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Surveyor's Formula
Quandaries and Queries


Our surveyor's formula tool is derived from the surveyor's formula described by Chris Fisher in response to a question on finding the area of a polygon. It was implementated in an Excel spreadsheet by Stephen La Rocque.

To use this tool your property needs to have the shape of a polygon, and you need the lengths of the sides and their bearings. The most likely place to find these dimensions is on a surveyor's drawing.


Input the side lengths and bearings going around the property in a counterclockwise direction as in the example below.


The column labeled dir for direction should have the value CW or CCW depending on whether the bearings are measured in a clockwise or counterclockwise direction.

You can download the Excel spreadsheet, view the above example in its entirety, or view the 17 sided lot that motivated Stephen to construct the spreadsheet.




Math Central is supported by the University of Regina and the Imperial Oil Foundation.

* Registered trade mark of Imperial Oil Limited. Used under license.


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