Yojana to Centimeter Converter

Convert yojanas to centimeters with our free online length converter.

Quick Answer

1 Yojana = 1350000 centimeters

Formula: Yojana × conversion factor = Centimeter

Use the calculator below for instant, accurate conversions.

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All conversion formulas on UnitsConverter.io have been verified against NIST (National Institute of Standards and Technology) guidelines and international SI standards. Our calculations are accurate to 10 decimal places for standard conversions and use arbitrary precision arithmetic for astronomical units.

Last verified: February 2026Reviewed by: Sam Mathew, Software Engineer

Yojana to Centimeter Calculator

How to Use the Yojana to Centimeter Calculator:

  1. Enter the value you want to convert in the 'From' field (Yojana).
  2. The converted value in Centimeter 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.
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How to Convert Yojana to Centimeter: Step-by-Step Guide

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

Formula:

1 Yojana = 1.3500e+6 centimeters

Example Calculation:

Convert 10 yojanas: 10 × 1.3500e+6 = 1.3500e+7 centimeters

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 Centimeter?

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 centimeter (symbol: cm) is a unit of length equal to exactly one-hundredth of a meter (1/100 m or 0.01 m). It's also equal to exactly 10 millimeters.

The centimeter is part of the International System of Units (SI) and uses the metric prefix "centi-" meaning one-hundredth (from Latin centum, "hundred").

Mathematical Relationships

1 centimeter equals:

  • 10 millimeters (mm)
  • 0.01 meters (m)
  • 0.00001 kilometers (km)
  • 0.393701 inches (in)
  • 0.0328084 feet (ft)

Key conversion:

  • 1 inch = 2.54 cm exactly (this is the official international definition established in 1959)

Why Centimeters?

While the meter is the official SI base unit for length, centimeters are more practical for everyday measurements:

Too small for meters, too large for millimeters: A person who is 1.75 meters tall is more commonly described as 175 centimeters in metric countries. Writing "1.75 m" requires decimals; "175 cm" uses whole numbers.

Human-scale convenience: Most objects people interact with daily—clothing, screens, body measurements, food items—fall naturally into the 1-100 cm range.

Avoids decimal confusion: "15.2 cm" is clearer than "0.152 m" for most people.

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

History of the Yojana and Centimeter

  • 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.

French Revolution and the Birth of the Metric System

1790s: Revolutionary Innovation: The centimeter was born from the French Revolution's ambition to create a rational, universal measurement system based on nature and decimal mathematics.

The Meter Foundation: In 1791, the French Academy of Sciences defined the meter as one ten-millionth (1/10,000,000) of the distance from the equator to the North Pole along the meridian passing through Paris. The centimeter automatically followed as 1/100 of this meter.

Latin Roots: The prefix "centi-" derives from the Latin centum (hundred), making "centimeter" literally "hundredth of a meter."

1795 Official Adoption: France officially adopted the metric system on April 7, 1795, including the centimeter as a standard subdivision of the meter.

CGS System: The Centimeter's Scientific Era

1874: The Centimeter-Gram-Second System: British scientists James Clerk Maxwell and William Thomson (Lord Kelvin) promoted the CGS system, which used:

  • Centimeter for length (instead of meter)
  • Gram for mass (instead of kilogram)
  • Second for time

Scientific Dominance: The CGS system became the preferred standard for physics and chemistry throughout the late 19th and early 20th centuries. Many scientific formulas and units were developed using centimeters.

Legacy Units: Several units still reflect the CGS heritage:

  • Poise (viscosity): measured in gram/(centimeter·second)
  • Erg (energy): gram·centimeter²/second²
  • Gauss (magnetic field): CGS unit for magnetic flux density

Transition to SI and the Modern Era

1960: The SI System: The International System of Units (SI) was officially established, promoting the meter-kilogram-second (MKS) system instead of CGS.

Centimeter's Continued Relevance: Despite the official SI preference for meters, centimeters remained dominant for everyday measurements because:

  • They're more practical for human-scale objects
  • They avoid decimals for most common measurements
  • They're familiar and intuitive

Global Adoption: Today, 195 of 198 countries use the metric system, with centimeters as the standard for body height, clothing, and everyday measurements. Only the United States, Myanmar, and Liberia officially use non-metric systems.

Common Uses and Applications: yojanas vs centimeters

Explore the typical applications for both Yojana (imperial/US) and Centimeter (metric) 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.

When to Use centimeters

Medical and Healthcare

Growth Charts: Children's height is tracked in centimeters from birth:

  • Pediatricians plot growth on percentile charts
  • Birth length recorded in cm (typically 45-55 cm)
  • Annual height measurements track development

Medical Measurements:

  • Wound size: "3 cm laceration"
  • Tumor diameter: measured in cm for staging
  • Organ size: "enlarged liver extending 4 cm below rib cage"
  • Dilation during childbirth: measured in cm (0-10 cm)

Medical Equipment:

  • Blood pressure cuff width: 12-13 cm for adults
  • Surgical incision length: documented in cm
  • Catheter diameter: measured in mm, length in cm

Education and School Supplies

Rulers and Measuring Tools: Most rulers worldwide show centimeters:

  • Standard ruler: 15 cm or 30 cm length
  • Meter stick: 100 cm with cm markings
  • Tape measures: marked in cm (and meters)

Paper Sizes (International ISO 216 Standard):

  • A4 paper: 21 × 29.7 cm (most common worldwide)
  • A5 paper: 14.8 × 21 cm (half of A4)
  • A3 paper: 29.7 × 42 cm (double A4)
  • Letter size (US): 21.6 × 27.9 cm (8.5 × 11 inches)

School Supplies:

  • Pencil length: 19 cm (new)
  • Notebook width: 15-21 cm
  • Eraser length: 4-6 cm

Construction and Home Improvement

Tile Sizes: Floor and wall tiles measured in cm:

  • Small tiles: 10×10 cm
  • Medium tiles: 30×30 cm
  • Large format tiles: 60×60 cm or 80×80 cm
  • Subway tiles: 7.5×15 cm

Furniture Dimensions:

  • Coffee table height: 40-50 cm
  • Dining table height: 75 cm (standard)
  • Chair seat height: 45-50 cm
  • Sofa seat depth: 50-60 cm

Door Measurements:

  • Standard interior door width: 80-90 cm
  • Standard door height: 200-210 cm
  • Door thickness: 3.5-4.5 cm

Art, Design, and Photography

Photo Print Sizes:

  • 10×15 cm (4×6 inches) - standard print
  • 13×18 cm (5×7 inches)
  • 20×25 cm (8×10 inches)
  • 30×40 cm (12×16 inches)

Canvas and Frame Sizes: Art supply stores sell in metric:

  • Small canvas: 20×25 cm
  • Medium canvas: 30×40 cm
  • Large canvas: 50×70 cm

Drawing and Design:

  • Technical drawings: dimensioned in cm or mm
  • Graph paper: 0.5 cm or 1 cm grids
  • Architectural scales: often use 1:50 or 1:100 (cm-based)

Sports and Recreation

Swimming Pool Depth: Measured in cm or meters:

  • Shallow end: 90-120 cm
  • Deep end: 180-300 cm
  • Competition pool depth: minimum 200 cm

Bicycle Frame Sizes: Road bikes measured in cm:

  • Small frame: 48-52 cm
  • Medium frame: 54-56 cm
  • Large frame: 58-62 cm

Sports Equipment:

  • Tennis ball diameter: 6.5-6.7 cm
  • Golf ball diameter: 4.3 cm
  • Basketball diameter: 24 cm

Additional Unit Information

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: Yojana to Centimeter

Yojana (yojana)Centimeter (cm)
0.5675,000
11,350,000
1.52,025,000
22,700,000
56,750,000
1013,500,000
2533,750,000
5067,500,000
100135,000,000
250337,500,000
500675,000,000
1,0001,350,000,000

People Also Ask

How do I convert Yojana to Centimeter?

To convert Yojana to Centimeter, enter the value in Yojana in the calculator above. The conversion will happen automatically. Use our free online converter for instant and accurate results. You can also visit our length converter page to convert between other units in this category.

Learn more →

What is the conversion factor from Yojana to Centimeter?

The conversion factor depends on the specific relationship between Yojana and Centimeter. You can find the exact conversion formula and factor on this page. Our calculator handles all calculations automatically. See the conversion table above for common values.

Can I convert Centimeter back to Yojana?

Yes! You can easily convert Centimeter back to Yojana by using the swap button (⇌) in the calculator above, or by visiting our Centimeter to Yojana converter page. You can also explore other length conversions on our category page.

Learn more →

What are common uses for Yojana and Centimeter?

Yojana and Centimeter are both standard units used in length measurements. They are commonly used in various applications including engineering, construction, cooking, and scientific research. Browse our length converter for more conversion options.

For more length conversion questions, visit our FAQ page or explore our conversion guides.

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Verified Against Authority Standards

All conversion formulas have been verified against international standards and authoritative sources to ensure maximum accuracy and reliability.

NIST Guide for the Use of SI

National Institute of Standards and TechnologyOfficial US standards for length measurements

SI Brochure

Bureau International des Poids et MesuresInternational System of Units official documentation

Last verified: February 19, 2026