How to Calculate the Fetal Weight

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How to Calculate the Fetal Weight

Professional Estimated Fetal Weight (EFW) Calculator & Guide

Fetal Weight Calculator (Hadlock Formula)
Enter current pregnancy week (20-42).
Please enter a valid week between 20 and 42.
Measurement across the head (typically 20-105mm).
Please enter a valid BPD value.
Measurement around the head (typically 70-360mm).
Please enter a valid HC value.
Measurement around the abdomen (typically 60-400mm).
Please enter a valid AC value.
Length of the thigh bone (typically 10-85mm).
Please enter a valid FL value.
Estimated Fetal Weight (EFW)
1950 g
Weight in Lbs/Oz
4 lbs 5 oz
Approx. Percentile
50th
Growth Status
Average for GA
Formula Used: Hadlock IV (Log10) using HC, AC, FL, and BPD. This is the standard medical formula for estimating fetal weight in the 2nd and 3rd trimesters.

Weight Percentiles for 32 Weeks

Percentile Weight (grams) Weight (lbs/oz)
Table 1: Expected weight ranges for the selected gestational age.

Fetal Growth Curve

Figure 1: Your calculated EFW plotted against the 50th percentile average growth curve.

What is How to Calculate the Fetal Weight?

Understanding how to calculate the fetal weight is a critical component of prenatal care. Estimated Fetal Weight (EFW) is a calculation derived from ultrasound measurements that helps obstetricians and midwives assess whether a baby is growing at a healthy rate inside the womb. Unlike weighing a baby on a scale after birth, fetal weight cannot be measured directly; it must be mathematically estimated using biometric data.

This calculation is primarily used to screen for fetal growth restriction (FGR), where a baby is smaller than expected, or macrosomia, where a baby is significantly larger than average. Knowing how to calculate the fetal weight allows healthcare providers to make informed decisions regarding delivery timing and method.

Common misconceptions include the belief that belly size correlates perfectly with fetal weight. In reality, maternal factors like fluid volume and abdominal muscle tone can obscure the true size of the fetus, making ultrasound calculations the gold standard for estimation.

Fetal Weight Formula and Mathematical Explanation

The most widely accepted method for how to calculate the fetal weight is the Hadlock formula. While there are several variations (Hadlock I, II, III, IV), the four-parameter formula (Hadlock IV) is considered one of the most accurate as it accounts for head shape, abdominal girth, and bone length.

The Hadlock IV Formula

The mathematical equation uses a logarithmic scale to predict weight based on four inputs converted to centimeters:

Log10(Weight) = 1.3596 + 0.0064(HC) + 0.0424(AC) + 0.174(FL) + 0.00061(BPD × AC) – 0.00386(AC × FL)

After calculating the log value, the result is raised to the power of 10 to get the weight in grams.

Variables Table

Variable Meaning Unit Typical Range (3rd Trimester)
BPD Biparietal Diameter (Head Width) cm 7.0 – 10.0 cm
HC Head Circumference cm 25.0 – 35.0 cm
AC Abdominal Circumference cm 23.0 – 36.0 cm
FL Femur Length (Thigh Bone) cm 5.0 – 8.0 cm
Table 2: Key biometric variables used in fetal weight estimation.

Practical Examples (Real-World Use Cases)

Example 1: The 32-Week Checkup

Consider a fetus at 32 weeks gestation. The sonographer measures the following:

  • BPD: 81 mm (8.1 cm)
  • HC: 295 mm (29.5 cm)
  • AC: 280 mm (28.0 cm)
  • FL: 62 mm (6.2 cm)

Calculation: Using the calculator above, these inputs yield an estimated weight of approximately 1,950 grams (4 lbs 5 oz). This places the fetus near the 50th percentile, indicating perfectly average growth.

Example 2: Screening for Macrosomia

At 38 weeks, a patient with gestational diabetes undergoes a scan. The measurements are:

  • BPD: 96 mm
  • HC: 340 mm
  • AC: 360 mm (Larger than average)
  • FL: 74 mm

Result: The calculator estimates the weight at roughly 3,600 grams (7 lbs 15 oz). While this is a healthy weight, the large Abdominal Circumference (AC) relative to the head suggests the baby is absorbing excess sugar, a key marker for macrosomia managed by diet or insulin.

How to Use This Fetal Weight Calculator

Learning how to calculate the fetal weight with this tool is straightforward. Follow these steps for the most accurate estimation:

  1. Enter Gestational Age: Input the current week of pregnancy (between 20 and 42). This determines the percentile ranking.
  2. Input Biometrics: Enter the BPD, HC, AC, and FL values from your ultrasound report. Ensure you enter them in millimeters (mm), which is the standard unit on most ultrasound machines.
  3. Review Results: The calculator instantly updates the Estimated Fetal Weight in grams and pounds.
  4. Analyze the Chart: Look at the "Fetal Growth Curve" to see where your result sits compared to the average line. If the point is significantly above or below the line, consult your healthcare provider.

Key Factors That Affect Fetal Weight Results

When learning how to calculate the fetal weight, it is essential to understand the biological and environmental factors that influence the final number.

1. Genetic Potential

Just as parents vary in height and weight, so do fetuses. Tall, heavier parents are statistically more likely to have larger babies. This is not a pathology but a genetic variance.

2. Placental Health

The placenta is the "bank" from which the fetus draws resources. If the placenta is not functioning optimally (placental insufficiency), the fetus may not receive adequate nutrients, leading to a lower calculated weight (IUGR).

3. Maternal Nutrition and Health

Maternal diet plays a huge role. Severe caloric restriction can reduce fetal weight, while excessive intake, particularly of simple sugars, can increase it. Conditions like anemia can also restrict growth.

4. Gestational Diabetes

Uncontrolled blood sugar in the mother crosses the placenta, triggering the fetus to produce more insulin. Insulin acts as a growth hormone, often leading to excessive growth, particularly in the abdominal area (high AC).

5. Fetal Gender

On average, male fetuses tend to be slightly heavier than female fetuses at the same gestational age. Most general calculators use a unisex average, but slight variations exist.

6. Measurement Error

The accuracy of how to calculate the fetal weight depends heavily on the skill of the sonographer. A slight angle change in measuring the abdomen (AC) can alter the weight estimate by 10-15%. This is why EFW is considered an estimate with a margin of error of +/- 15%.

Frequently Asked Questions (FAQ)

How accurate is the ultrasound weight estimate?

Ultrasound weight estimates generally have a margin of error of about 10% to 15%. This means a baby estimated to be 3,000g could actually weigh anywhere between 2,550g and 3,450g.

Why is the Abdominal Circumference (AC) so important?

The AC is the most variable parameter and the most sensitive indicator of fetal nutrition. It reflects the size of the liver and subcutaneous fat, which are the first to change if the baby is getting too much or too little energy.

Can I calculate fetal weight without an ultrasound?

Clinical palpation (feeling the belly) and fundal height measurements can give a rough idea, but they are far less accurate than learning how to calculate the fetal weight using ultrasound biometrics.

What is considered a low fetal weight?

A weight below the 10th percentile for the gestational age is typically classified as "Small for Gestational Age" (SGA) or Fetal Growth Restriction (FGR), requiring closer monitoring.

What is considered a high fetal weight?

A weight above the 90th percentile is considered "Large for Gestational Age" (LGA). If the weight exceeds 4,000g or 4,500g at term, it is termed macrosomia.

Does the calculator work for twins?

While the formula can be applied to twins, twin growth patterns often slow down in the third trimester compared to singletons. Specific twin growth charts should be consulted.

How often should fetal weight be calculated?

Ultrasound scans for growth are typically spaced at least 2 to 3 weeks apart. Measuring too frequently can lead to errors because the interval is too short to detect significant growth trends.

Does a big baby mean I need a C-section?

Not necessarily. While high fetal weight is a factor, doctors also consider pelvic size, the baby's position, and maternal history before recommending a Cesarean section.

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Disclaimer: This calculator is for educational purposes only and does not replace professional medical advice.

// Global variables for chart instance var chartCanvas = document.getElementById('growthChart'); var ctx = chartCanvas.getContext('2d'); // Standard Hadlock 50th percentile weights (approximate for visualization) // Weeks 20 to 42 var standardWeights = [ 300, 360, 430, 501, 600, 660, 760, 875, 1005, 1153, 1319, 1502, 1702, 1918, 2146, 2383, 2622, 2859, 3089, 3305, 3500, 3685, 3800 ]; var weeksLabels = []; for (var i = 20; i <= 42; i++) { weeksLabels.push(i); } function init() { calculateFetalWeight(); } function calculateFetalWeight() { // Get inputs var ga = parseFloat(document.getElementById('gestationalAge').value); var bpd = parseFloat(document.getElementById('bpd').value); var hc = parseFloat(document.getElementById('hc').value); var ac = parseFloat(document.getElementById('ac').value); var fl = parseFloat(document.getElementById('fl').value); // Validation var isValid = true; if (isNaN(ga) || ga 42) { document.getElementById('err-ga').style.display = 'block'; isValid = false; } else { document.getElementById('err-ga').style.display = 'none'; } if (isNaN(bpd) || bpd < 0) { document.getElementById('err-bpd').style.display = 'block'; isValid = false; } else { document.getElementById('err-bpd').style.display = 'none'; } if (isNaN(hc) || hc < 0) { document.getElementById('err-hc').style.display = 'block'; isValid = false; } else { document.getElementById('err-hc').style.display = 'none'; } if (isNaN(ac) || ac < 0) { document.getElementById('err-ac').style.display = 'block'; isValid = false; } else { document.getElementById('err-ac').style.display = 'none'; } if (isNaN(fl) || fl < 0) { document.getElementById('err-fl').style.display = 'block'; isValid = false; } else { document.getElementById('err-fl').style.display = 'none'; } if (!isValid) return; // Convert mm to cm for formula var bpd_cm = bpd / 10; var hc_cm = hc / 10; var ac_cm = ac / 10; var fl_cm = fl / 10; // Hadlock IV Formula // Log10(BW) = 1.3596 + 0.0064(HC) + 0.0424(AC) + 0.174(FL) + 0.00061(BPD*AC) – 0.00386(AC*FL) var logWeight = 1.3596 + (0.0064 * hc_cm) + (0.0424 * ac_cm) + (0.174 * fl_cm) + (0.00061 * bpd_cm * ac_cm) – (0.00386 * ac_cm * fl_cm); var weightGrams = Math.pow(10, logWeight); // Update UI document.getElementById('result-grams').innerText = Math.round(weightGrams) + " g"; // Convert to lbs/oz var totalOunces = weightGrams * 0.035274; var lbs = Math.floor(totalOunces / 16); var oz = Math.round(totalOunces % 16); document.getElementById('result-lbs').innerText = lbs + " lbs " + oz + " oz"; // Calculate Percentile (Approximate based on normal distribution for GA) // Get 50th percentile for this GA from our array var index = ga – 20; var meanWeight = standardWeights[index]; // Assume 12% SD var sd = meanWeight * 0.12; var zScore = (weightGrams – meanWeight) / sd; // Simple Z to Percentile approximation var percentile = GetZPercentile(zScore); document.getElementById('result-percentile').innerText = Math.round(percentile) + getOrdinal(Math.round(percentile)); // Status var statusElem = document.getElementById('result-status'); if (percentile 90) { statusElem.innerText = "Large for GA"; statusElem.style.color = "#dc3545"; } else { statusElem.innerText = "Average for GA"; statusElem.style.color = "#28a745"; } updateTable(ga, meanWeight, sd); drawChart(ga, weightGrams); } function GetZPercentile(z) { // Approximation of cumulative normal distribution if (z 6.5) return 100; var factK = 1; var sum = 0; var term = 1; var k = 0; var loopStop = Math.exp(-23); while(Math.abs(term) > loopStop) { term = .3989422804 * Math.pow(-1,k) * Math.pow(z, 2*k+1) / (2*k+1) / Math.pow(2,k) / factK; sum += term; k++; factK *= k; } sum += 0.5; return sum * 100; } function getOrdinal(n) { var s = ["th", "st", "nd", "rd"]; var v = n % 100; return s[(v – 20) % 10] || s[v] || s[0]; } function updateTable(ga, mean, sd) { document.getElementById('table-week').innerText = ga; var tbody = document.getElementById('percentile-table-body'); tbody.innerHTML = ""; var percentiles = [10, 50, 90]; var zScores = [-1.28, 0, 1.28]; for (var i = 0; i < percentiles.length; i++) { var w = mean + (zScores[i] * sd); var totalOz = w * 0.035274; var lbs = Math.floor(totalOz / 16); var oz = Math.round(totalOz % 16); var row = ""; row += "" + percentiles[i] + "th"; row += "" + Math.round(w) + " g"; row += "" + lbs + " lbs " + oz + " oz"; row += ""; tbody.innerHTML += row; } } function drawChart(currentWeek, currentWeight) { // Clear canvas ctx.clearRect(0, 0, chartCanvas.width, chartCanvas.height); // Set dimensions var width = chartCanvas.width; var height = chartCanvas.height; var padding = 40; var chartW = width – (padding * 2); var chartH = height – (padding * 2); // Scales var maxWeight = 4500; // Max Y var minWeek = 20; var maxWeek = 42; // Helper to map X and Y function getX(week) { return padding + ((week – minWeek) / (maxWeek – minWeek)) * chartW; } function getY(weight) { return height – padding – ((weight / maxWeight) * chartH); } // Draw Axes ctx.beginPath(); ctx.strokeStyle = "#ccc"; ctx.moveTo(padding, padding); ctx.lineTo(padding, height – padding); // Y axis ctx.lineTo(width – padding, height – padding); // X axis ctx.stroke(); // Draw Average Curve ctx.beginPath(); ctx.strokeStyle = "#004a99"; ctx.lineWidth = 2; for (var i = 0; i < standardWeights.length; i++) { var w = standardWeights[i]; var wk = weeksLabels[i]; var x = getX(wk); var y = getY(w); if (i === 0) ctx.moveTo(x, y); else ctx.lineTo(x, y); } ctx.stroke(); // Draw User Point var userX = getX(currentWeek); var userY = getY(currentWeight); ctx.beginPath(); ctx.fillStyle = "#28a745"; ctx.arc(userX, userY, 6, 0, 2 * Math.PI); ctx.fill(); // Labels ctx.fillStyle = "#333"; ctx.font = "10px Arial"; ctx.fillText("20w", padding, height – padding + 15); ctx.fillText("42w", width – padding – 10, height – padding + 15); ctx.fillText("4500g", 5, padding); ctx.fillText("0g", 15, height – padding); // Legend ctx.fillStyle = "#004a99"; ctx.fillText("— Avg Growth", width – 100, 30); ctx.fillStyle = "#28a745"; ctx.fillText("● You", width – 100, 45); } function resetCalculator() { document.getElementById('gestationalAge').value = 32; document.getElementById('bpd').value = 81; document.getElementById('hc').value = 295; document.getElementById('ac').value = 280; document.getElementById('fl').value = 62; calculateFetalWeight(); } function copyResults() { var weight = document.getElementById('result-grams').innerText; var lbs = document.getElementById('result-lbs').innerText; var percentile = document.getElementById('result-percentile').innerText; var ga = document.getElementById('gestationalAge').value; var text = "Fetal Weight Calculation:\n"; text += "Gestational Age: " + ga + " weeks\n"; text += "Estimated Weight: " + weight + " (" + lbs + ")\n"; text += "Percentile: " + percentile + "\n"; text += "Formula: Hadlock IV"; var tempInput = document.createElement("textarea"); tempInput.value = text; document.body.appendChild(tempInput); tempInput.select(); document.execCommand("copy"); document.body.removeChild(tempInput); var btn = document.querySelector('.btn-copy'); var originalText = btn.innerText; btn.innerText = "Copied!"; setTimeout(function(){ btn.innerText = originalText; }, 2000); } // Initialize on load window.onload = init;

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