Included Angle from Two Lines Calculator

✖Fore Bearing of Previous Line is the forward bearing measured for the line along the survey direction.ⓘ Fore Bearing of Previous Line [α]			+10% -10%
✖Back Bearing of Previous Line is the back bearing measured during compass survey for the line behind the compass.ⓘ Back Bearing of Previous Line [β]			+10% -10%

✖Included Angle is the interior angle between two lines considered.ⓘ Included Angle from Two Lines [θ]

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Included Angle from Two Lines Solution

STEP 0: Pre-Calculation Summary

Formula Used

Included Angle = Fore Bearing of Previous Line-Back Bearing of Previous Line
θ = α-β
This formula uses 3 Variables

Variables Used

Included Angle - (Measured in Radian) - Included Angle is the interior angle between two lines considered.
Fore Bearing of Previous Line - (Measured in Radian) - Fore Bearing of Previous Line is the forward bearing measured for the line along the survey direction.
Back Bearing of Previous Line - (Measured in Radian) - Back Bearing of Previous Line is the back bearing measured during compass survey for the line behind the compass.

STEP 1: Convert Input(s) to Base Unit

Fore Bearing of Previous Line: 90 Degree --> 1.5707963267946 Radian (Check conversion here)
Back Bearing of Previous Line: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = α-β --> 1.5707963267946-0.5235987755982

Evaluating ... ...

θ = 1.0471975511964

STEP 3: Convert Result to Output's Unit

1.0471975511964 Radian -->60 Degree (Check conversion here)

FINAL ANSWER

60 Degree <-- Included Angle

(Calculation completed in 00.020 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Compass Surveying Calculators

Included Angle when Bearings are Measured in Same Side of Different Meridian

LaTeX Go Included Angle = (180*pi/180)-(Fore Bearing of Previous Line+Back Bearing of Previous Line)

Included Angle when Bearings are Measured in Opposite Side of Common Meridian

LaTeX Go Included Angle when Bearings are in Opposite Side = Back Bearing of Previous Line+Fore Bearing of Previous Line

Included Angle from Two Lines

LaTeX Go Included Angle = Fore Bearing of Previous Line-Back Bearing of Previous Line

Fore Bearing in Whole Circle Bearing System

LaTeX Go Fore Bearing = (Back Bearing-(180*pi/180))

Included Angle from Two Lines Formula

LaTeX Go

Included Angle = Fore Bearing of Previous Line-Back Bearing of Previous Line
θ = α-β

How the interior angle is calculated using above equation?

In the process of calculating the included angle, if the value is a negative one, add 360° to get the actual included angle which will be the exterior included angle. When traversing is done anticlockwise, the included angles are interior, whereas in the case of clockwise traversing, these are the exterior ones. These are always measured clockwise from the preceding line to the forward line.

How to Calculate Included Angle from Two Lines?

Included Angle from Two Lines calculator uses Included Angle = Fore Bearing of Previous Line-Back Bearing of Previous Line to calculate the Included Angle, The Included Angle from Two Lines formula is defined as the interior angle made by two lines in the compass surveying. Included Angle is denoted by θ symbol.

How to calculate Included Angle from Two Lines using this online calculator? To use this online calculator for Included Angle from Two Lines, enter Fore Bearing of Previous Line (α) & Back Bearing of Previous Line (β) and hit the calculate button. Here is how the Included Angle from Two Lines calculation can be explained with given input values -> 3437.747 = 1.5707963267946-0.5235987755982.

FAQ

What is Included Angle from Two Lines?

The Included Angle from Two Lines formula is defined as the interior angle made by two lines in the compass surveying and is represented as θ = α-β or Included Angle = Fore Bearing of Previous Line-Back Bearing of Previous Line. Fore Bearing of Previous Line is the forward bearing measured for the line along the survey direction & Back Bearing of Previous Line is the back bearing measured during compass survey for the line behind the compass.

How to calculate Included Angle from Two Lines?

The Included Angle from Two Lines formula is defined as the interior angle made by two lines in the compass surveying is calculated using Included Angle = Fore Bearing of Previous Line-Back Bearing of Previous Line. To calculate Included Angle from Two Lines, you need Fore Bearing of Previous Line (α) & Back Bearing of Previous Line (β). With our tool, you need to enter the respective value for Fore Bearing of Previous Line & Back Bearing of Previous Line and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Included Angle?

In this formula, Included Angle uses Fore Bearing of Previous Line & Back Bearing of Previous Line. We can use 1 other way(s) to calculate the same, which is/are as follows -

Included Angle = (180*pi/180)-(Fore Bearing of Previous Line+Back Bearing of Previous Line)

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