Width of X Shape Calculator

Main Category	Math ↺
Math	Geometry ↺
Geometry	2D Geometry ↺
2D Geometry	X Shape ↺

✖Inner arm length is the inner length of the arm of the given geometry.ⓘ Inner arm length [L_{Inner_Arm}]			+10% -10%
✖The Top angle is the top most angle of the Geometry.ⓘ Top angle [Angle_Top]			+10% -10%
✖Thickness is the distance through an object.ⓘ Thickness [t]			+10% -10%

✖Width is the measurement or extent of something from side to side.ⓘ Width of X Shape [w]

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Credits

Devendar Kachhwaha

Indian Institute of technology (IIT-BHU), Varanasi

Devendar Kachhwaha has created this Calculator and 25+ more calculators!

Jaseem K

IIT Madras (IIT Madras), Chennai

Jaseem K has verified this Calculator and 50+ more calculators!

Width of X Shape Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width = (2*Inner arm length*sin(Top angle/2))+(2*Thickness)
w = (2*L_{Inner_Arm}*sin(Angle_Top/2))+(2*t)
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Trigonometric sine function, sin(Angle)

Variables Used

Inner arm length - Inner arm length is the inner length of the arm of the given geometry. (Measured in Meter)
Top angle - The Top angle is the top most angle of the Geometry. (Measured in Radian)
Thickness - Thickness is the distance through an object. (Measured in Meter)

STEP 1: Convert Input(s) to Base Unit

Inner arm length: 0.51 Meter --> 0.51 Meter No Conversion Required
Top angle: 0.528 Radian --> 0.528 Radian No Conversion Required
Thickness: 1 Meter --> 1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = (2*L_{Inner_Arm}*sin(Angle_Top/2))+(2*t) --> (2*0.51*sin(0.528/2))+(2*1)

Evaluating ... ...

w = 2.26616292575197

STEP 3: Convert Result to Output's Unit

2.26616292575197 Meter --> No Conversion Required

FINAL ANSWER

2.26616292575197 Meter <-- Width

(Calculation completed in 00.010 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

Width of X Shape Formula

Width = (2*Inner arm length*sin(Top angle/2))+(2*Thickness)
w = (2*L_{Inner_Arm}*sin(Angle_Top/2))+(2*t)

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. The intersection of both bars is a rhombus of which side length is called crossing length.

How to Calculate Width of X Shape?

Width of X Shape calculator uses Width = (2*Inner arm length*sin(Top angle/2))+(2*Thickness) to calculate the Width, The Width of X Shape is defined as the total horizontal length covered by the whole X Shape geometry. Width is denoted by w symbol.

How to calculate Width of X Shape using this online calculator? To use this online calculator for Width of X Shape, enter Inner arm length (L_{Inner_Arm}), Top angle (Angle_Top) & Thickness (t) and hit the calculate button. Here is how the Width of X Shape calculation can be explained with given input values -> 2.266163 = (2*0.51*sin(0.528/2))+(2*1).

FAQ

What is Width of X Shape?

The Width of X Shape is defined as the total horizontal length covered by the whole X Shape geometry and is represented as w = (2*L_{Inner_Arm}*sin(Angle_Top/2))+(2*t) or Width = (2*Inner arm length*sin(Top angle/2))+(2*Thickness). Inner arm length is the inner length of the arm of the given geometry, The Top angle is the top most angle of the Geometry & Thickness is the distance through an object.

How to calculate Width of X Shape?

The Width of X Shape is defined as the total horizontal length covered by the whole X Shape geometry is calculated using Width = (2*Inner arm length*sin(Top angle/2))+(2*Thickness). To calculate Width of X Shape, you need Inner arm length (L_{Inner_Arm}), Top angle (Angle_Top) & Thickness (t). With our tool, you need to enter the respective value for Inner arm length, Top angle & Thickness and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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