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Included Angle is the interior angle between two lines considered. Check FAQs
θ=(180⋅π180)-(α+β)
θ - Included Angle?α - Fore Bearing of Previous Line?β - Back Bearing of Previous Line?π - Archimedes' constant?

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

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With units
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Here is how the Included Angle when Bearings are Measured in Same Side of Different Meridian equation looks like with Values.

Here is how the Included Angle when Bearings are Measured in Same Side of Different Meridian equation looks like with Units.

Here is how the Included Angle when Bearings are Measured in Same Side of Different Meridian equation looks like.

60Edit=(180⋅3.1416180)-(90Edit+30Edit)
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HomeIcon Home » Category Engineering » Category Civil » Category Surveying Formulas » fx Included Angle when Bearings are Measured in Same Side of Different Meridian

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

Follow our step by step solution on how to calculate Included Angle when Bearings are Measured in Same Side of Different Meridian?

FIRST Step Consider the formula
θ=(180⋅π180)-(α+β)
Next Step Substitute values of Variables
∴ θ=(180⋅π180)-(90°+30°)
Next Step Substitute values of Constants
∴ θ=(180⋅3.1416180)-(90°+30°)
Next Step Convert Units
∴ θ=(180⋅3.1416180)-(1.5708rad+0.5236rad)
Next Step Prepare to Evaluate
∴ θ=(180⋅3.1416180)-(1.5708+0.5236)
Next Step Evaluate
∴θ=1.04719755119699rad
Next Step Convert to Output's Unit
∴θ=60.0000000000339°
LAST Step Rounding Answer
∴θ=60°

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

Variables
Constants
Included Angle
Included Angle is the interior angle between two lines considered.
Symbol: θ
Measurement: AngleUnit: °
Note: Value should be greater than 0.
Formulas to find Included AngleOpen Variable
Fore Bearing of Previous Line
Fore Bearing of Previous Line is the forward bearing measured for the line along the survey direction.
Symbol: α
Measurement: AngleUnit: °
Note: Value should be greater than 0.
Formulas to find Fore Bearing of Previous LineOpen Variable
Back Bearing of Previous Line
Back Bearing of Previous Line is the back bearing measured during compass survey for the line behind the compass.
Symbol: β
Measurement: AngleUnit: °
Note: Value should be greater than 0.
Formulas to find Back Bearing of Previous LineOpen Variable
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288

Other Formulas to find Included Angle

​Go Included Angle from Two Lines
θ=α-β

Other formulas in Compass Surveying category

​Go Fore Bearing in Whole Circle Bearing System
FB=(BB-(180⋅π180))
​Go Included Angle when Bearings are Measured in Opposite Side of Common Meridian
θ,=β+α
​Go True Bearing if Declination is in East
TB=MB+MD
​Go True Bearing if Declination is in West
TB=MB-MD

How to Evaluate Included Angle when Bearings are Measured in Same Side of Different Meridian?

Included Angle when Bearings are Measured in Same Side of Different Meridian evaluator uses Included Angle = (180*pi/180)-(Fore Bearing of Previous Line+Back Bearing of Previous Line) to evaluate the Included Angle, The Included Angle when Bearings are Measured in Same Side of Different Meridian formula is defined as the interior angle determined if the two lines lie on the same side of the common meridian (the vertical separation). Included Angle is denoted by θ symbol.

How to evaluate Included Angle when Bearings are Measured in Same Side of Different Meridian using this online evaluator? To use this online evaluator for Included Angle when Bearings are Measured in Same Side of Different Meridian, enter Fore Bearing of Previous Line (α) & Back Bearing of Previous Line (β) and hit the calculate button.

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

What is the formula to find Included Angle when Bearings are Measured in Same Side of Different Meridian?
The formula of Included Angle when Bearings are Measured in Same Side of Different Meridian is expressed as Included Angle = (180*pi/180)-(Fore Bearing of Previous Line+Back Bearing of Previous Line). Here is an example- 3437.747 = (180*pi/180)-(1.5707963267946+0.5235987755982).
How to calculate Included Angle when Bearings are Measured in Same Side of Different Meridian?
With Fore Bearing of Previous Line (α) & Back Bearing of Previous Line (β) we can find Included Angle when Bearings are Measured in Same Side of Different Meridian using the formula - Included Angle = (180*pi/180)-(Fore Bearing of Previous Line+Back Bearing of Previous Line). This formula also uses Archimedes' constant .
What are the other ways to Calculate Included Angle?
Here are the different ways to Calculate Included Angle-
  • Included Angle=Fore Bearing of Previous Line-Back Bearing of Previous LineOpenImg
Can the Included Angle when Bearings are Measured in Same Side of Different Meridian be negative?
No, the Included Angle when Bearings are Measured in Same Side of Different Meridian, measured in Angle cannot be negative.
Which unit is used to measure Included Angle when Bearings are Measured in Same Side of Different Meridian?
Included Angle when Bearings are Measured in Same Side of Different Meridian is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Included Angle when Bearings are Measured in Same Side of Different Meridian can be measured.
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