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1. Convert Online
2. Mathematics
3. Geometry
4. Pentagon Area

\(s\)

(length of side)

units

Area

square units

Copy

How to use this Pentagon Area Calculator 🤔

1. Enter ✎ value for length of side \((s)\).
2. As soon as you enter the required input value(s), the Pentagon Area is calculated immediately, and displaed in the output section (present under input section).

Pentagon Area

The area of a regular pentagon is a measure of the space enclosed by its five equal sides. To calculate the area of a pentagon using length of the side, use the given formula for pentagon area, and compute the result.

Formula

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

Area = \( \frac{ \sqrt{5(5 + 2\sqrt{5})} }{4} s ^2 \)

where

Calculation

{
  "topic": "pentagon-area",
  "img": {
    "width": 245,
    "height": 273
  },
  "input_types": [
    "float"
  ],
  "input_labels": [
    "s"
  ],
  "input_values": [
    "8"
  ],
  "input_units": [
    "units"
  ],
  "input_descriptions": [
    "length of side"
  ],
  "examples": [
    {
      "s": 20
    },
    {
      "s": 1
    }
  ],
  "type": "Calculate",
  "title": "Pentagon Area",
  "category": "Geometry",
  "shape": "Pentagon",
  "formula_mathjax": "\\( \\frac{ \\sqrt{5(5 + 2\\sqrt{5})} }{4} s ^2 \\)",
  "formula_mathjax_sub": "\\( \\frac{ \\sqrt{5(5 + 2\\sqrt{5})} }{4} \\times s ^2 \\)",
  "formula": "( Math.sqrt(5*(5+2*Math.sqrt(5))) * s * s / 4 )",
  "op_label": "Area",
  "output_unit": "square units",
  "description": "The Pentagon Area calculator calculates the area of a pentagon shape by taking the length of its side as input.",
  "explanation": "The area of a regular pentagon is a measure of the space enclosed by its five equal sides. To calculate the area of a pentagon using length of the side, use the given formula for pentagon area, and compute the result."
}