FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Included Angle from Two Lines Formula

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

Fx Copy

LaTeX Copy

Included Angle is the interior angle between two lines considered. Check FAQs

θ = α - β

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

Included Angle from Two Lines Example

With values

With units

Only example

Here is how the Included Angle from Two Lines equation looks like with Values.

Here is how the Included Angle from Two Lines equation looks like with Units.

Here is how the Included Angle from Two Lines equation looks like.

60 = 90 - 30

60° = 90° - 30°

60 = 90 - 30

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Surveying Formulas » fx Included Angle from Two Lines

Included Angle from Two Lines Solution

Follow our step by step solution on how to calculate Included Angle from Two Lines?

FIRST Step Consider the formula

θ = α - β

Next Step Substitute values of Variables

∴

θ = 90° - 30°

Next Step Convert Units

∴

θ = 1.5708rad - 0.5236rad

Next Step Prepare to Evaluate

∴

θ = 1.5708 - 0.5236

Next Step Evaluate

∴

θ = 1.0471975511964rad

LAST Step Convert to Output's Unit

∴

θ = 60°

Included Angle from Two Lines Formula Elements

Variables

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 Angle

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 Line

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 Line

Other Formulas to find Included Angle

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

θ = (180 \cdot \frac{π}{180}) - (α + β)

Other formulas in Compass Surveying category

Go Fore Bearing in Whole Circle Bearing System

FB = (BB - (180 \cdot \frac{π}{180}))

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 from Two Lines?

Included Angle from Two Lines evaluator uses Included Angle = Fore Bearing of Previous Line-Back Bearing of Previous Line to evaluate 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 evaluate Included Angle from Two Lines using this online evaluator? To use this online evaluator for Included Angle from Two Lines, enter Fore Bearing of Previous Line (α) & Back Bearing of Previous Line (β) and hit the calculate button.

FAQs on Included Angle from Two Lines

What is the formula to find Included Angle from Two Lines?

The formula of Included Angle from Two Lines is expressed as Included Angle = Fore Bearing of Previous Line-Back Bearing of Previous Line. Here is an example- 3437.747 = 1.5707963267946-0.5235987755982.

How to calculate Included Angle from Two Lines?

With Fore Bearing of Previous Line (α) & Back Bearing of Previous Line (β) we can find Included Angle from Two Lines using the formula - Included Angle = Fore Bearing of Previous Line-Back Bearing of Previous Line.

What are the other ways to Calculate Included Angle?

Here are the different ways to Calculate Included Angle-

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

Can the Included Angle from Two Lines be negative?

No, the Included Angle from Two Lines, measured in Angle cannot be negative.

Which unit is used to measure Included Angle from Two Lines?

Included Angle from Two Lines is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Included Angle from Two Lines can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Included Angle from Two Lines Formula

​GoIncluded Angle when Bearings are Measured in Same Side of Different Meridian Formula

Included Angle from Two Lines Example

Included Angle from Two Lines Solution

Included Angle from Two Lines Formula Elements

Other Formulas to find Included Angle

Other formulas in Compass Surveying category

How to Evaluate Included Angle from Two Lines?

FAQs on Included Angle from Two Lines

Variable Name

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