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Calcimator

Traverse Calculation

Compute latitude, departure, closure error, precision ratio, and enclosed area for a 4-leg closed survey traverse.

About this calculator

This calculator runs a fixed 4-leg closed traverse through the standard latitude/departure math: each leg's Bearing and Distance are resolved into a latitude (north-south component, distance times cosine of bearing) and departure (east-west component, distance times sine of bearing), and the four legs' latitudes and departures are each summed. Total Traverse Length is the plainest of the outputs — it's simply the four Distance inputs added together, completely unaffected by any of the four Bearing values. Linear Closure Error, by contrast, is the straight-line distance between where the traverse starts and where it actually ends up after all four legs, computed from the summed latitude and departure misclosures; a perfectly closed traverse (the field crew's shots exactly matching the true shape) produces zero error, while any bearing or distance error opens a gap.

Precision Ratio expresses that gap as "1 in N" by dividing Total Traverse Length by the Closure Error, the standard way surveyors report how tight a traverse closed. Enclosed Area uses the Double Meridian Distance method on the compass-rule-adjusted coordinates: every leg's latitude and departure receives the same proportional closure-error correction first, so the running DMD sum always combines two consistently-adjusted departures (the current leg and the one before it), then multiplies by adjusted latitude to accumulate area. This tool always assumes exactly four legs and a closed loop; it cannot analyze an open traverse or one with more or fewer sides.

Inputs

°
ft
°
ft
°
ft
°
ft

Results

Linear Closure Error

0 ft

Precision Ratio

Perfect closure

Latitude Misclose-0 ft
Departure Misclose-0 ft
Closure Bearing243.43°
Total Traverse Length1,800 ft
Enclosed Area200,000 sq ft
Enclosed Area4.59 acres
How to Use This Calculator
  1. Enter the Bearing (0-360°) and Distance for each of the 4 legs of the closed traverse.
  2. Review Latitude Misclose and Departure Misclose — both should be near zero for a well-shot traverse.
  3. Check Linear Closure Error and the Precision Ratio to judge how tightly the traverse closed.
  4. Read Total Traverse Length as the simple sum of all four leg distances.
  5. Use Enclosed Area (in sq ft and acres) for parcel area, computed after the closure error is distributed across the legs.

What each input means

Bearing Leg 1
Azimuth bearing from north for leg 1 (0-360 degrees).
Distance Leg 1
Measured horizontal distance for leg 1.
Bearing Leg 2
Azimuth bearing from north for leg 2.
Distance Leg 2
Measured horizontal distance for leg 2.
Bearing Leg 3
Azimuth bearing from north for leg 3.
Distance Leg 3
Measured horizontal distance for leg 3.
Bearing Leg 4
Azimuth bearing from north for leg 4.
Distance Leg 4
Measured horizontal distance for leg 4.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Bearing Leg 1 = 45, Distance Leg 1 = 500, Bearing Leg 2 = 135, Distance Leg 2 = 400 = 8 input(s) provided
  2. Calculate Linear Closure Error
    Linear Closure Error
    0 = 0
  3. Calculate Precision Ratio
    Precision Ratio
    Perfect closure = Perfect closure
  4. Calculate Latitude Misclose
    0 = 0
  5. Calculate Departure Misclose
    0 = 0

Engine last updated . Checked against 4 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Does Total Traverse Length depend on the bearings I enter?

No — Total Traverse Length is just the four Distance values added together, and none of the four Bearing inputs affect it at all. You could enter any bearings from 0 to 360 degrees and the total length would stay exactly the same as long as the distances are unchanged.

What does a Precision Ratio like 1:8,500 mean?

It means the Linear Closure Error is roughly 1/8,500th of the Total Traverse Length — the traverse's total measured distance divided by how far off the loop closed. Higher numbers after the colon mean a tighter closure; land surveys commonly target 1:5,000 to 1:10,000 or better depending on the class of survey.

Why is the Closure Error not simply the sum of the leg distances?

Because closure error measures how far the traverse fails to return to its starting point, not how far it traveled. It's the straight-line distance between the start and the computed endpoint, derived from the summed north-south (latitude) and east-west (departure) components of all four legs — a small bearing error on a long leg can produce the same closure error as a larger error on a short one.

How is Enclosed Area calculated?

The calculator first distributes the closure error proportionally across all four legs (the compass rule), then applies the Double Meridian Distance method to the adjusted coordinates to get area in square feet, which is also converted to acres by dividing by 43,560.

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