# Closed Traverse Survey Method With Example

Closed traverse in this post we will explain you closed traverse and its formulas with example .

# What is Closed traverse ?

To end point of such traverse lie at the same place . The sum of internal and external angles of closed traverse are calculated by the following formula. ## Formula of closed traverse

sum of interior angles    = (2n – 4) .900
Sum of exterior angles  = (2n + 4) .900
Where is he number of sides of the traverse
For example, if the traverse has six sides then sum of its angles is calculated by putting n=6 as
Sum of interior angles   (2n-4).900
= (2*6-4).900
=   8*900
=    720
Sum of exterior angles    = (2n + 4) .900
=(2 * 6 + 4) .900
= 16 * 900
= 14400

In example I m using Greater sign (<) instead of Angle sign (<) because in MS word or other texting program have not math’s  signs
That is Angle sign (<)

Example ;-
The bearing of line AB of a  closed traverse ABCDEA is 2110 18’ 40 “ and the following included angles will observed . determine bearings of other lines .
<A = 92 – 50’ – 20 “ ,  <B = 1090 – 55’ – 40”
<C = 940 – 38’ – 50” , <D = 1250 – 40’ – 40” ,
<E = 1160 – 54’ – 30”

Solution ;-
For bearing of line AB            = 2440 – 18’ – 40’’
Adding <B                              =1090 – 55’ – 40’’
Total                                      = 3210 – 14’ – 20’’
Subtract                                 =1800 – 00’ – 00”
Fore Bearing of line BC        = 1410 – 14’ – 20’’
Adding  <C                           = 940 – 38’ – 50’’
Total                                    = 2350 – 53’ – 10’’
Subtracting                          = 1800 – 00’ – 00”
Fore Bearing of line  CD    = 550 – 53’ – 10’’
Adding < D                          = 1250 – 40’ – 40’’
Total                                   = 1810 – 33’ – 50’’
Subtracting                         = 1800 – 00’ – 00”
Fore Bearing of line DE  =   10 – 33’ – 50’’
Adding  <E                            = 1160 – 54’ – 30’’
Total                                      = 1180 – 28’ – 20’’
Subtracting                           = 1800 – 00’ – 00”
Fore Bearing of line EA     = 2980 – 28’ – 20’’
Adding <A                                = 950 – 50’ – 20’’
Total                                       = 3910 – 18’ – 40’’
Subtracting                             = 1800 – 00’ – 00”
Bearing of line AB                 =  2110 – 18’ – 40”

Thus calculated value of the bearing of line AB Is same as give . this verifies the solution .
Note This sign (<) is using for Greater but due to available of angle sign that’s way we are using Greater sign . Greater sing is same looking like Angle sign is given below Than for reading Closed traverse if you have any problem in this post you can contact with us with the help of comment section we will reply soon as soon is possible .INSHAALLAH another post will about open traverse we will explain you all his formulas with example so visit our site and share it with you friends .