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Area of X Shape given left angle and crossing length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area = (2*Length*Thickness*sin(Left angle))-(((Crossing Length)^2)*sin(Left angle))
A = (2*L*t*sin(AngleLeft))-(((LCrossing)^2)*sin(AngleLeft))
This formula uses 1 Functions, 4 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
Thickness - Thickness is the distance through an object. (Measured in Meter)
Left angle - The Left angle is the left most angle of the given geometry. (Measured in Radian)
Crossing Length - Crossing Length is the intersection length of the two planes of the given geometry. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Length: 3 Meter --> 3 Meter No Conversion Required
Thickness: 1 Meter --> 1 Meter No Conversion Required
Left angle: 2.614 Radian --> 2.614 Radian No Conversion Required
Crossing Length: 1 Meter --> 1 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (2*L*t*sin(AngleLeft))-(((LCrossing)^2)*sin(AngleLeft)) --> (2*3*1*sin(2.614))-(((1)^2)*sin(2.614))
Evaluating ... ...
A = 2.51727401422475
STEP 3: Convert Result to Output's Unit
2.51727401422475 Square Meter --> No Conversion Required
FINAL ANSWER
2.51727401422475 Square Meter <-- Area
(Calculation completed in 00.000 seconds)

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

Area of X Shape given left angle and crossing length Formula

Area = (2*Length*Thickness*sin(Left angle))-(((Crossing Length)^2)*sin(Left angle))
A = (2*L*t*sin(AngleLeft))-(((LCrossing)^2)*sin(AngleLeft))

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 Area of X Shape given left angle and crossing length?

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

How to calculate Area of X Shape given left angle and crossing length using this online calculator? To use this online calculator for Area of X Shape given left angle and crossing length, enter Length (L), Thickness (t), Left angle (AngleLeft) & Crossing Length (LCrossing) and hit the calculate button. Here is how the Area of X Shape given left angle and crossing length calculation can be explained with given input values -> 2.517274 = (2*3*1*sin(2.614))-(((1)^2)*sin(2.614)).

FAQ

What is Area of X Shape given left angle and crossing length?
The Area of X Shape given left angle and crossing length formula is defined as the total space occupied by the X Shape in 2D space, calculated using left angle and crossing length and is represented as A = (2*L*t*sin(AngleLeft))-(((LCrossing)^2)*sin(AngleLeft)) or Area = (2*Length*Thickness*sin(Left angle))-(((Crossing Length)^2)*sin(Left angle)). Length is the measurement or extent of something from end to end, Thickness is the distance through an object, The Left angle is the left most angle of the given geometry & Crossing Length is the intersection length of the two planes of the given geometry.
How to calculate Area of X Shape given left angle and crossing length?
The Area of X Shape given left angle and crossing length formula is defined as the total space occupied by the X Shape in 2D space, calculated using left angle and crossing length is calculated using Area = (2*Length*Thickness*sin(Left angle))-(((Crossing Length)^2)*sin(Left angle)). To calculate Area of X Shape given left angle and crossing length, you need Length (L), Thickness (t), Left angle (AngleLeft) & Crossing Length (LCrossing). With our tool, you need to enter the respective value for Length, Thickness, Left angle & Crossing Length 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?
In this formula, Area uses Length, Thickness, Left angle & Crossing Length. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Area = (2*Length*Thickness*sin(Top angle))-(((Crossing Length)^2)*sin(Top angle))
  • Area = (2*Length*Thickness*sin(Top angle))-(((Thickness^2)/2)*cot(Top angle/2))
  • Area = (2*Length*Thickness*sin(Bottom angle))-((((Thickness)^2)*cot(Bottom angle/2))/2)
  • Area = 2*Length*Thickness*sin(Right angle)-(Thickness*sin(Right angle/2)/sin(Right angle))^2*sin(Right angle)
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