Weight Hip Ratio Calculator

Weight Hip Ratio Calculator: Understanding Your Body Composition :root { –primary-color: #004a99; –success-color: #28a745; –background-color: #f8f9fa; –text-color: #333; –border-color: #ddd; –card-background: #ffffff; –shadow: 0 2px 4px 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; } .container { max-width: 960px; margin: 20px auto; padding: 20px; background-color: var(–card-background); border-radius: 8px; box-shadow: var(–shadow); } h1, h2, h3 { color: var(–primary-color); text-align: center; margin-bottom: 20px; } .header-summary { font-size: 1.1em; text-align: center; margin-bottom: 30px; color: #555; } .calculator-section { margin-bottom: 40px; padding: 30px; background-color: var(–card-background); border-radius: 8px; box-shadow: var(–shadow); } .input-group { margin-bottom: 20px; text-align: left; } .input-group label { display: block; margin-bottom: 8px; font-weight: bold; color: var(–primary-color); } .input-group input[type="number"], .input-group select { width: calc(100% – 20px); padding: 10px; border: 1px solid var(–border-color); border-radius: 5px; font-size: 1em; box-sizing: border-box; } .input-group .helper-text { font-size: 0.9em; color: #666; margin-top: 5px; display: block; } .error-message { color: #dc3545; font-size: 0.9em; margin-top: 5px; display: none; /* Hidden by default */ } .button-group { display: flex; justify-content: space-around; margin-top: 30px; } button { padding: 12px 25px; border: none; border-radius: 5px; cursor: pointer; font-size: 1em; font-weight: bold; transition: background-color 0.3s ease; } .primary-button { background-color: var(–primary-color); color: white; } .primary-button:hover { background-color: #003366; } .secondary-button { background-color: #6c757d; color: white; } .secondary-button:hover { background-color: #5a6268; } .results-container { margin-top: 30px; padding: 25px; background-color: var(–primary-color); color: white; border-radius: 8px; text-align: center; box-shadow: var(–shadow); } .results-container h3 { color: white; margin-bottom: 15px; } .main-result { font-size: 2.5em; font-weight: bold; margin-bottom: 15px; display: block; word-break: break-all; /* Prevents overflow if result is very long */ } .intermediate-results div, .key-assumptions div { margin-bottom: 10px; font-size: 1.1em; } .intermediate-results span, .key-assumptions span { font-weight: bold; margin-left: 5px; } .chart-container { margin-top: 30px; padding: 25px; background-color: var(–card-background); border-radius: 8px; box-shadow: var(–shadow); text-align: center; } canvas { max-width: 100%; height: auto; } .table-container { margin-top: 30px; padding: 25px; background-color: var(–card-background); border-radius: 8px; box-shadow: var(–shadow); overflow-x: auto; /* For responsiveness */ } table { width: 100%; border-collapse: collapse; margin-top: 15px; } th, td { padding: 12px; text-align: left; border-bottom: 1px solid var(–border-color); } th { background-color: var(–primary-color); color: white; font-weight: bold; } tr:nth-child(even) { background-color: #f2f2f2; } caption { font-size: 1.1em; font-weight: bold; color: var(–primary-color); margin-bottom: 10px; caption-side: top; text-align: left; } .article-content { margin-top: 40px; padding: 30px; background-color: var(–card-background); border-radius: 8px; box-shadow: var(–shadow); } .article-content h2, .article-content h3 { text-align: left; margin-top: 25px; margin-bottom: 15px; } .article-content p { margin-bottom: 15px; } .article-content ul, .article-content ol { margin-left: 20px; margin-bottom: 15px; } .article-content li { margin-bottom: 8px; } .article-content strong { color: var(–primary-color); } a { color: var(–primary-color); text-decoration: none; } a:hover { text-decoration: underline; } .faq-item { margin-bottom: 20px; padding-bottom: 10px; border-bottom: 1px dashed var(–border-color); } .faq-item:last-child { border-bottom: none; } .faq-question { font-weight: bold; color: var(–primary-color); cursor: pointer; margin-bottom: 5px; } .faq-answer { display: none; /* Hidden by default */ margin-left: 15px; font-size: 0.95em; } .related-links { list-style: none; padding: 0; } .related-links li { margin-bottom: 10px; } .related-links a { font-weight: bold; } .related-links span { font-size: 0.9em; color: #666; margin-left: 10px; }

Weight Hip Ratio Calculator

Calculate your Weight Hip Ratio (WHR) and understand its implications for your health. This tool helps you assess your body fat distribution.

Calculate Your Weight Hip Ratio

Measure around the narrowest part of your waist.
Measure around the widest part of your hips.
Centimeters (cm) Inches (in) Meters (m) Select the units for your measurements.

Formula Used

The Weight Hip Ratio (WHR) is calculated by dividing your waist circumference by your hip circumference.

WHR = Waist Circumference / Hip Circumference

Your Weight Hip Ratio Results

–.–
Waist Circumference: –.–
Hip Circumference: –.–
Units Used:

Health Interpretation

WHR Health Risk Levels

Comparison of WHR ranges for men and women and associated health risks.
WHR Health Risk Categories
Category Description Men (WHR) Women (WHR)
Low Risk Metabolic health is generally good. ≤ 0.90 ≤ 0.85
Moderate Risk Increased risk of cardiovascular disease and other metabolic issues. 0.91 – 0.99 0.86 – 0.94
High Risk Significantly increased risk of cardiovascular disease, type 2 diabetes, and other health complications. ≥ 1.00 ≥ 0.95

What is Weight Hip Ratio (WHR)?

The Weight Hip Ratio (WHR), often referred to as the waist-to-hip ratio, is a simple yet powerful measurement used to assess the distribution of body fat. It specifically looks at the proportion of fat stored around your abdomen (waist circumference) relative to the fat stored around your hips (hip circumference). This ratio provides valuable insights into your health status, particularly concerning your risk for cardiovascular diseases, diabetes, and other metabolic disorders. Unlike metrics like Body Mass Index (BMI), which only consider height and weight, WHR focuses on where your body fat is located, which is a more accurate indicator of health risks associated with abdominal obesity.

Who Should Use the WHR Calculator?

Anyone interested in understanding their body composition and associated health risks can benefit from using the WHR calculator. It is particularly recommended for:

  • Individuals concerned about cardiovascular health.
  • People managing or at risk for type 2 diabetes.
  • Those who want a more nuanced view of their body fat distribution than BMI provides.
  • Healthcare professionals and patients to monitor health trends.
  • Fitness enthusiasts looking to optimize their body composition for health and performance.

Common Misconceptions about WHR

A common misconception is that WHR is solely about aesthetics or weight loss. While it can be a motivator for lifestyle changes, its primary purpose is health risk assessment. Another misconception is that WHR replaces BMI entirely. In reality, both WHR and BMI offer different but complementary perspectives on body composition and health. WHR highlights abdominal fat, which is metabolically active and poses greater risks, while BMI gives a broader overview of weight relative to height.

Weight Hip Ratio (WHR) Formula and Mathematical Explanation

Understanding the Weight Hip Ratio formula is straightforward. It involves a simple division that reveals the proportionality of fat distribution.

Step-by-Step Derivation:

  1. Measure Waist Circumference: Find the narrowest part of your torso, typically just above the belly button. Breathe normally and use a flexible measuring tape. Record this measurement.
  2. Measure Hip Circumference: Find the widest part of your hips, usually at the level of your buttocks. Ensure the tape is snug but not digging into the skin. Record this measurement.
  3. Divide Waist by Hip: Take the measurement of your waist circumference and divide it by the measurement of your hip circumference.

The resulting number is your Weight Hip Ratio (WHR).

Variable Explanations:

The core variables in the WHR calculation are:

  • Waist Circumference: This measurement indicates the amount of abdominal fat (visceral and subcutaneous). Higher waist circumference is associated with increased health risks.
  • Hip Circumference: This measurement indicates the amount of fat stored in the hip and gluteal areas.

WHR Variables Table:

WHR Calculation Variables
Variable Meaning Unit Typical Range
Waist Circumference Measurement around the narrowest part of the abdomen. cm, in, m Varies widely by individual.
Hip Circumference Measurement around the widest part of the hips/buttocks. cm, in, m Varies widely by individual.
Weight Hip Ratio (WHR) The ratio of waist to hip circumference. Unitless ratio Generally between 0.5 to 1.2+

Practical Examples (Real-World Use Cases)

Let's illustrate the Weight Hip Ratio calculation with practical scenarios:

Example 1: A Healthy Individual

Scenario: Sarah is a 35-year-old woman who exercises regularly and maintains a balanced diet. She measures her waist at 70 cm and her hips at 95 cm.

Inputs:

  • Waist Circumference: 70 cm
  • Hip Circumference: 95 cm
  • Units: Centimeters (cm)

Calculation:

WHR = 70 cm / 95 cm = 0.737

Results:

  • Weight Hip Ratio: 0.74
  • Health Interpretation: Low Risk (since 0.74 is ≤ 0.85 for women)

Interpretation: Sarah's WHR of 0.74 indicates a low risk for developing cardiovascular disease and other metabolic conditions. Her body fat distribution is considered healthy.

Example 2: An Individual with Increased Risk

Scenario: John is a 50-year-old man who works a sedentary job and has noticed increased belly fat. He measures his waist at 105 cm and his hips at 100 cm.

Inputs:

  • Waist Circumference: 105 cm
  • Hip Circumference: 100 cm
  • Units: Centimeters (cm)

Calculation:

WHR = 105 cm / 100 cm = 1.05

Results:

  • Weight Hip Ratio: 1.05
  • Health Interpretation: High Risk (since 1.05 is ≥ 1.00 for men)

Interpretation: John's WHR of 1.05 suggests a high risk for developing serious health issues like heart disease, stroke, and type 2 diabetes. He should consider lifestyle changes, including diet and exercise, to reduce abdominal fat and improve his health.

How to Use This Weight Hip Ratio Calculator

Using our Weight Hip Ratio calculator is designed to be quick and intuitive. Follow these steps:

  1. Accurate Measurement: Ensure you have a flexible measuring tape. For the waist, measure at the narrowest point, usually above your belly button, while exhaling slightly. For the hips, measure at the widest point, across your buttocks.
  2. Enter Measurements: Input your waist circumference and hip circumference into the respective fields.
  3. Select Units: Choose the units (centimeters, inches, or meters) you used for your measurements. The calculator will handle the conversion if necessary, though it's best to use consistent units for both measurements.
  4. Click Calculate: Press the "Calculate WHR" button.
  5. Review Results: The calculator will display your WHR, the measurements used, and an interpretation of your health risk based on standard categories.
  6. Reset or Copy: Use the "Reset" button to clear the fields and start over. Use the "Copy Results" button to easily save or share your calculated WHR and related information.

How to Read Results:

Your WHR is a unitless number. The interpretation provided alongside the result categorizes your risk level (Low, Moderate, or High) based on established health guidelines. Generally, a higher WHR indicates more abdominal fat, which is linked to greater health risks.

Decision-Making Guidance:

If your WHR falls into the moderate or high-risk categories, it's a strong signal to consult with a healthcare professional. They can provide personalized advice on diet, exercise, and other lifestyle modifications to help you reduce your health risks. Even if your WHR is low, maintaining healthy habits is crucial for long-term well-being.

Key Factors That Affect Weight Hip Ratio Results

Several factors can influence your WHR and its interpretation. Understanding these can provide a more comprehensive view of your body composition:

  1. Genetics: Your genetic predisposition plays a significant role in where your body stores fat. Some individuals naturally tend to store more fat in the abdominal area, leading to a higher WHR, even at a similar overall weight to someone with different fat distribution.
  2. Age: As people age, metabolic rates tend to slow down, and hormonal changes can occur. This often leads to a redistribution of fat, with a tendency for more fat to accumulate around the abdomen, potentially increasing WHR.
  3. Hormonal Changes: Hormones like cortisol (related to stress) and sex hormones (estrogen and testosterone) significantly impact fat storage patterns. For instance, lower estrogen levels post-menopause in women are often associated with increased abdominal fat.
  4. Lifestyle Choices (Diet & Exercise): A diet high in processed foods, sugar, and unhealthy fats, combined with a lack of physical activity, promotes fat accumulation, particularly visceral fat around the organs, directly increasing WHR. Conversely, a healthy diet and regular exercise can help manage WHR.
  5. Stress Levels: Chronic stress can lead to elevated cortisol levels, which promotes the storage of abdominal fat. High-stress individuals might find their WHR increasing even if other lifestyle factors are managed.
  6. Sleep Quality: Poor sleep quality is linked to hormonal imbalances that can affect appetite and fat storage. Insufficient sleep can disrupt hormones like ghrelin and leptin, leading to increased cravings and a tendency to gain weight, often in the abdominal region.
  7. Muscle Mass: While WHR primarily measures fat, significant differences in muscle mass, particularly around the midsection, can slightly influence waist measurement, although hip measurement is less affected. However, the primary driver of a high WHR is excess adipose tissue, not muscle.

Frequently Asked Questions (FAQ)

What is the ideal Weight Hip Ratio?
The ideal WHR is considered to be below 0.90 for men and below 0.85 for women. These ranges are associated with a lower risk of cardiovascular disease and metabolic syndrome.
Can my WHR change over time?
Yes, your WHR can change significantly with lifestyle modifications such as diet, exercise, stress management, and adequate sleep. It's a dynamic indicator of your body composition.
Is WHR more accurate than BMI?
WHR and BMI provide different information. BMI indicates general weight status relative to height, while WHR specifically highlights the health risks associated with abdominal obesity. For a comprehensive health assessment, both can be useful, but WHR is often considered a better predictor of cardiovascular risk.
How should I measure my waist and hips correctly?
For waist: measure at the narrowest point between your ribs and hips, typically at or just above the belly button. For hips: measure at the widest point around your buttocks. Ensure the tape is snug but not constricting and that you are breathing normally.
What if my waist and hip measurements are in different units?
The calculator allows you to select the units for your measurements. It's crucial that both measurements are taken in the same unit (e.g., both in cm or both in inches) before entering them. If they are not, convert one to match the other before using the calculator.
Does WHR apply to children?
WHR is primarily used for adult risk assessment. Pediatric health guidelines for body composition typically use different metrics, such as BMI-for-age percentiles and specific pediatric WHR charts, which should be interpreted by healthcare professionals.
What does it mean if my WHR is equal for men and women?
The interpretation thresholds differ between men and women due to biological variations in fat distribution. Even if the ratio number is the same, the health risk level needs to be assessed against the appropriate gender-specific guidelines.
Can I rely solely on WHR for health decisions?
No, WHR is one indicator among many. It should be considered alongside other health markers like blood pressure, cholesterol levels, blood glucose, BMI, and overall lifestyle. Always consult a healthcare provider for personalized health advice.

Related Tools and Internal Resources

function isNumeric(value) { return !isNaN(parseFloat(value)) && isFinite(value); } function clearError(id) { var errorElement = document.getElementById(id); if (errorElement) { errorElement.textContent = "; errorElement.style.display = 'none'; } } function showError(id, message) { var errorElement = document.getElementById(id); if (errorElement) { errorElement.textContent = message; errorElement.style.display = 'block'; } } function calculateWHR() { var waistInput = document.getElementById('waistCircumference'); var hipInput = document.getElementById('hipCircumference'); var unitSelect = document.getElementById('unit'); var resultsDiv = document.getElementById('results'); var calculationExplanationDiv = document.getElementById('calculationExplanation'); var whrResultSpan = document.getElementById('whrResult'); var displayWaistSpan = document.getElementById('displayWaist'); var displayHipSpan = document.getElementById('displayHip'); var displayUnitsSpan = document.getElementById('displayUnits'); var healthInterpretationDiv = document.getElementById('healthInterpretation'); var waist = parseFloat(waistInput.value); var hip = parseFloat(hipInput.value); var unit = unitSelect.value; var errors = false; clearError('waistCircumferenceError'); clearError('hipCircumferenceError'); if (!isNumeric(waistInput.value) || waist <= 0) { showError('waistCircumferenceError', 'Please enter a valid positive number for waist circumference.'); errors = true; } if (!isNumeric(hipInput.value) || hip <= 0) { showError('hipCircumferenceError', 'Please enter a valid positive number for hip circumference.'); errors = true; } if (errors) { resultsDiv.style.display = 'none'; return; } var whr = waist / hip; var formattedWHR = whr.toFixed(2); var interpretation = ''; var gender = 'neutral'; // Default for general interpretation var unitLabel = unit.toUpperCase(); displayWaistSpan.textContent = waist.toFixed(2) + ' ' + unitLabel; displayHipSpan.textContent = hip.toFixed(2) + ' ' + unitLabel; displayUnitsSpan.textContent = unitLabel; // Interpretation based on gender (simplified, assuming user might infer or contextually know) // For a more robust solution, we'd ask for gender. Here, we present both. var maleWHR = parseFloat(formattedWHR); var femaleWHR = parseFloat(formattedWHR); var maleRisk = ''; if (maleWHR 0.90 && maleWHR < 1.00) { maleRisk = 'Moderate Risk'; } else { maleRisk = 'High Risk'; } var femaleRisk = ''; if (femaleWHR 0.85 && femaleWHR < 0.95) { femaleRisk = 'Moderate Risk'; } else { femaleRisk = 'High Risk'; } interpretation = 'Men: ' + maleRisk + ' (thresholds ≤0.90 Low, 0.91-0.99 Moderate, ≥1.00 High)' + 'Women: ' + femaleRisk + ' (thresholds ≤0.85 Low, 0.86-0.94 Moderate, ≥0.95 High)'; whrResultSpan.textContent = formattedWHR; healthInterpretationDiv.innerHTML = interpretation; resultsDiv.style.display = 'block'; calculationExplanationDiv.style.display = 'block'; updateChart(formattedWHR); } function resetCalculator() { document.getElementById('waistCircumference').value = "; document.getElementById('hipCircumference').value = "; document.getElementById('unit').value = 'cm'; document.getElementById('whrResult').textContent = '–.–'; document.getElementById('displayWaist').textContent = '–.–'; document.getElementById('displayHip').textContent = '–.–'; document.getElementById('displayUnits').textContent = '–'; document.getElementById('healthInterpretation').innerHTML = "; document.getElementById('results').style.display = 'none'; document.getElementById('calculationExplanation').style.display = 'none'; clearError('waistCircumferenceError'); clearError('hipCircumferenceError'); updateChart(0); // Reset chart } function copyResults() { var whr = document.getElementById('whrResult').textContent; var waist = document.getElementById('displayWaist').textContent; var hip = document.getElementById('displayHip').textContent; var units = document.getElementById('displayUnits').textContent; var interpretation = document.getElementById('healthInterpretation').textContent; if (whr === '–.–') { alert("No results to copy yet."); return; } var textToCopy = "Weight Hip Ratio Results:\n\n"; textToCopy += "WHR: " + whr + "\n"; textToCopy += "Waist: " + waist + "\n"; textToCopy += "Hip: " + hip + "\n"; textToCopy += "Units: " + units + "\n\n"; textToCopy += "Health Interpretation:\n" + interpretation.replace(//g, '\n'); // Replace with newline for plain text navigator.clipboard.writeText(textToCopy).then(function() { alert('Results copied to clipboard!'); }, function(err) { console.error('Could not copy text: ', err); alert('Failed to copy results. Please copy manually.'); }); } function toggleFaq(element) { var answer = element.nextElementSibling; if (answer.style.display === 'block') { answer.style.display = 'none'; } else { answer.style.display = 'block'; } } // Chart Implementation var whrChartInstance = null; var whrChartCanvas = document.getElementById('whrChart'); function updateChart(currentWHR) { var ctx = whrChartCanvas.getContext('2d'); // Chart data var labels = ['Men (Low Risk)', 'Men (Moderate Risk)', 'Men (High Risk)', 'Women (Low Risk)', 'Women (Moderate Risk)', 'Women (High Risk)']; var dataPoints = [0.90, 0.99, 1.00, 0.85, 0.94, 0.95]; // Upper bounds of each category (High risk starts at >=) var menLowMax = 0.90; var menModMax = 0.99; var womenLowMax = 0.85; var womenModMax = 0.94; // Create bars representing the ranges var barData = [ { x: 'Men (Low Risk)', y: menLowMax, color: 'rgba(40, 167, 69, 0.7)' }, // Green { x: 'Men (Moderate Risk)', y: menModMax – menLowMax, color: 'rgba(255, 193, 7, 0.7)' }, // Yellow { x: 'Men (High Risk)', y: 0.20, color: 'rgba(220, 53, 69, 0.7)' }, // Red – represents the range above moderate { x: 'Women (Low Risk)', y: womenLowMax, color: 'rgba(40, 167, 69, 0.7)' }, // Green { x: 'Women (Moderate Risk)', y: womenModMax – womenLowMax, color: 'rgba(255, 193, 7, 0.7)' }, // Yellow { x: 'Women (High Risk)', y: 0.20, color: 'rgba(220, 53, 69, 0.7)' } // Red ]; // Find the correct category for the current WHR var currentCategoryColor = 'rgba(0, 0, 0, 0.3)'; // Default grey for unknown/uncalculated var currentCategoryLabel = "; if (isNumeric(currentWHR)) { currentWHR = parseFloat(currentWHR); // Check Men's risk if (currentWHR menLowMax && currentWHR <= menModMax) { currentCategoryColor = 'rgba(255, 193, 7, 1)'; // Yellow currentCategoryLabel = 'Men (Moderate Risk)'; } else { currentCategoryColor = 'rgba(220, 53, 69, 1)'; // Red currentCategoryLabel = 'Men (High Risk)'; } // Check Women's risk (if not already classified as men's high risk) if (currentWHR womenLowMax && currentWHR womenModMax) { // Only override if it's also high for women currentCategoryColor = 'rgba(220, 53, 69, 1)'; // Red currentCategoryLabel = 'Women (High Risk)'; } } // Destroy previous chart instance if it exists if (whrChartInstance) { whrChartInstance.destroy(); } whrChartInstance = new Chart(ctx, { type: 'bar', data: { labels: labels, datasets: [{ label: 'WHR Risk Thresholds', data: [ menLowMax, menModMax – menLowMax, 0.2, // Men's data womenLowMax, womenModMax – womenLowMax, 0.2 // Women's data ], backgroundColor: [ 'rgba(40, 167, 69, 0.7)', // Men Low Risk 'rgba(255, 193, 7, 0.7)', // Men Moderate Risk 'rgba(220, 53, 69, 0.7)', // Men High Risk 'rgba(40, 167, 69, 0.7)', // Women Low Risk 'rgba(255, 193, 7, 0.7)', // Women Moderate Risk 'rgba(220, 53, 69, 0.7)' // Women High Risk ], borderColor: [ 'rgba(40, 167, 69, 1)', 'rgba(255, 193, 7, 1)', 'rgba(220, 53, 69, 1)', 'rgba(40, 167, 69, 1)', 'rgba(255, 193, 7, 1)', 'rgba(220, 53, 69, 1)' ], borderWidth: 1 }, // Dataset for the current WHR marker { label: 'Your WHR', data: [ (currentCategoryLabel.includes('Men (Low Risk)') ? parseFloat(currentWHR) : 0), (currentCategoryLabel.includes('Men (Moderate Risk)') ? parseFloat(currentWHR) : 0), (currentCategoryLabel.includes('Men (High Risk)') ? parseFloat(currentWHR) : 0), (currentCategoryLabel.includes('Women (Low Risk)') ? parseFloat(currentWHR) : 0), (currentCategoryLabel.includes('Women (Moderate Risk)') ? parseFloat(currentWHR) : 0), (currentCategoryLabel.includes('Women (High Risk)') ? parseFloat(currentWHR) : 0), ], backgroundColor: currentCategoryColor, borderColor: currentCategoryColor.replace('0.7', '1').replace('1', '1'), borderWidth: 2, type: 'line', // Use line to show marker fill: false, pointRadius: 7, pointHoverRadius: 9, showLine: false // Don't draw a line connecting points if there's only one }] }, options: { responsive: true, maintainAspectRatio: true, scales: { y: { beginAtZero: true, title: { display: true, text: 'Ratio Value', color: '#004a99' }, ticks: { precision: 2 // Display up to 2 decimal places } }, x: { title: { display: true, text: 'Gender and Risk Category', color: '#004a99' } } }, plugins: { legend: { display: false // Hide default legend as we explain in caption }, title: { display: true, text: 'WHR Health Risk Levels', font: { size: 16 }, color: '#004a99' }, tooltip: { callbacks: { label: function(context) { var label = context.dataset.label || "; if (label) { label += ': '; } if (context.parsed.y !== undefined) { label += context.parsed.y.toFixed(2); } return label; } } } } } }); } // Initial chart render document.addEventListener('DOMContentLoaded', function() { updateChart(0); // Render initial empty chart state });

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