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  3. /Ophthalmology - Eye Health Calculators
  4. /Visual Acuity Converter (Snellen to LogMAR)

Visual Acuity Converter (Snellen to LogMAR)

Calculator

Results

LogMAR

0.3

Decimal Acuity

0.5

MAR (Minutes of Arc)

2

'

Snellen Metric Equivalent

12

Visual Efficiency

70

%

Results

LogMAR

0.3

Decimal Acuity

0.5

MAR (Minutes of Arc)

2

'

Snellen Metric Equivalent

12

Visual Efficiency

70

%

The Visual Acuity Converter translates between the major visual acuity notation systems: Snellen (20/xx), LogMAR (logarithm of the Minimum Angle of Resolution), decimal acuity, and metric Snellen (6/xx). These different notation systems are used worldwide and in different clinical and research contexts.

Visual acuity is the most commonly performed measurement in ophthalmology and optometry, representing the spatial resolving ability of the visual system. It is typically measured at a standard distance (20 feet or 6 meters) using letter charts where each line represents progressively smaller optotype sizes. Normal visual acuity is considered 20/20 (6/6, LogMAR 0.0, decimal 1.0).

The Snellen notation (20/xx) is the most familiar system in the United States. The numerator represents the test distance (20 feet), and the denominator represents the distance at which a normal eye could read that line. Thus, 20/40 means the patient can only read at 20 feet what a normal eye reads at 40 feet — half normal acuity.

LogMAR (log of Minimum Angle of Resolution) is the preferred notation for research and clinical trials because it provides an interval scale suitable for statistical analysis. Normal acuity (20/20) is LogMAR 0.0, legally blind (20/200) is LogMAR 1.0, and better-than-normal acuity (20/10) is LogMAR -0.3. Each 0.1 LogMAR step represents one line on an ETDRS chart.

Decimal acuity is widely used in Europe and Asia. It is simply the Snellen fraction expressed as a decimal: 20/20 = 1.0, 20/40 = 0.5, 20/200 = 0.1. While intuitive, it is not an interval scale, which limits its use in statistical analysis.

The metric Snellen notation (6/xx) is used in countries that use meters rather than feet. The test distance is 6 meters instead of 20 feet: 6/6 = 20/20, 6/12 = 20/40, 6/60 = 20/200. The conversion factor is approximately 6/20 = 0.3.

Understanding these conversions is essential for interpreting clinical records from different countries, comparing research studies, and communicating visual acuity in standardized formats.

Visual Analysis

How It Works

The converter uses the following mathematical relationships:

  • LogMAR = log₁₀(Snellen Denominator ÷ Snellen Numerator)
  • Decimal Acuity = Snellen Numerator ÷ Snellen Denominator
  • MAR (Minutes of Arc) = Snellen Denominator ÷ Snellen Numerator
  • Snellen Metric = Denominator × 6 ÷ 20 (converting feet to meters)
  • Visual Efficiency is estimated from the LogMAR value using the AMA formula

Understanding Your Results

LogMAR 0.0 is normal acuity (20/20). Positive values indicate worse acuity; negative values indicate better than normal. Decimal Acuity of 1.0 is normal; values below 0.5 (20/40) may impair daily activities. MAR shows the minimum angle resolved in arc minutes (1.0 is normal). Visual Efficiency is an estimate used in disability assessments. Key thresholds: 20/40 is the driving standard in most US states, 20/200 is the legal blindness threshold.

Worked Examples

Moderate Vision Loss (20/40)

Inputs

snellen numerator20
snellen denominator40
test distance20

Results

logmar0.3
decimal acuity0.5
mar arcmin2
snellen metric12
visual efficiency70

20/40 = LogMAR 0.30 = Decimal 0.5 = Metric 6/12. This is the minimum for an unrestricted driving license in most US states.

Legal Blindness Threshold (20/200)

Inputs

snellen numerator20
snellen denominator200
test distance20

Results

logmar1
decimal acuity0.1
mar arcmin10
snellen metric60
visual efficiency0

20/200 = LogMAR 1.0 = Decimal 0.1 = Metric 6/60. This is the legal blindness threshold in the US.

Frequently Asked Questions

20/20 means you can see at 20 feet what a person with normal vision sees at 20 feet. It is the 'normal' benchmark, not perfect vision. Many people, especially young adults, can see 20/15 or even 20/10. 20/20 equals LogMAR 0.0 and decimal acuity 1.0.

LogMAR is the logarithm (base 10) of the Minimum Angle of Resolution. At 20/20, the minimum resolved angle is 1 arcminute, so log(1) = 0. At 20/200, the angle is 10 arcminutes, so log(10) = 1.0. LogMAR provides an equal-interval scale ideal for research.

Snellen fractions are on a ratio scale where the steps between lines are unequal (20/20 to 20/25 is small, 20/100 to 20/200 is large). LogMAR provides equal intervals between lines, enabling proper statistical analysis (mean, standard deviation, t-tests).

In the US, legal blindness is defined as best-corrected visual acuity of 20/200 or worse in the better eye, or a visual field of 20 degrees or less. This equals LogMAR 1.0, decimal 0.1, or metric 6/60. About 1 million Americans meet this definition.

In most US states, the minimum for an unrestricted license is 20/40 (LogMAR 0.3). Some states allow 20/50 or 20/60 with restrictions. Commercial driving licenses typically require 20/40. Requirements vary by country and jurisdiction.

The ETDRS (Early Treatment Diabetic Retinopathy Study) chart is the gold standard for visual acuity testing. It uses a LogMAR design with 5 letters per line, equal spacing between lines (0.1 LogMAR per line), and standardized letter difficulty. It provides more accurate and reproducible measurements than Snellen charts.

Metric Snellen uses 6 meters instead of 20 feet as the test distance. The conversion is: metric denominator = Snellen denominator × 6/20. So 20/20 = 6/6, 20/40 = 6/12, 20/200 = 6/60. This system is used in most countries outside North America.

Decimal acuity is simply the Snellen fraction expressed as a decimal: 20/20 = 1.0, 20/40 = 0.5, 20/100 = 0.2. It is widely used in Europe and Asia. While intuitive, it is not an equal-interval scale, which is a limitation for statistical analysis.

Yes. Many young adults can see 20/15 or 20/10 (LogMAR -0.18 and -0.30, respectively). This 'super-normal' acuity is common in healthy eyes and may be particularly relevant for athletes, pilots, and military personnel.

Young children who cannot read letters are tested with picture optotypes (LEA symbols, Allen figures), tumbling E charts (indicating the direction the E faces), or preferential looking tests for infants. The Teller Acuity Cards use a preference for striped patterns over uniform gray to estimate infant acuity.

Sources & Methodology

Bailey IL & Lovie-Kitchin JE — Visual Acuity Testing, Ophthalmic and Physiological Optics 2013; Ferris FL et al. — ETDRS Visual Acuity Methodology; International Council of Ophthalmology Visual Acuity Standards
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