Yojana to Wa Conversion Calculator: Free Online Tool

Convert yojanas to wa with our free online length converter.

Yojana to Wa Calculator

Yojana
Wa

How to Use the Calculator:

  1. Enter the value you want to convert in the 'From' field (Yojana).
  2. The converted value in Wa 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 Yojana to Wa

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

Formula:

1 Yojana = 6750 wa

Example Calculation:

Convert 10 yojanas: 10 × 6750 = 6.7500e+4 wa

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 Yojana and a Wa?

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.

The Wa (วา) is a traditional Thai unit of length. It is legally defined in relation to the metric system as exactly 2 meters.

The Wa serves as a fundamental unit within the traditional Thai system of measurement, particularly for land area. It is roughly equivalent to the distance between a person's outstretched fingertips when their arms are extended horizontally to the sides (similar to a fathom).

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

History of the Yojana and Wa

  • 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.

The Wa has been used in Thailand (formerly Siam) for centuries, likely originating from anthropomorphic measurements like the arm span. It was a practical unit for everyday measurements, construction, and land surveying.

  • Traditional System: The Wa was part of a system that included smaller units like the khuep (span, ~25 cm), sok (cubit, ~50 cm, 1 Wa = 4 Sok), and larger units like the sen (rope, 1 Sen = 20 Wa).
  • Standardization: During the modernization reforms under King Chulalongkorn (Rama V) in the late 19th and early 20th centuries, Thailand began standardizing its weights and measures. The Weights and Measures Act of 1923 formally defined traditional units in terms of the metric system. The Wa was officially set at exactly 2 meters.
  • Metrication: While Thailand officially adopted the metric system as its primary standard, traditional units like the Wa remain legally defined and widely used, especially in specific contexts like land measurement.

Common Uses for yojanas and wa

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

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.

Common Uses for wa

The Wa's most significant modern use is in land measurement, but it historically had broader applications:

  • Land Area: This is the most common contemporary use. Land area in Thailand is almost exclusively measured in Tarang Wa (ตารางวา - Square Wa).
    • 1 Tarang Wa = 4 square meters (2m x 2m)
    • 1 Ngan (งาน) = 100 Tarang Wa (400 sq m)
    • 1 Rai (ไร่) = 4 Ngan = 400 Tarang Wa (1600 sq m) Property deeds, real estate listings, and land surveys invariably use Rai, Ngan, and Tarang Wa.
  • Length Measurement: While meters are now standard for most length measurements (textiles, construction materials), the Wa might still be used informally or in traditional contexts. Historically, it was used for measuring distances, building dimensions, rope lengths, etc.
  • Construction & Architecture: Traditionally used for laying out building plots and determining dimensions in Thai architecture.
  • Cultural Context: Understanding the Wa and its related area units is essential for navigating real estate, agriculture, and historical contexts in Thailand.

Frequently Asked Questions

Questions 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).

About Wa (wa)

How long is a Wa?

A Wa is defined as exactly:

  • 2 meters (m)
  • 200 centimeters (cm)
  • Approximately 6.5617 feet (ft)
  • Approximately 78.74 inches (in)

What are the related traditional Thai length units?

The Wa fits into a system, often based on factors of 2 and 10:

  • Smaller Units:
    • 1 Wa = 4 Sok (ศอก - cubit, ~50 cm)
    • 1 Sok = 2 Khuep (คืบ - span, ~25 cm)
    • 1 Khuep = 12 Nio (นิ้ว - finger breadth, ~2.08 cm, not the English inch)
  • Larger Unit:
    • 1 Sen (เส้น - rope/chain) = 20 Wa (40 meters)
    • 1 Yot (โยชน์ - league) = 400 Sen (16 kilometers)

How is the Wa used for area measurement?

The primary unit for land area is the Tarang Wa (Square Wa):

  • 1 Tarang Wa = 1 Wa × 1 Wa = 2 m × 2 m = 4 square meters Larger area units are based on the Tarang Wa:
  • 1 Ngan = 100 Tarang Wa (400 m²)
  • 1 Rai = 4 Ngan = 400 Tarang Wa (1600 m²)
  • (For reference, 1 Acre ≈ 2.53 Rai, 1 Hectare = 6.25 Rai)

Is the Wa an SI unit?

No, the Wa is not an SI unit. It is a traditional Thai unit, although its legal definition is based on the SI unit, the meter (m).

Is the Wa still used today?

Yes, absolutely. While the metric system is the official standard for science, commerce, and industry, the Wa (especially as Tarang Wa for area) remains the standard unit for land measurement in Thailand. It is legally recognized and used in all official land documents and real estate transactions. Its use for linear measurement is less common but may still occur informally or in traditional settings.

Conversion Table: Yojana to Wa

Yojana (yojana)Wa (wa)
16,750
533,750
1067,500
25168,750
50337,500
100675,000
5003,375,000
1,0006,750,000

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