### Error and Correction in a Closed Traverse by Compass Surveying.

Hi,

A closed traverse constructed after doing a compass survey can be checked for error by a simple formula.

As per the geometry, in a closed traverse with 'n' number of sides the total sum of the interior angles = (2n-4) * 90 degrees.

Example: Consider a pentagon with five sides and five number of interior angles A, B, C, D and E.

Sum of the interior angles = (2*n - 4) *90

= (2*5 - 4) *90

= 540 degrees.

If it was a hexagon, then n= 6

and sum of interior angles would be

= (2*6 - 4)* 90 =720 degrees

Apply this check to the closed traverse at hand and see the error.

Error =

Sum of the given interior angles - (2n- 4)*90

Correction = - Error.

Generally the error is equally divided among the interior angles of the traverse. So correction for each angle = - (Error) / n

If the exterior angles are given, then the total sum of the exterior angles = (2n+4)*90

remember an exterior angle = 360- interior angle.

For example exterior angle at A = 360- Int. angle A.

Calculate the Error, E = Total Sum of exterior angle - (2n+4)*90

Correction = -E

Divide the correction equally for each angle = -E/n.

Thank You!

A closed traverse constructed after doing a compass survey can be checked for error by a simple formula.

As per the geometry, in a closed traverse with 'n' number of sides the total sum of the interior angles = (2n-4) * 90 degrees.

Example: Consider a pentagon with five sides and five number of interior angles A, B, C, D and E.

Sum of the interior angles = (2*n - 4) *90

= (2*5 - 4) *90

= 540 degrees.

If it was a hexagon, then n= 6

and sum of interior angles would be

= (2*6 - 4)* 90 =720 degrees

Apply this check to the closed traverse at hand and see the error.

Error =

Sum of the given interior angles - (2n- 4)*90

Correction = - Error.

Generally the error is equally divided among the interior angles of the traverse. So correction for each angle = - (Error) / n

If the exterior angles are given, then the total sum of the exterior angles = (2n+4)*90

remember an exterior angle = 360- interior angle.

For example exterior angle at A = 360- Int. angle A.

Calculate the Error, E = Total Sum of exterior angle - (2n+4)*90

Correction = -E

Divide the correction equally for each angle = -E/n.

Thank You!