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Calcimator

Area from Coordinates Calculator

Calculate polygon area from coordinate pairs using the shoelace (Gauss) formula. Supports 4-6 vertices with perimeter and centroid output.

Inputs

ft
ft
ft
ft
ft
ft
ft
ft

Results

Area

200,000 sq ft

≈ 3 football fields

Area

4.59 acres

≈ 3 football fields

Area18,580.6 sq m
Area1.86 hectares
Perimeter1,800 ft
Centroid X250 ft
Centroid Y200 ft
Compactness Ratio0.78
How to Use This Calculator
  1. Enter the X and Y coordinates (Northing and Easting) for each corner of the parcel in order.
  2. Add as many points as needed to trace the boundary polygon.
  3. Review the Area calculated using the Shoelace (Gauss) formula in square feet and acres.
  4. Check the Perimeter output to verify boundary closure.
  5. Export the coordinate list and area for use in a legal description or GIS shapefile.

How the result changes with X2 (Easting)

X2 (Easting)AreaArea
-80,00015,900,000 sq ft365.01 acres
-30,0005,900,000 sq ft135.45 acres
30,0006,100,000 sq ft140.04 acres
80,00016,100,000 sq ft369.61 acres

What each input means

Number of Vertices
Number of polygon corner points. Enter coordinates in order (clockwise or counter-clockwise).
X1 (Easting)
X coordinate of vertex 1.
Y1 (Northing)
Y coordinate of vertex 1.
X2 (Easting)
X coordinate of vertex 2.
Y2 (Northing)
Y coordinate of vertex 2.
X3 (Easting)
X coordinate of vertex 3.
Y3 (Northing)
Y coordinate of vertex 3.
X4 (Easting)
X coordinate of vertex 4.
Y4 (Northing)
Y coordinate of vertex 4.
X5 (Easting)
X coordinate of vertex 5.
Y5 (Northing)
Y coordinate of vertex 5.
X6 (Easting)
X coordinate of vertex 6.
Y6 (Northing)
Y coordinate of vertex 6.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Number of Vertices = 4, X1 (Easting) = 0, Y1 (Northing) = 0, X2 (Easting) = 500 = 13 input(s) provided
  2. Calculate Area
    Area
    200000 = 200000
  3. Calculate Area
    Area
    4.5914 = 4.5914
  4. Calculate Area
    Area
    18580.6 = 18580.6
  5. Calculate Area
    Area
    1.8581 = 1.8581

Engine last updated . Checked against 4 independently-derived tests — how we verify calculators.

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