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Pentagon Area Calculator

s

(length of side)

units

Area (A)

square units

CopyView Calculation

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).

Formula

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

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

where

Calculation

Once you enter the input values in the calculator, the output parameters are calculated.

{
  "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",
  "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."
}