# 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

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