Calculate Height and Weight from Bmi

Calculate Height and Weight from BMI | BMI Calculator :root { –primary-color: #004a99; –success-color: #28a745; –background-color: #f8f9fa; –text-color: #333; –border-color: #ddd; –card-background: #fff; –shadow: 0 2px 5px rgba(0,0,0,0.1); } body { font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif; background-color: var(–background-color); color: var(–text-color); line-height: 1.6; margin: 0; padding: 0; display: flex; flex-direction: column; align-items: center; min-height: 100vh; } .container { width: 100%; max-width: 960px; margin: 20px auto; padding: 20px; background-color: var(–card-background); border-radius: 8px; box-shadow: var(–shadow); display: flex; flex-direction: column; align-items: center; } header { width: 100%; text-align: center; margin-bottom: 30px; padding-bottom: 20px; border-bottom: 1px solid var(–border-color); } h1 { color: var(–primary-color); margin-bottom: 10px; } .subtitle { font-size: 1.1em; color: #555; } .loan-calc-container { width: 100%; background-color: var(–card-background); 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padding: 15px; } button { width: 100%; max-width: 200px; } .button-group { flex-direction: column; align-items: center; } #results .main-result { font-size: 2em; } #results .intermediate-values { flex-direction: column; gap: 10px; } }

Calculate Height and Weight from BMI

Determine your ideal weight range or calculate missing metrics using your BMI.

BMI Calculator: Find Missing Metric

Enter your Body Mass Index.
Kilograms (kg) Pounds (lbs) Enter your current weight.
Centimeters (cm) Meters (m) Inches (in) Feet & Inches (ft'in")
Enter your current height.

Results

Formula Used:

BMI is calculated as weight (kg) / height (m)^2. To find height from BMI and weight: Height (m) = sqrt(Weight (kg) / BMI). To find weight from BMI and height: Weight (kg) = BMI * Height (m)^2. Conversions are applied for different units.

BMI vs. Weight for a Fixed Height

Visualizing how weight changes with BMI for a constant height (1.75m).

BMI Weight Ranges

BMI Category BMI Range Weight Range (for 1.75m height)
Underweight < 18.5
Normal Weight 18.5 – 24.9
Overweight 25.0 – 29.9
Obese (Class I) 30.0 – 34.9
Obese (Class II) 35.0 – 39.9
Obese (Class III) ≥ 40.0

Weight ranges in kg for a standard height of 1.75 meters.

What is BMI?

Body Mass Index (BMI) is a simple numerical index derived from the mass (weight) and height of an individual. It's a widely used screening tool to categorize a person's weight status relative to their height. BMI is calculated using a formula that divides weight in kilograms by the square of height in meters (kg/m²). While it doesn't measure body fat directly, it correlates reasonably well with body fat percentage for most people. A high BMI can indicate high body fatness, while a low BMI can indicate low body fatness.

Who should use BMI calculations? Anyone interested in understanding their general weight category relative to their height can benefit. This includes individuals looking to manage their weight, athletes assessing their physique, healthcare providers screening patients, and people curious about their health status. It's particularly useful for tracking weight changes over time and understanding the implications of weight on health risks.

Common Misconceptions about BMI: One common misconception is that BMI is a definitive diagnostic tool for health. It doesn't account for muscle mass, bone density, or body composition. For example, a very muscular person might have a high BMI but be perfectly healthy. Conversely, someone with a "normal" BMI might still have a high percentage of body fat and be at risk. BMI is a screening tool, not a diagnostic one. Another misconception is that BMI is the sole determinant of health; overall lifestyle, diet, exercise, and genetics play crucial roles.

BMI Formula and Mathematical Explanation

The standard formula for calculating Body Mass Index (BMI) is:

BMI = Weight (kg) / Height (m)²

This calculator allows you to work backward, calculating either height or weight if you know the other two values (BMI and one of the physical measurements).

Deriving Height from BMI and Weight: If you know your BMI and your weight, you can calculate your height. 1. Rearrange the BMI formula: Weight (kg) = BMI * Height (m)² 2. Isolate Height (m)²: Height (m)² = Weight (kg) / BMI 3. Take the square root of both sides: Height (m) = √[Weight (kg) / BMI]

Deriving Weight from BMI and Height: If you know your BMI and your height, you can calculate your weight. 1. Use the standard BMI formula: BMI = Weight (kg) / Height (m)² 2. Isolate Weight (kg): Weight (kg) = BMI * Height (m)²

All calculations within this tool perform these derivations and then apply unit conversions as needed.

Variables Table

Variable Meaning Unit Typical Range
BMI Body Mass Index kg/m² 18.5 – 24.9 (Normal)
Weight Body Mass kg, lbs Varies widely
Height Body Height m, cm, in, ft'in" Varies widely

Practical Examples (Real-World Use Cases)

Example 1: Calculating Ideal Weight for a Given Height and BMI

Sarah is 1.65 meters tall (which is approximately 5 feet 5 inches) and wants to know what her weight should be to maintain a healthy BMI of 22.

  • Inputs:
  • BMI: 22
  • Height: 1.65 m

Calculation: Weight (kg) = BMI * Height (m)² Weight (kg) = 22 * (1.65)² Weight (kg) = 22 * 2.7225 Weight (kg) = 59.895 kg (approximately 60 kg)

Result: Sarah should aim for a weight of approximately 60 kg to have a BMI of 22 at her height. This falls within the healthy weight range.

Example 2: Calculating Height for a Given Weight and BMI

John weighs 90 kg and has a BMI of 28. He wants to know what his height would be if this BMI is accurate.

  • Inputs:
  • BMI: 28
  • Weight: 90 kg

Calculation: Height (m) = √[Weight (kg) / BMI] Height (m) = √[90 / 28] Height (m) = √3.214 Height (m) = 1.793 m (approximately 1.79 m)

Result: If John weighs 90 kg and has a BMI of 28, his height would be approximately 1.79 meters (about 5 feet 10.5 inches). This BMI places him in the overweight category.

How to Use This BMI Calculator

Our BMI calculator is designed for simplicity and accuracy, allowing you to find missing metrics related to your Body Mass Index. Follow these steps to get your results:

  1. Enter Your BMI: Input your known Body Mass Index value into the "Your BMI" field. If you don't know your BMI, you can use a standard BMI calculator first.
  2. Enter Your Known Measurement:
    • If you know your weight and want to find your height, enter your weight in the "Your Weight" field and select the correct unit (kg or lbs).
    • If you know your height and want to find your weight, enter your height in the "Your Height" field and select the correct unit (cm, m, in, or ft'in").
  3. Select Units: Ensure you select the correct units for weight (kg/lbs) and height (cm/m/in/ft'in") that correspond to the values you entered. For feet and inches, a separate input will appear.
  4. Click Calculate: Press the "Calculate" button. The calculator will process your inputs and display the results.

How to Read Results: The calculator will show:

  • Primary Result: This will be either your calculated height or your calculated weight, depending on what you entered.
  • Intermediate Values: You'll see the other physical measurement (weight if height was calculated, or height if weight was calculated), the calculated BMI value (if you started with height/weight), and your BMI category (Underweight, Normal, Overweight, Obese).
  • BMI Category: This provides context for your BMI value.

Decision-Making Guidance: Use the results to understand your current weight status. If your BMI falls outside the "Normal Weight" range (18.5-24.9), consider consulting a healthcare professional. They can provide personalized advice on diet, exercise, and lifestyle changes to help you reach a healthier weight and improve your overall well-being. Remember, BMI is just one indicator; consider it alongside other health factors.

Key Factors That Affect BMI Results

While BMI is a straightforward calculation, several factors can influence its interpretation and relevance to individual health. Understanding these nuances is crucial for a comprehensive view of your well-being.

  • Muscle Mass: Muscle is denser than fat. Individuals with high muscle mass (e.g., athletes, bodybuilders) may have a higher BMI than someone with less muscle but more body fat, even if their body composition is healthier. This can lead to a misclassification of their weight status.
  • Body Composition: BMI doesn't differentiate between fat mass and lean mass. Two people with the same height and BMI can have vastly different amounts of body fat, impacting their health risks differently.
  • Age: BMI's correlation with body fat can change with age. As people age, they may lose muscle mass and gain fat, even if their weight remains stable. This can make BMI less accurate in older adults.
  • Sex: Biological sex can influence body composition. Men typically have more muscle mass and less body fat than women at the same BMI, affecting how BMI relates to health risks.
  • Ethnicity: Certain ethnic groups have shown different relationships between BMI, body fat percentage, and health risks. For example, some Asian populations may have higher health risks at lower BMIs compared to Caucasian populations.
  • Bone Density: Individuals with naturally higher bone density might have a slightly higher weight, potentially skewing BMI upwards without indicating excess body fat.
  • Fluid Retention: Conditions causing significant fluid retention (e.g., kidney disease, heart failure) can temporarily increase weight and thus BMI, without reflecting changes in body fat.
  • Pregnancy: BMI calculations are not appropriate for pregnant women, as weight gain is expected and necessary during pregnancy.

Frequently Asked Questions (FAQ)

Q1: Can I use this calculator if I know my height and BMI to find my weight?

Yes, absolutely. This calculator is designed to find any missing metric (height, weight, or BMI) if you provide the other two. Just enter your known height and BMI, and it will calculate the corresponding weight.

Q2: What is the difference between BMI and body fat percentage?

BMI is a ratio of weight to height squared, serving as a general indicator. Body fat percentage measures the actual amount of fat in your body relative to your total weight. Body fat percentage is a more direct measure of body composition and health risk than BMI.

Q3: Is a BMI of 25 considered overweight?

Yes, according to standard classifications, a BMI of 25.0 to 29.9 is considered overweight. A BMI of 30 and above is classified as obese.

Q4: How accurate are the height and weight conversions?

The conversions used in this calculator are based on standard metric and imperial units and are highly accurate for general purposes. However, slight rounding differences may occur.

Q5: Can this calculator be used for children?

No, this calculator is intended for adults. BMI calculation and interpretation for children and adolescents require different formulas and growth charts that account for age and sex.

Q6: What if my calculated weight is very different from my current weight?

If your calculated weight for a "normal" BMI is significantly different from your current weight, it suggests your current weight status may be outside the healthy range. It's advisable to consult a healthcare professional for personalized guidance.

Q7: Does BMI account for frame size?

No, standard BMI calculations do not directly account for frame size (bone structure). While larger frames might contribute slightly to weight, the primary concern with high BMI is typically excess body fat.

Q8: How often should I check my BMI?

Checking your BMI periodically, perhaps every few months or after significant lifestyle changes, can be helpful. However, focus more on overall health habits like diet and exercise rather than solely on the BMI number.

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Disclaimer: This calculator is for informational purposes only and does not constitute medical advice. Consult with a healthcare professional for any health concerns.

var bmiInput = document.getElementById('bmi'); var weightInput = document.getElementById('weight'); var weightUnitSelect = document.getElementById('weightUnit'); var heightInput = document.getElementById('height'); var heightUnitSelect = document.getElementById('heightUnit'); var heightInputContainer = document.getElementById('heightInputContainer'); var bmiError = document.getElementById('bmiError'); var weightError = document.getElementById('weightError'); var heightError = document.getElementById('heightError'); var mainResultDiv = document.getElementById('mainResult'); var calculatedHeightSpan = document.getElementById('calculatedHeight'); var calculatedWeightSpan = document.getElementById('calculatedWeight'); var bmiCategorySpan = document.getElementById('bmiCategory'); var calculatedHeightLabel = document.getElementById('calculatedHeightLabel'); var calculatedWeightLabel = document.getElementById('calculatedWeightLabel'); var underweightRangeTd = document.getElementById('underweightRange'); var normalRangeTd = document.getElementById('normalRange'); var overweightRangeTd = document.getElementById('overweightRange'); var obese1RangeTd = document.getElementById('obese1Range'); var obese2RangeTd = document.getElementById('obese2Range'); var obese3RangeTd = document.getElementById('obese3Range'); var chart = null; var chartContext = null; function initializeChart() { chartContext = document.getElementById('bmiWeightChart').getContext('2d'); chart = new Chart(chartContext, { type: 'line', data: { labels: [], datasets: [{ label: 'Weight (kg)', data: [], borderColor: 'rgb(75, 192, 192)', tension: 0.1, fill: false }, { label: 'Calculated Weight (kg)', data: [], borderColor: 'rgb(255, 99, 132)', tension: 0.1, fill: false }] }, options: { responsive: true, maintainAspectRatio: false, scales: { x: { title: { display: true, text: 'BMI' } }, y: { title: { display: true, text: 'Weight (kg)' } } }, plugins: { tooltip: { callbacks: { label: function(context) { var label = context.dataset.label || "; if (label) { label += ': '; } if (context.parsed.y !== null) { label += context.parsed.y.toFixed(2) + ' kg'; } return label; } } } } } }); } function updateChart() { if (!chart) { initializeChart(); } var fixedHeightMeters = 1.75; // Standard height for chart reference var chartLabels = []; var chartDataWeight = []; var chartDataCalculatedWeight = []; // Generate BMI values from 15 to 45 for (var bmi = 15; bmi <= 45; bmi += 1) { chartLabels.push(bmi.toFixed(1)); // Calculate weight for this BMI and fixed height var calculatedWeightKg = bmi * Math.pow(fixedHeightMeters, 2); chartDataCalculatedWeight.push(calculatedWeightKg.toFixed(2)); // For the 'Weight (kg)' dataset, we'll just use the calculated weight for consistency in this specific chart's context chartDataWeight.push(calculatedWeightKg.toFixed(2)); } chart.data.labels = chartLabels; chart.data.datasets[0].data = chartDataWeight; // Using calculated weight for the first dataset too chart.data.datasets[1].data = chartDataCalculatedWeight; chart.options.plugins.title = { display: true, text: 'Weight (kg) vs. BMI for Height: ' + fixedHeightMeters + ' m' }; chart.update(); } function updateTable() { var fixedHeightMeters = 1.75; // Standard height for table reference var bmiRanges = { underweight: { min: 0, max: 18.4 }, normal: { min: 18.5, max: 24.9 }, overweight: { min: 25, max: 29.9 }, obese1: { min: 30, max: 34.9 }, obese2: { min: 35, max: 39.9 }, obese3: { min: 40, max: Infinity } }; for (var category in bmiRanges) { var range = bmiRanges[category]; var minWeightKg = range.min * Math.pow(fixedHeightMeters, 2); var maxWeightKg = range.max === Infinity ? Infinity : range.max * Math.pow(fixedHeightMeters, 2); var weightRangeText = ""; if (range.min === 0) { weightRangeText = " 1 ? parseFloat('0.' + parts[1]) * 12 : 0; return (feet * 12 + inches) * 0.0254; } return value; // Assume meters } function convertMetersToDisplay(valueMeters, unit) { if (unit === 'cm') { return (valueMeters * 100).toFixed(1); } else if (unit === 'in') { return (valueMeters / 0.0254).toFixed(1); } else if (unit === 'ftin') { var totalInches = valueMeters / 0.0254; var feet = Math.floor(totalInches / 12); var inches = (totalInches % 12).toFixed(1); return feet + "'" + inches + '"'; } return valueMeters.toFixed(2); // Assume meters } function convertKgToDisplay(valueKg, unit) { if (unit === 'lbs') { return (valueKg / 0.453592).toFixed(1); } return valueKg.toFixed(1); // Assume kg } function getBmiCategory(bmi) { if (bmi = 18.5 && bmi = 25 && bmi = 30 && bmi = 35 && bmi = 40) return "Obese (Class III)"; return "–"; } function validateInputs() { var valid = true; var bmi = parseFloat(bmiInput.value); var weight = parseFloat(weightInput.value); var height = parseFloat(heightInput.value); var weightUnit = weightUnitSelect.value; var heightUnit = heightUnitSelect.value; // Clear previous errors bmiError.textContent = "; weightError.textContent = "; heightError.textContent = "; if (isNaN(bmi) || bmi 100) { // Arbitrary upper limit for practical BMI bmiError.textContent = 'BMI seems too high. Please check your entry.'; valid = false; } if (isNaN(weight) || weight 1000) { // Arbitrary upper limit weightError.textContent = 'Weight seems too high. Please check your entry.'; valid = false; } if (isNaN(height) || height 300 && heightUnit === 'cm') { // Arbitrary upper limit for cm heightError.textContent = 'Height seems too high. Please check your entry.'; valid = false; } else if (height > 10 && heightUnit === 'm') { // Arbitrary upper limit for m heightError.textContent = 'Height seems too high. Please check your entry.'; valid = false; } else if (height > 120 && heightUnit === 'in') { // Arbitrary upper limit for inches heightError.textContent = 'Height seems too high. Please check your entry.'; valid = false; } else if (height > 10 && heightUnit === 'ftin') { // Arbitrary upper limit for feet in ft'in" heightError.textContent = 'Height seems too high. Please check your entry.'; valid = false; } return valid; } function calculateBmiMetrics() { if (!validateInputs()) { mainResultDiv.textContent = '–'; calculatedHeightSpan.textContent = '–'; calculatedWeightSpan.textContent = '–'; bmiCategorySpan.textContent = '–'; return; } var bmi = parseFloat(bmiInput.value); var weight = parseFloat(weightInput.value); var weightUnit = weightUnitSelect.value; var height = parseFloat(heightInput.value); var heightUnit = heightUnitSelect.value; var weightKg = convertToKg(weight, weightUnit); var heightMeters = convertToMeters(height, heightUnit); var calculatedHeightMeters = null; var calculatedWeightKg = null; var finalBmi = bmi; // Use the input BMI if provided // Determine which metric to calculate if (document.activeElement && document.activeElement.id === 'weight') { // User just entered weight, calculate height calculatedHeightMeters = Math.sqrt(weightKg / finalBmi); calculatedWeightKg = weightKg; // The weight entered is the known weight calculatedHeightLabel.textContent = 'Calculated Height'; calculatedWeightLabel.textContent = 'Known Weight'; mainResultDiv.textContent = convertMetersToDisplay(calculatedHeightMeters, heightUnit) + ' ' + heightUnit; calculatedHeightSpan.textContent = convertMetersToDisplay(calculatedHeightMeters, heightUnit); calculatedWeightSpan.textContent = convertKgToDisplay(calculatedWeightKg, weightUnit); } else { // User just entered height, calculate weight calculatedWeightKg = finalBmi * Math.pow(heightMeters, 2); calculatedHeightMeters = heightMeters; // The height entered is the known height calculatedHeightLabel.textContent = 'Known Height'; calculatedWeightLabel.textContent = 'Calculated Weight'; mainResultDiv.textContent = convertKgToDisplay(calculatedWeightKg, weightUnit) + ' ' + weightUnit; calculatedHeightSpan.textContent = convertMetersToDisplay(calculatedHeightMeters, heightUnit); calculatedWeightSpan.textContent = convertKgToDisplay(calculatedWeightKg, weightUnit); } bmiCategorySpan.textContent = getBmiCategory(finalBmi); updateTable(); updateChart(); } function resetCalculator() { bmiInput.value = "; weightInput.value = "; heightInput.value = "; weightUnitSelect.value = 'kg'; heightUnitSelect.value = 'cm'; bmiError.textContent = "; weightError.textContent = "; heightError.textContent = "; mainResultDiv.textContent = '–'; calculatedHeightSpan.textContent = '–'; calculatedWeightSpan.textContent = '–'; bmiCategorySpan.textContent = '–'; calculatedHeightLabel.textContent = 'Height'; calculatedWeightLabel.textContent = 'Weight'; // Optionally reset table/chart to default state or clear them updateTable(); updateChart(); } function copyResults() { var bmiVal = bmiInput.value || '–'; var weightVal = weightInput.value || '–'; var weightUnitVal = weightUnitSelect.value; var heightVal = heightInput.value || '–'; var heightUnitVal = heightUnitSelect.value; var mainResultText = mainResultDiv.textContent; var calcHeightText = calculatedHeightSpan.textContent; var calcWeightText = calculatedWeightSpan.textContent; var bmiCategoryText = bmiCategorySpan.textContent; var assumptions = "Assumptions:\n"; if (calculatedHeightLabel.textContent.includes('Calculated')) { assumptions += "- Known Weight: " + weightVal + " " + weightUnitVal + "\n"; assumptions += "- Calculated Height: " + mainResultText + "\n"; } else { assumptions += "- Known Height: " + heightVal + " " + heightUnitVal + "\n"; assumptions += "- Calculated Weight: " + mainResultText + "\n"; } assumptions += "- Input BMI: " + bmiVal + "\n"; assumptions += "- BMI Category: " + bmiCategoryText + "\n"; var resultsText = "— BMI Calculation Results —\n\n"; resultsText += "Primary Result: " + mainResultText + "\n"; resultsText += "Other Metric:\n"; resultsText += " – " + calculatedHeightLabel.textContent + ": " + calcHeightText + "\n"; resultsText += " – " + calculatedWeightLabel.textContent + ": " + calcWeightText + "\n"; resultsText += "BMI Category: " + bmiCategoryText + "\n\n"; resultsText += assumptions; navigator.clipboard.writeText(resultsText).then(function() { // Optional: Show a temporary success message var copyButton = document.querySelector('button.success'); var originalText = copyButton.textContent; copyButton.textContent = 'Copied!'; setTimeout(function() { copyButton.textContent = originalText; }, 2000); }).catch(function(err) { console.error('Failed to copy: ', err); // Optional: Show an error message }); } // Handle dynamic height input for ft'in" heightUnitSelect.addEventListener('change', function() { var selectedUnit = this.value; heightInputContainer.innerHTML = "; // Clear previous input if (selectedUnit === 'ftin') { var feetInput = document.createElement('input'); feetInput.type = 'number'; feetInput.id = 'height'; feetInput.placeholder = "e.g., 5.10 (for 5'10\")"; feetInput.style.width = 'calc(50% – 15px)'; // Adjust width for two inputs feetInput.style.marginRight = '10px'; feetInput.oninput = function() { calculateBmiMetrics(); }; // Recalculate on input var inchesInput = document.createElement('input'); inchesInput.type = 'number'; inchesInput.id = 'height_inches'; // Temporary ID for inches part inchesInput.placeholder = "e.g., 10"; inchesInput.style.width = 'calc(50% – 15px)'; inchesInput.oninput = function() { // Combine feet and inches for calculation var feetVal = parseFloat(feetInput.value) || 0; var inchesVal = parseFloat(this.value) || 0; heightInput.value = feetVal + '.' + inchesVal; // Store combined value in hidden main input calculateBmiMetrics(); }; heightInputContainer.appendChild(feetInput); heightInputContainer.appendChild(inchesInput); // Need to re-assign the main heightInput reference if we want to use it directly heightInput = document.getElementById('height'); // Re-assign if needed, or handle logic with feetInput/inchesInput } else { var newInput = document.createElement('input'); newInput.type = 'number'; newInput.id = 'height'; newInput.placeholder = 'e.g., 175'; newInput.oninput = function() { calculateBmiMetrics(); }; heightInputContainer.appendChild(newInput); heightInput = document.getElementById('height'); // Re-assign } }); // Initial setup and event listeners bmiInput.addEventListener('input', calculateBmiMetrics); weightInput.addEventListener('input', calculateBmiMetrics); weightUnitSelect.addEventListener('change', calculateBmiMetrics); heightInput.addEventListener('input', calculateBmiMetrics); heightUnitSelect.addEventListener('change', calculateBmiMetrics); // Initial calculation and chart/table setup on load window.onload = function() { updateTable(); updateChart(); }; // Initial call to set default values if any, or just to ensure chart/table are rendered calculateBmiMetrics();

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