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Crossing Length of X Shape given right angle Calculator

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Geometry2D Geometry ↺
2D GeometryX Shape ↺
✖Thickness is the distance through an object.ⓘ Thickness [t]
+10%
-10%
✖The Right angle is the rightmost angle in the given geometry.ⓘ Right angle [AngleRight]
+10%
-10%
✖Crossing Length is the intersection length of the two planes of the given geometry.ⓘ Crossing Length of X Shape given right 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 right angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Crossing Length = Thickness*sin(Right angle/2)/sin(Right angle)
LCrossing = t*sin(AngleRight/2)/sin(AngleRight)
This formula uses 1 Functions, 2 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Thickness - Thickness is the distance through an object. (Measured in Meter)
Right angle - The Right angle is the rightmost angle in the given geometry. (Measured in Radian)
STEP 1: Convert Input(s) to Base Unit
Thickness: 1 Meter --> 1 Meter No Conversion Required
Right angle: 2.614 Radian --> 2.614 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
LCrossing = t*sin(AngleRight/2)/sin(AngleRight) --> 1*sin(2.614/2)/sin(2.614)
Evaluating ... ...
LCrossing = 1.91756449514646
STEP 3: Convert Result to Output's Unit
1.91756449514646 Meter --> No Conversion Required
FINAL ANSWER
1.91756449514646 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 right angle Formula

Crossing Length = Thickness*sin(Right angle/2)/sin(Right angle)
LCrossing = t*sin(AngleRight/2)/sin(AngleRight)

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 right angle?

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

How to calculate Crossing Length of X Shape given right angle using this online calculator? To use this online calculator for Crossing Length of X Shape given right angle, enter Thickness (t) & Right angle (AngleRight) and hit the calculate button. Here is how the Crossing Length of X Shape given right angle calculation can be explained with given input values -> 1.917564 = 1*sin(2.614/2)/sin(2.614).

FAQ

What is Crossing Length of X Shape given right angle?
The Crossing Length of X Shape given right angle formula is defined as the length of side of rhombus formed by intersection of planes in X shape and is represented as LCrossing = t*sin(AngleRight/2)/sin(AngleRight) or Crossing Length = Thickness*sin(Right angle/2)/sin(Right angle). Thickness is the distance through an object & The Right angle is the rightmost angle in the given geometry.
How to calculate Crossing Length of X Shape given right angle?
The Crossing Length of X Shape given right angle formula is defined as the length of side of rhombus formed by intersection of planes in X shape is calculated using Crossing Length = Thickness*sin(Right angle/2)/sin(Right angle). To calculate Crossing Length of X Shape given right angle, you need Thickness (t) & Right angle (AngleRight). With our tool, you need to enter the respective value for Thickness & Right 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 & Right 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(pi/2-Bottom angle/2)/sin(Bottom angle)
  • Crossing Length = Thickness*sin(Left angle/2)/sin(Left angle)
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