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Traverse Closure Calculator

Check angular and linear closure, quantify misclosure and precision, and calculate properly distributed corrections.

Angular Closure Check

Enter the observed interior angles of a closed traverse. The calculator compares their sum with the theoretical polygon sum and distributes the angular misclosure equally.

Traverse Settings

For interior angles, the theoretical sum is (n − 2) × 180°. For a consistently directed set of exterior/deflection angles, the theoretical sum is 360°.

Observation Entry

Use decimal degrees. Minimum three angles are required. The calculator also reports the misclosure in degrees, minutes and seconds.

Observed Angles

StationObserved angle (°)Remove
Enter the observed angles to check angular closure.

Traverse closure reference

Interior-angle sum(n − 2) × 180°
Exterior-angle sum360°
Linear closure√(ΣLat² + ΣDep²)
Relative precisionPerimeter / linear error

Angular misclosure = observed sum − theoretical sum. An equal correction is −misclosure/n when observations are considered of equal weight. Linear closure is the vector error between the computed closing point and the known starting point.

Survey calculation guide

Traverse Closure Check

Check traverse closure, linear misclosure, precision and closure ratios for surveying work.

When to use this survey calculator

Closure checks help identify whether a traverse is mathematically consistent before adjustment. Investigate large misclosures rather than automatically accepting an adjusted traverse.

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