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Area of X Shape given bottom angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area = (2*Length*Thickness*sin(Bottom angle))-((((Thickness)^2)*cot(Bottom angle/2))/2)
A = (2*L*t*sin(AngleBottom))-((((t)^2)*cot(AngleBottom/2))/2)
This formula uses 2 Functions, 3 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
cot - Trigonometric cotangent function, cot(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)
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
Length: 3 Meter --> 3 Meter No Conversion Required
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
A = (2*L*t*sin(AngleBottom))-((((t)^2)*cot(AngleBottom/2))/2) --> (2*3*1*sin(0.528))-((((1)^2)*cot(0.528/2))/2)
Evaluating ... ...
A = 1.1731067170978
STEP 3: Convert Result to Output's Unit
1.1731067170978 Square Meter --> No Conversion Required
FINAL ANSWER
1.1731067170978 Square Meter <-- Area
(Calculation completed in 00.016 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 bottom angle Formula

Area = (2*Length*Thickness*sin(Bottom angle))-((((Thickness)^2)*cot(Bottom angle/2))/2)
A = (2*L*t*sin(AngleBottom))-((((t)^2)*cot(AngleBottom/2))/2)

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 bottom angle?

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

How to calculate Area of X Shape given bottom angle using this online calculator? To use this online calculator for Area of X Shape given bottom angle, enter Length (L), Thickness (t) & Bottom angle (AngleBottom) and hit the calculate button. Here is how the Area of X Shape given bottom angle calculation can be explained with given input values -> 1.173107 = (2*3*1*sin(0.528))-((((1)^2)*cot(0.528/2))/2).

FAQ

What is Area of X Shape given bottom angle?
The Area of X Shape given bottom angle formula is defined as the total space occupied by the X Shape in 2D space and calculated using bottom angle and is represented as A = (2*L*t*sin(AngleBottom))-((((t)^2)*cot(AngleBottom/2))/2) or Area = (2*Length*Thickness*sin(Bottom angle))-((((Thickness)^2)*cot(Bottom angle/2))/2). Length is the measurement or extent of something from end to end, Thickness is the distance through an object & The bottom angle is the bottom most angle of the given geometry.
How to calculate Area of X Shape given bottom angle?
The Area of X Shape given bottom angle formula is defined as the total space occupied by the X Shape in 2D space and calculated using bottom angle is calculated using Area = (2*Length*Thickness*sin(Bottom angle))-((((Thickness)^2)*cot(Bottom angle/2))/2). To calculate Area of X Shape given bottom angle, you need Length (L), Thickness (t) & Bottom angle (AngleBottom). With our tool, you need to enter the respective value for Length, 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 Area?
In this formula, Area uses Length, Thickness & Bottom angle. 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(Left angle))-(((Crossing Length)^2)*sin(Left angle))
  • Area = 2*Length*Thickness*sin(Right angle)-(Thickness*sin(Right angle/2)/sin(Right angle))^2*sin(Right angle)
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