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2. Mathematics
3. Geometry
4. Ellipse Area

\(a\)

(length of semi-minor axis)

units

\(b\)

(length of semi-major axis)

units

Area

square units

Copy

How to use Ellipse Area Calculator

1. Enter ✎ value for length of semi-minor axis \((a)\).
2. Enter ✎ value for length of semi-major axis \((b)\).
3. The result appears beneath the inputs as you enter values.

About this calculation

The area of an ellipse is defined as the area enclosed within in the boundary of the ellipse.

Formula

To calculate the ellipse area, you can use the following formula.

Area = \( π a b \)

where

Calculation

{
  "topic": "ellipse-area",
  "img": {
    "width": 330,
    "height": 210
  },
  "input_types": [
    "float",
    "float"
  ],
  "input_labels": [
    "a",
    "b"
  ],
  "input_values": [
    "4",
    "6"
  ],
  "input_units": [
    "units",
    "units"
  ],
  "input_descriptions": [
    "length of semi-minor axis",
    "length of semi-major axis"
  ],
  "examples": [
    {
      "a": 10,
      "b": 20
    },
    {
      "a": 1,
      "b": 0.5
    }
  ],
  "type": "Calculate",
  "title": "Ellipse Area",
  "category": "Geometry",
  "shape": "Ellipse",
  "formula_mathjax": "\\( π a b \\)",
  "formula_mathjax_sub": "\\( π \\times a \\times b \\)",
  "formula": " Math.PI * a * b ",
  "op_label": "Area",
  "output_unit": "square units",
  "description": "The ellipse area calculator calculates the area of an ellipse by taking its length of semi-minor axis and length of semi-major axis as inputs.",
  "explanation": "The area of an ellipse is defined as the area enclosed within in the boundary of the ellipse."
}