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Crossing Length of X Shape given Bottom or Top Angle Formula

GoCrossing Length of X Shape given Inner and Outer Arm Lengths Formula

GoCrossing Length of X Shape given Perimeter Formula

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The Crossing Length of X Shape is defined as the length of the side of the rhombus formed by the intersection of planes in the X shape. Check FAQs

l Crossing = \frac{t Bar}{2} \cdot \cos e c (\frac{∠ Bottom/Top}{2})

l_Crossing - Crossing Length of X Shape?t_Bar - Bar Thickness of X Shape?∠_Bottom/Top - Bottom and Top Angle of X Shape?

Crossing Length of X Shape given Bottom or Top Angle Example

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Here is how the Crossing Length of X Shape given Bottom or Top Angle equation looks like with Values.

Here is how the Crossing Length of X Shape given Bottom or Top Angle equation looks like with Units.

Here is how the Crossing Length of X Shape given Bottom or Top Angle equation looks like.

2.6131 = \frac{2}{2} \cdot \cos e c (\frac{45}{2})

2.6131m = \frac{2m}{2} \cdot \cos e c (\frac{45°}{2})

2.6131 = \frac{2}{2} \cdot \cos e c (\frac{45}{2})

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Crossing Length of X Shape given Bottom or Top Angle Solution

Follow our step by step solution on how to calculate Crossing Length of X Shape given Bottom or Top Angle?

FIRST Step Consider the formula

l Crossing = \frac{t Bar}{2} \cdot \cos e c (\frac{∠ Bottom/Top}{2})

Next Step Substitute values of Variables

∴

l Crossing = \frac{2m}{2} \cdot \cos e c (\frac{45°}{2})

Next Step Convert Units

∴

l Crossing = \frac{2m}{2} \cdot \cos e c (\frac{0.7854rad}{2})

Next Step Prepare to Evaluate

∴

l Crossing = \frac{2}{2} \cdot \cos e c (\frac{0.7854}{2})

Next Step Evaluate

∴

l Crossing = 2.61312592975322m

LAST Step Rounding Answer

∴

l Crossing = 2.6131m

Crossing Length of X Shape given Bottom or Top Angle Formula Elements

Variables

Functions

Crossing Length of X Shape

The Crossing Length of X Shape is defined as the length of the side of the rhombus formed by the intersection of planes in the X shape.

Symbol: l_Crossing

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Crossing Length of X Shape

Bar Thickness of X Shape

Bar Thickness of X Shape is defined as the thickness of one of the bars of X Shape.

Symbol: t_Bar

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Bar Thickness of X Shape

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 Shape

sec

Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine.

Syntax: sec(Angle)

cosec

The cosecant function is a trigonometric function that is the reciprocal of the sine function.

Syntax: cosec(Angle)

Credits

Created by Devendar Kachhwaha

Indian Institute of technology (IIT-BHU), Varanasi

Devendar Kachhwaha has created this Formula and 10+ more formulas!

Verified by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has verified this Formula and 1500+ more formulas!

Other Formulas to find Crossing Length of X Shape

Go Crossing Length of X Shape given Inner and Outer Arm Lengths

l Crossing = l Outer Arm - l Inner Arm

Go Crossing Length of X Shape given Perimeter

l Crossing = t Bar + l Bar - \frac{P}{4}

Go Crossing Length of X Shape given Left or Right Angle

l Crossing = t Bar \cdot \frac{\sin (\frac{∠ Left/Right}{2})}{\sin (∠ Left/Right)}

How to Evaluate Crossing Length of X Shape given Bottom or Top Angle?

Crossing Length of X Shape given Bottom or Top Angle evaluator uses Crossing Length of X Shape = Bar Thickness of X Shape/2*cosec(Bottom and Top Angle of X Shape/2) to evaluate the Crossing Length of X Shape, The Crossing Length of X Shape given Bottom or Top Angle formula is defined as the length of the side of the rhombus formed by the intersection of planes in an X shape, calculated using the bottom or top angle of the X Shape. Crossing Length of X Shape is denoted by l_Crossing symbol.

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

FAQs on Crossing Length of X Shape given Bottom or Top Angle

What is the formula to find Crossing Length of X Shape given Bottom or Top Angle?

The formula of Crossing Length of X Shape given Bottom or Top Angle is expressed as Crossing Length of X Shape = Bar Thickness of X Shape/2*cosec(Bottom and Top Angle of X Shape/2). Here is an example- 2.613126 = 2/2*cosec(0.785398163397301/2).

How to calculate Crossing Length of X Shape given Bottom or Top Angle?

With Bar Thickness of X Shape (t_Bar) & Bottom and Top Angle of X Shape (∠_Bottom/Top) we can find Crossing Length of X Shape given Bottom or Top Angle using the formula - Crossing Length of X Shape = Bar Thickness of X Shape/2*cosec(Bottom and Top Angle of X Shape/2). This formula also uses Secant (sec), Cosecant (cosec) function(s).

What are the other ways to Calculate Crossing Length of X Shape?

Here are the different ways to Calculate Crossing Length of X Shape-

Crossing Length of X Shape=Outer Arm Length of X Shape-Inner Arm Length of X Shape
Crossing Length of X Shape=Bar Thickness of X Shape+Bar Length of X Shape-Perimeter of X Shape/4
Crossing Length of X Shape=Bar Thickness of X Shape*sin(Left and Right Angle of X Shape/2)/sin(Left and Right Angle of X Shape)

Can the Crossing Length of X Shape given Bottom or Top Angle be negative?

No, the Crossing Length of X Shape given Bottom or Top Angle, measured in Length cannot be negative.

Which unit is used to measure Crossing Length of X Shape given Bottom or Top Angle?

Crossing Length of X Shape given 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 Crossing Length of X Shape given Bottom or Top Angle can be measured.

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