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Width of X Shape given Inner Arm Length and Bottom or Top Angle Formula

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The Width of X Shape is the measurement or extent of X Shape from side to side. Check FAQs
w=(2⋅lInner Arm⋅sin(∠Bottom/Top2))+(2⋅tBar)
w - Width of X Shape?lInner Arm - Inner Arm Length of X Shape?∠Bottom/Top - Bottom and Top Angle of X Shape?tBar - Bar Thickness of X Shape?

Width of X Shape given Inner Arm Length and Bottom or Top Angle Example

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With units
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Here is how the Width of X Shape given Inner Arm Length and Bottom or Top Angle equation looks like with Values.

Here is how the Width of X Shape given Inner Arm Length and Bottom or Top Angle equation looks like with Units.

Here is how the Width of X Shape given Inner Arm Length and Bottom or Top Angle equation looks like.

9.3576Edit=(2⋅7Edit⋅sin(45Edit2))+(2⋅2Edit)
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Width of X Shape given Inner Arm Length and Bottom or Top Angle Solution

Follow our step by step solution on how to calculate Width of X Shape given Inner Arm Length and Bottom or Top Angle?

FIRST Step Consider the formula
w=(2⋅lInner Arm⋅sin(∠Bottom/Top2))+(2⋅tBar)
Next Step Substitute values of Variables
∴ w=(2⋅7m⋅sin(45°2))+(2⋅2m)
Next Step Convert Units
∴ w=(2⋅7m⋅sin(0.7854rad2))+(2⋅2m)
Next Step Prepare to Evaluate
∴ w=(2⋅7⋅sin(0.78542))+(2⋅2)
Next Step Evaluate
∴w=9.3575680531103m
LAST Step Rounding Answer
∴w=9.3576m

Width of X Shape given Inner Arm Length and Bottom or Top Angle Formula Elements

Variables
Functions
Width of X Shape
The Width of X Shape is the measurement or extent of X Shape from side to side.
Symbol: w
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Width of X ShapeOpen Variable
Inner Arm Length of X Shape
The Inner Arm Length of X Shape is the length of the inner arm of the X Shape.
Symbol: lInner Arm
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Inner Arm Length of X ShapeOpen Variable
Bottom and Top Angle of X Shape
The Bottom and Top Angle of X Shape are the bottom-most and top-most angles of the X-Shape formed due to the intersection of two bars forming the X-Shape.
Symbol: ∠Bottom/Top
Measurement: AngleUnit: °
Note: Value should be between 0 to 180.
Formulas to find Bottom and Top Angle of X ShapeOpen Variable
Bar Thickness of X Shape
Bar Thickness of X Shape is defined as the thickness of one of the bars of X Shape.
Symbol: tBar
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Bar Thickness of X ShapeOpen Variable
sin
Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.
Syntax: sin(Angle)

How to Evaluate Width of X Shape given Inner Arm Length and Bottom or Top Angle?

Width of X Shape given Inner Arm Length and Bottom or Top Angle evaluator uses Width of X Shape = (2*Inner Arm Length of X Shape*sin(Bottom and Top Angle of X Shape/2))+(2*Bar Thickness of X Shape) to evaluate the Width of X Shape, The Width of X Shape given Inner Arm Length and Bottom or Top Angle is defined as the measurement or extent of X Shape from side to side, calculated using its inner arm length and bottom or top angle. Width of X Shape is denoted by w symbol.

How to evaluate Width of X Shape given Inner Arm Length and Bottom or Top Angle using this online evaluator? To use this online evaluator for Width of X Shape given Inner Arm Length and Bottom or Top Angle, enter Inner Arm Length of X Shape (lInner Arm), Bottom and Top Angle of X Shape (∠Bottom/Top) & Bar Thickness of X Shape (tBar) and hit the calculate button.

FAQs on Width of X Shape given Inner Arm Length and Bottom or Top Angle

What is the formula to find Width of X Shape given Inner Arm Length and Bottom or Top Angle?
The formula of Width of X Shape given Inner Arm Length and Bottom or Top Angle is expressed as Width of X Shape = (2*Inner Arm Length of X Shape*sin(Bottom and Top Angle of X Shape/2))+(2*Bar Thickness of X Shape). Here is an example- 9.357568 = (2*7*sin(0.785398163397301/2))+(2*2).
How to calculate Width of X Shape given Inner Arm Length and Bottom or Top Angle?
With Inner Arm Length of X Shape (lInner Arm), Bottom and Top Angle of X Shape (∠Bottom/Top) & Bar Thickness of X Shape (tBar) we can find Width of X Shape given Inner Arm Length and Bottom or Top Angle using the formula - Width of X Shape = (2*Inner Arm Length of X Shape*sin(Bottom and Top Angle of X Shape/2))+(2*Bar Thickness of X Shape). This formula also uses Sine function(s).
Can the Width of X Shape given Inner Arm Length and Bottom or Top Angle be negative?
No, the Width of X Shape given Inner Arm Length and Bottom or Top Angle, measured in Length cannot be negative.
Which unit is used to measure Width of X Shape given Inner Arm Length and Bottom or Top Angle?
Width of X Shape given Inner Arm Length and Bottom or Top Angle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Width of X Shape given Inner Arm Length and Bottom or Top Angle can be measured.
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