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Crossing Length of X Shape given bottom angle Calculator

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Geometry2D Geometry ↺
2D GeometryX Shape ↺
✖Thickness is the distance through an object.ⓘ Thickness [t]
+10%
-10%
✖The bottom angle is the bottom most angle of the given geometry.ⓘ Bottom angle [AngleBottom]
+10%
-10%
✖Crossing Length is the intersection length of the two planes of the given geometry.ⓘ Crossing Length of X Shape given bottom angle [LCrossing]
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Credits

Devendar Kachhwaha
Indian Institute of technology (IIT-BHU), Varanasi
Devendar Kachhwaha has created this Calculator and 25+ more calculators!
Nayana Phulphagar
Institute of chartered and financial Analysts of India National college (ICFAI National college), HUBLI
Nayana Phulphagar has verified this Calculator and 25+ more calculators!

Crossing Length of X Shape given bottom angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Crossing Length = Thickness*sin(pi/2-Bottom angle/2)/sin(Bottom angle)
LCrossing = t*sin(pi/2-AngleBottom/2)/sin(AngleBottom)
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Thickness - Thickness is the distance through an object. (Measured in Meter)
Bottom angle - The bottom angle is the bottom most angle of the given geometry. (Measured in Radian)
STEP 1: Convert Input(s) to Base Unit
Thickness: 1 Meter --> 1 Meter No Conversion Required
Bottom angle: 0.528 Radian --> 0.528 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
LCrossing = t*sin(pi/2-AngleBottom/2)/sin(AngleBottom) --> 1*sin(pi/2-0.528/2)/sin(0.528)
Evaluating ... ...
LCrossing = 1.91611960440825
STEP 3: Convert Result to Output's Unit
1.91611960440825 Meter --> No Conversion Required
FINAL ANSWER
1.91611960440825 Meter <-- Crossing Length
(Calculation completed in 00.000 seconds)
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10+ X Shape Calculators

Perimeter of X Shape
Perimeter = 4*(Thickness+Length-Thickness*sin(pi/2-atan(Width/Height))/sin(pi-2*atan(Width/Height))) Go
Inner arm length of X Shape
Inner arm length = Length/2-Thickness*sin(pi/2-atan(Width/Height))/sin(pi-2*atan(Width/Height)) Go
Crossing length of X Shape
Crossing Length = Thickness*sin(pi/2-atan(Width/Height))/sin(pi-2*atan(Width/Height)) Go
Area of X Shape given crossing length
Area = (2*Length*Thickness*sin(Top angle))-(((Crossing Length)^2)*sin(Top angle)) Go
Crossing length of X Shape given top angle
Crossing Length = (Thickness/2)*cosec(Top angle/2) Go
Bottom angle of X Shape
Bottom angle = 2*atan(Width/Height) Go
Right angle of X Shape
Right angle = 2*atan(Height/Width) Go
Left angle of X Shape
Left angle = 2*atan(Height/Width) Go
Top angle of X Shape
Top angle = 2*atan(Width/Height) Go
Outer arm length of X Shape
Outer Arm Length = Length/2 Go

Crossing Length of X Shape given bottom angle Formula

Crossing Length = Thickness*sin(pi/2-Bottom angle/2)/sin(Bottom angle)
LCrossing = t*sin(pi/2-AngleBottom/2)/sin(AngleBottom)

What is X Shape?

When a parallelogram shaped bar is reflected and connected with the original bar in the center, then the formed shape is known as X Shape.

How to Calculate Crossing Length of X Shape given bottom angle?

Crossing Length of X Shape given bottom angle calculator uses Crossing Length = Thickness*sin(pi/2-Bottom angle/2)/sin(Bottom angle) to calculate the Crossing Length, The Crossing Length of X Shape given bottom angle formula is defined as the length of side of rhombus formed by intersection of two planes in X shape, calculated using the bottom angle. Crossing Length is denoted by LCrossing symbol.

How to calculate Crossing Length of X Shape given bottom angle using this online calculator? To use this online calculator for Crossing Length of X Shape given bottom angle, enter Thickness (t) & Bottom angle (AngleBottom) and hit the calculate button. Here is how the Crossing Length of X Shape given bottom angle calculation can be explained with given input values -> 1.91612 = 1*sin(pi/2-0.528/2)/sin(0.528).

FAQ

What is Crossing Length of X Shape given bottom angle?
The Crossing Length of X Shape given bottom angle formula is defined as the length of side of rhombus formed by intersection of two planes in X shape, calculated using the bottom angle and is represented as LCrossing = t*sin(pi/2-AngleBottom/2)/sin(AngleBottom) or Crossing Length = Thickness*sin(pi/2-Bottom angle/2)/sin(Bottom angle). Thickness is the distance through an object & The bottom angle is the bottom most angle of the given geometry.
How to calculate Crossing Length of X Shape given bottom angle?
The Crossing Length of X Shape given bottom angle formula is defined as the length of side of rhombus formed by intersection of two planes in X shape, calculated using the bottom angle is calculated using Crossing Length = Thickness*sin(pi/2-Bottom angle/2)/sin(Bottom angle). To calculate Crossing Length of X Shape given bottom angle, you need Thickness (t) & Bottom angle (AngleBottom). With our tool, you need to enter the respective value for Thickness & Bottom angle 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 Crossing Length?
In this formula, Crossing Length uses Thickness & Bottom angle. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Crossing Length = Thickness*sin(pi/2-atan(Width/Height))/sin(pi-2*atan(Width/Height))
  • Crossing Length = (Thickness/2)*cosec(Top angle/2)
  • Crossing Length = Outer Arm Length-Inner arm length
  • Crossing Length = Thickness+Length-Perimeter/4
  • Crossing Length = Thickness*sin(Right angle/2)/sin(Right angle)
  • Crossing Length = Thickness*sin(Left angle/2)/sin(Left angle)
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