Calculate the Area of a Circle

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Circle Area Calculator

Accurately determine the total surface area of any circle based on its radius or diameter.

Radius Diameter
Units cm m Inches Feet
Calculated Area:

How to Calculate the Area of a Circle

The area of a circle represents the total space contained within the boundary of its perimeter. In geometry, the area is calculated using the distance from the center to the edge (the radius).

Area = π × r²

Where:

  • π (Pi): Approximately 3.14159
  • r: The radius of the circle

Using the Radius vs. Diameter

The radius is exactly half of the diameter. If you only know the diameter of a circle, you can find the area by either dividing the diameter by two to find the radius first, or by using the specific diameter formula:

Area = (π / 4) × d²

Step-by-Step Example

Let's say you have a circular table with a radius of 5 feet. To find the area:

  1. Square the radius: 5 × 5 = 25
  2. Multiply by Pi (3.14159): 25 × 3.14159 = 78.53975
  3. Result: The area is approximately 78.54 square feet.

Why Use This Calculator?

Whether you are calculating the amount of fabric needed for a circular tablecloth, the amount of mulch for a garden bed, or solving a complex engineering problem, precision is key. Our circle area calculator uses the high-precision value of Pi provided by modern JavaScript engines to ensure your math is perfect every time.

function updateLabels() { var type = document.getElementById('inputType').value; var label = document.getElementById('dimensionLabel'); if (type === 'radius') { label.innerText = 'Radius Value:'; } else { label.innerText = 'Diameter Value:'; } } function calculateCircleArea() { var val = parseFloat(document.getElementById('circleValue').value); var type = document.getElementById('inputType').value; var unit = document.getElementById('unit').value; var areaOutput = document.getElementById('areaOutput'); var circumferenceOutput = document.getElementById('circumferenceOutput'); var resultDisplay = document.getElementById('resultDisplay'); if (isNaN(val) || val <= 0) { alert("Please enter a valid positive number."); return; } var radius; if (type === 'radius') { radius = val; } else { radius = val / 2; } var area = Math.PI * Math.pow(radius, 2); var circumference = 2 * Math.PI * radius; areaOutput.innerHTML = area.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 4}) + " " + unit + "²"; circumferenceOutput.innerHTML = "Circumference: " + circumference.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 4}) + " " + unit; resultDisplay.style.display = 'block'; }

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