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Sector Area Calculator

r

(radius)

units

θ

(angle of the sector)

degrees

Area (A)

square units

CopyView Calculation

How to use this Sector Area Calculator 🤔

1. Enter ✎ value for radius (r).
2. Enter ✎ value for angle of the sector (θ).
3. As soon as you enter the required input value(s), the Sector Area is calculated immediately, and displaed in the output section (present under input section).

Formula

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

\(A = \) \( \frac{1}{2} r^2 θ \frac{\pi}{180} \)

where

Calculation

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

{
  "topic": "sector-area",
  "img": {
    "width": 224,
    "height": 164
  },
  "input_types": [
    "float",
    "float"
  ],
  "input_labels": [
    "r",
    "θ"
  ],
  "input_values": [
    "8",
    "1.5"
  ],
  "input_units": [
    "units",
    "degrees"
  ],
  "input_descriptions": [
    "radius",
    "angle of the sector"
  ],
  "examples": [
    {
      "r": 10,
      "θ": 180
    },
    {
      "r": 2,
      "θ": 45
    }
  ],
  "type": "Calculate",
  "title": "Sector Area",
  "category": "Geometry",
  "shape": "Sector",
  "formula": " (1 / 2) * r * r * θ * ( Math.PI / 180 ) ",
  "formula_mathjax": "\\( \\frac{1}{2} r^2 θ \\frac{\\pi}{180} \\)",
  "formula_mathjax_sub": "\\( \\frac{1}{2} \\times r ^2 \\times θ \\times \\frac{\\pi}{180} \\)",
  "op_label": "Area",
  "output_unit": "square units",
  "explanation": "The area of a sector is defined as the area included between the radii and the arc."
}