Area of X Shape given Left or Right Angle Calculator

✖Bar Length of X Shape is defined as the length of one bar out of two bars of X Shape.ⓘ Bar Length of X Shape [l_Bar]			+10% -10%
✖Bar Thickness of X Shape is defined as the thickness of one of the bars of X Shape.ⓘ Bar Thickness of X Shape [t_Bar]			+10% -10%
✖The Left and Right Angle of x Shape is the right and left angles of the X Shape, formed due to the intersection of two parallelogram-shaped bars.ⓘ Left and Right Angle of X Shape [∠_Left/Right]			+10% -10%

✖The Area of X Shape is defined as the total area enclosed inside the X Shape.ⓘ Area of X Shape given Left or Right Angle [A]

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Formula

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Area of X Shape given Left or Right Angle

Formula

`"A" = (2*"l"_{"Bar"}*"t"_{"Bar"}*sin("∠"_{"Left/Right"}))-("t"_{"Bar"}*sin("∠"_{"Left/Right"}/2))^2/sin("∠"_{"Left/Right"})`

Example

`"51.74012m²"=(2*"20m"*"2m"*sin("135°"))-("2m"*sin("135°"/2))^2/sin("135°")`

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Area of X Shape given Left or Right Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of X Shape = (2*Bar Length of X Shape*Bar Thickness of X Shape*sin(Left and Right Angle of X Shape))-(Bar Thickness of X Shape*sin(Left and Right Angle of X Shape/2))^2/sin(Left and Right Angle of X Shape)
A = (2*l_Bar*t_Bar*sin(∠_Left/Right))-(t_Bar*sin(∠_Left/Right/2))^2/sin(∠_Left/Right)
This formula uses 1 Functions, 4 Variables

Functions Used

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., sin(Angle)

Variables Used

Area of X Shape - (Measured in Square Meter) - The Area of X Shape is defined as the total area enclosed inside the X Shape.
Bar Length of X Shape - (Measured in Meter) - Bar Length of X Shape is defined as the length of one bar out of two bars of X Shape.
Bar Thickness of X Shape - (Measured in Meter) - Bar Thickness of X Shape is defined as the thickness of one of the bars of X Shape.
Left and Right Angle of X Shape - (Measured in Radian) - The Left and Right Angle of x Shape is the right and left angles of the X Shape, formed due to the intersection of two parallelogram-shaped bars.

STEP 1: Convert Input(s) to Base Unit

Bar Length of X Shape: 20 Meter --> 20 Meter No Conversion Required
Bar Thickness of X Shape: 2 Meter --> 2 Meter No Conversion Required
Left and Right Angle of X Shape: 135 Degree --> 2.3561944901919 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (2*l_Bar*t_Bar*sin(∠_Left/Right))-(t_Bar*sin(∠_Left/Right/2))^2/sin(∠_Left/Right) --> (2*20*2*sin(2.3561944901919))-(2*sin(2.3561944901919/2))^2/sin(2.3561944901919)

Evaluating ... ...

A = 51.7401153702058

STEP 3: Convert Result to Output's Unit

51.7401153702058 Square Meter --> No Conversion Required

FINAL ANSWER

51.7401153702058 ≈ 51.74012 Square Meter <-- Area of X Shape

(Calculation completed in 00.004 seconds)

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Created by Devendar Kachhwaha

Indian Institute of technology (IIT-BHU), Varanasi

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< 2 Area of X Shape Calculators

Area of X Shape given Left or Right Angle

Go Area of X Shape = (2*Bar Length of X Shape*Bar Thickness of X Shape*sin(Left and Right Angle of X Shape))-(Bar Thickness of X Shape*sin(Left and Right Angle of X Shape/2))^2/sin(Left and Right Angle of X Shape)

Area of X Shape given Bottom or Top Angle

Go Area of X Shape = (2*Bar Length of X Shape*Bar Thickness of X Shape*sin(Bottom and Top Angle of X Shape))-((Bar Thickness of X Shape^2)/2*cot(Bottom and Top Angle of X Shape/2))

Area of X Shape given Left or Right Angle Formula

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 Area of X Shape given Left or Right Angle?

Area of X Shape given Left or Right Angle calculator uses Area of X Shape = (2*Bar Length of X Shape*Bar Thickness of X Shape*sin(Left and Right Angle of X Shape))-(Bar Thickness of X Shape*sin(Left and Right Angle of X Shape/2))^2/sin(Left and Right Angle of X Shape) to calculate the Area of X Shape, The Area of X Shape given Left or Right Angle formula is defined as the total space occupied by the X Shape in 2D space, calculated using the left or right angle of the X Shape. Area of X Shape is denoted by A symbol.

How to calculate Area of X Shape given Left or Right Angle using this online calculator? To use this online calculator for Area of X Shape given Left or Right Angle, enter Bar Length of X Shape (l_Bar), Bar Thickness of X Shape (t_Bar) & Left and Right Angle of X Shape (∠_Left/Right) and hit the calculate button. Here is how the Area of X Shape given Left or Right Angle calculation can be explained with given input values -> 51.74012 = (2*20*2*sin(2.3561944901919))-(2*sin(2.3561944901919/2))^2/sin(2.3561944901919).

FAQ

What is Area of X Shape given Left or Right Angle?

The Area of X Shape given Left or Right Angle formula is defined as the total space occupied by the X Shape in 2D space, calculated using the left or right angle of the X Shape and is represented as A = (2*l_Bar*t_Bar*sin(∠_Left/Right))-(t_Bar*sin(∠_Left/Right/2))^2/sin(∠_Left/Right) or Area of X Shape = (2*Bar Length of X Shape*Bar Thickness of X Shape*sin(Left and Right Angle of X Shape))-(Bar Thickness of X Shape*sin(Left and Right Angle of X Shape/2))^2/sin(Left and Right Angle of X Shape). Bar Length of X Shape is defined as the length of one bar out of two bars of X Shape, Bar Thickness of X Shape is defined as the thickness of one of the bars of X Shape & The Left and Right Angle of x Shape is the right and left angles of the X Shape, formed due to the intersection of two parallelogram-shaped bars.

How to calculate Area of X Shape given Left or Right Angle?

The Area of X Shape given Left or Right Angle formula is defined as the total space occupied by the X Shape in 2D space, calculated using the left or right angle of the X Shape is calculated using Area of X Shape = (2*Bar Length of X Shape*Bar Thickness of X Shape*sin(Left and Right Angle of X Shape))-(Bar Thickness of X Shape*sin(Left and Right Angle of X Shape/2))^2/sin(Left and Right Angle of X Shape). To calculate Area of X Shape given Left or Right Angle, you need Bar Length of X Shape (l_Bar), Bar Thickness of X Shape (t_Bar) & Left and Right Angle of X Shape (∠_Left/Right). With our tool, you need to enter the respective value for Bar Length of X Shape, Bar Thickness of X Shape & Left and Right Angle of X Shape 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 Area of X Shape?

In this formula, Area of X Shape uses Bar Length of X Shape, Bar Thickness of X Shape & Left and Right Angle of X Shape. We can use 1 other way(s) to calculate the same, which is/are as follows -

Area of X Shape = (2*Bar Length of X Shape*Bar Thickness of X Shape*sin(Bottom and Top Angle of X Shape))-((Bar Thickness of X Shape^2)/2*cot(Bottom and Top Angle of X Shape/2))

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