia. Its exact length is highly debated and likely varied significantly across different time periods, geographical regions, and textual sources.

There is no single, universally accepted conversion to modern units. Common scholarly estimates place its value anywhere between:

  • 8 to 15 kilometers (km)
  • Approximately 5 to 9 miles (mi)

Some ancient texts define the Yojana in terms of smaller units, such as:

  • 4 krosas (or gorutas)
  • 8,000 dhanus ('bows')
  • 32,000 hastas ('cubits')

However, the lengths of these base units are also subject to historical variation and interpretation, contributing to the uncertainty surrounding the Yojana.

Note: The Stadion is part of the imperial/US customary system, primarily used in the US, UK, and Canada for everyday measurements. The Yojana belongs to the imperial/US customary system.

History of the Stadion and Yojana

The stadion was a fundamental unit in the Hellenic world, dating back to at least the Archaic period (c. 800–480 BCE).

  • Origin: Directly tied to the length of the stadion footrace, which was the premier event at the ancient Olympic Games and other Panhellenic games. The track length became a standard measure.
  • Variability: Different major sites (Olympia, Delphi, Athens, Epidaurus) had stadiums of slightly different lengths, leading to regional variations of the stadion unit. The 600-foot standard was common, but the length of the 'foot' differed.
  • Geographical Measurement: It became the standard unit for measuring larger distances, such as travel routes between cities or the dimensions of territories. Historians like Herodotus and geographers like Strabo used it extensively.
  • Eratosthenes' Calculation: Most famously, Eratosthenes of Cyrene (c. 276–194 BCE) used the stadion to estimate the Earth's circumference with remarkable accuracy for his time. His result depended crucially on the specific stadion length he assumed (likely the Attic or Egyptian stadion).
  • Roman Influence: While the Romans adopted their own system (based on the passus and Roman mile), Greek units like the stadion continued to be understood and sometimes used in the eastern parts of the Roman Empire and referenced by Roman writers like Pliny the Elder when discussing Greek geography.
  • Decline: With the decline of the Greek city-states and the dominance of Rome, followed by later measurement reforms, the stadion gradually fell out of practical use, eventually being entirely superseded by Roman, Byzantine, and later metric or imperial units.
  • Ancient Origins: The term "Yojana" appears in some of the oldest Indian literature, including the Vedas, the Puranas, and the great epics like the Ramayana and Mahabharata. It was a standard measure for long distances.
  • Buddhist Texts: Buddhist scriptures, such as the Pali Canon, frequently use the Yojana to describe geographical distances, the dimensions of mythical realms, or the extent of a Buddha's journey. Different Buddhist traditions sometimes offer varying interpretations of its length.
  • Arthashastra: Kautilya's Arthashastra (an ancient treatise on statecraft, c. 3rd century BCE) provides definitions relating the Yojana to smaller units, suggesting a more standardized system for administrative purposes at that time, though its precise value remains debated.
  • Lack of Standardization: Unlike modern systems, ancient Indian measurements were not centrally standardized across the vast subcontinent and over long periods. Local customs, royal decrees, and the specific context (e.g., measuring road distance vs. cosmological scale) could all influence the intended length.
  • Interpretations: Modern scholars have attempted to calculate the Yojana based on various methods:
    • Analyzing travel times mentioned in texts.
    • Comparing described geographical distances with known locations.
    • Relating it to astronomical measurements found in cosmological texts.
    • Working backward from definitions based on smaller, slightly better-understood units like the hasta (cubit) or angula (finger width). These methods often yield conflicting results.
  • Obsolescence: With the advent of standardized systems like the Imperial system during British rule and later the widespread adoption of the metric system, the Yojana fell out of practical use for measurement.

Common Uses for stadia and yojanas

Explore the typical applications for both Stadion (imperial/US) and Yojana (imperial/US) to understand their common contexts.

Common Uses for stadia

The stadion is now obsolete but was historically essential for:

  • Athletics: Defining the length of the primary footrace and the stadium itself.
  • Geography & Cartography: Measuring distances between locations, the size of regions, and geographical features in the Greek world.
  • Astronomy: Used by figures like Eratosthenes and Ptolemy for astronomical distances and calculations (e.g., Earth's circumference, distances to celestial bodies).
  • Architecture & Urban Planning: Sometimes used for measuring large structures or city dimensions.
  • Historical Texts: Crucial for understanding distances mentioned in ancient Greek literature, historical accounts (like Thucydides or Herodotus), and scientific treatises.

Common Uses for yojanas

The Yojana is primarily encountered today in:

  • Historical Studies: Understanding ancient Indian geography, trade routes, military campaigns, and administrative divisions described in texts.
  • Religious and Literary Studies: Interpreting distances mentioned in Hindu, Buddhist, and Jain scriptures, epics, and classical literature. This includes cosmological descriptions, mythological journeys, and the size of ancient kingdoms or structures.
  • Cultural Context: It remains a part of the cultural lexicon in discussions related to ancient Indian heritage and texts.

It is not used for any practical, scientific, or commercial measurements in the modern era.

Frequently Asked Questions

Questions About Stadion (stadion)

How long was a stadion?

There was no single, universal length for the stadion. It varied by location and era, typically defined as 600 Greek feet (podes), but the length of the foot varied. Key estimates include:

  • Olympic Stadion: ~192 meters (~631 ft)
  • Attic (Athenian) Stadion: ~185 meters (~607 ft) - Often used as a general average.
  • Ptolemaic Stadion: ~157.5 meters (~517 ft) When interpreting ancient texts, the specific context or author might suggest which stadion length is most appropriate.

How many Greek feet were in a stadion?

A stadion was typically defined as 600 Greek feet (podes).

How did the stadion relate to the Roman mile?

The relationship is not exact due to the variability of the stadion. However, Roman writers often used approximations. A common equivalence was 8 stadia ≈ 1 Roman mile (mille passus). Using the Attic stadion (~185 m) gives 8 * 185 m = 1480 m, which is very close to the standard Roman mile of ~1480 meters.

Is the stadion an SI unit?

No, the stadion is not an SI unit. It is an ancient Greek unit of length. The SI base unit for length is the meter (m).

Is the stadion still used today?

No, the stadion is obsolete and not used for any modern measurements. Its significance is purely historical, essential for classical studies, archaeology, and the history of science (especially geography and astronomy).

Is the stadion related to modern stadiums?

Yes, absolutely. The English word "stadium" directly derives from the Greek stadion, referring originally to the unit of length and then to the structure built to that length for footraces.

About Yojana (yojana)

What is the accepted value of a Yojana in modern units?

There is no single universally accepted value. Scholarly estimates vary widely, most commonly falling between 8 kilometers (approx. 5 miles) and 15 kilometers (approx. 9 miles). Some interpretations suggest values as low as 5 km or as high as 20 km. The specific text, time period, and region must be considered.

Why is the length of the Yojana so uncertain?

Several factors contribute to the uncertainty:

  1. Lack of Central Standardization: Ancient India had diverse local measurement practices.
  2. Evolution Over Time: The definition likely changed over centuries.
  3. Variable Base Units: The smaller units (like krosa or hasta) used to define it were also not universally fixed.
  4. Contextual Differences: The term might have been used differently for road distances, land surveys, or cosmological scales.
  5. Figurative Use: In some literary or religious contexts, the term might have been used symbolically or hyperbolically rather than as a precise measurement.

How does the Yojana relate to other ancient Indian units?

The Yojana was typically the largest unit in a hierarchical system. A common (though not universal) relationship described in texts like the Arthashastra is:

  • 1 Yojana = 4 Krosas (or Gorutas)
  • 1 Krosa = 1,000 (or sometimes 2,000) Dhanus (bows)
  • 1 Dhanus = 4 Hastas (cubits)
  • 1 Hasta = 24 Angulas (finger widths)

The uncertainty in the base units (hasta, angula) contributes to the uncertainty in the Yojana.

Is the Yojana still used today?

No, the Yojana is an obsolete unit of measurement. It has not been used for practical purposes for centuries and has been entirely replaced by the metric system (kilometers, meters) in India and other relevant regions. Its relevance is purely historical, literary, and cultural.

Is the Yojana an SI unit?

No, the Yojana is not an SI unit. It is an ancient, traditional unit of distance from the Indian subcontinent. The SI base unit for length is the meter (m).

Conversion Table: Stadion to Yojana

Stadion (stadion)Yojana (yojana)
10.014
50.069
100.137
250.343
500.685
1001.37
5006.852
1,00013.704

All Length Conversions

Meter to KilometerMeter to HectometerMeter to DecimeterMeter to CentimeterMeter to MillimeterMeter to InchMeter to FootMeter to YardMeter to MileMeter to Nautical MileMeter to MicrometerMeter to NanometerMeter to Light YearMeter to Astronomical UnitMeter to ParsecMeter to AngstromMeter to Point (Typography)Meter to Mil/ThouMeter to FathomMeter to FurlongMeter to Link (Gunter's)Meter to PaceMeter to SpanMeter to DigitMeter to Cable LengthMeter to EllMeter to FingerMeter to Roman MileMeter to StadionMeter to Chi (Chinese)Meter to Shaku (Japanese)Meter to Li (Chinese)Meter to ToiseMeter to BoltMeter to RopeMeter to SmootMeter to SajeneMeter to KenMeter to WaMeter to VaraMeter to AlnMeter to Cubit (Royal/Egyptian)Meter to VerstaMeter to ArpentMeter to Ri (Japanese)Meter to KlafterMeter to YojanaMeter to SkeinKilometer to MeterKilometer to HectometerKilometer to DecimeterKilometer to CentimeterKilometer to MillimeterKilometer to InchKilometer to FootKilometer to YardKilometer to MileKilometer to Nautical MileKilometer to MicrometerKilometer to NanometerKilometer to Light YearKilometer to Astronomical UnitKilometer to ParsecKilometer to AngstromKilometer to Point (Typography)Kilometer to Mil/ThouKilometer to FathomKilometer to FurlongKilometer to Link (Gunter's)Kilometer to PaceKilometer to SpanKilometer to DigitKilometer to Cable LengthKilometer to EllKilometer to FingerKilometer to Roman MileKilometer to StadionKilometer to Chi (Chinese)Kilometer to Shaku (Japanese)Kilometer to Li (Chinese)Kilometer to ToiseKilometer to BoltKilometer to RopeKilometer to SmootKilometer to SajeneKilometer to KenKilometer to WaKilometer to VaraKilometer to AlnKilometer to Cubit (Royal/Egyptian)Kilometer to VerstaKilometer to ArpentKilometer to Ri (Japanese)Kilometer to KlafterKilometer to YojanaKilometer to SkeinHectometer to MeterHectometer to KilometerHectometer to DecimeterHectometer to CentimeterHectometer to MillimeterHectometer to InchHectometer to FootHectometer to YardHectometer to MileHectometer to Nautical MileHectometer to MicrometerHectometer to NanometerHectometer to Light YearHectometer to Astronomical UnitHectometer to ParsecHectometer to AngstromHectometer to Point (Typography)Hectometer to Mil/ThouHectometer to FathomHectometer to FurlongHectometer to Link (Gunter's)Hectometer to PaceHectometer to SpanHectometer to Digit