Fx Copy
LaTeX Copy
The Area of X Shape is defined as the total area enclosed inside the X Shape. Check FAQs
A=(2lBartBarsin(Bottom/Top))-(tBar22cot(Bottom/Top2))
A - Area of X Shape?lBar - Bar Length of X Shape?tBar - Bar Thickness of X Shape?Bottom/Top - Bottom and Top Angle of X Shape?

Area of X Shape given Bottom or Top Angle Example

With values
With units
Only example

Here is how the Area of X Shape given Bottom or Top Angle equation looks like with Values.

Here is how the Area of X Shape given Bottom or Top Angle equation looks like with Units.

Here is how the Area of X Shape given Bottom or Top Angle equation looks like.

51.7401Edit=(220Edit2Editsin(45Edit))-(2Edit22cot(45Edit2))
You are here -
HomeIcon Home » Category Math » Category Geometry » Category 2D Geometry » fx Area of X Shape given Bottom or Top Angle

Area of X Shape given Bottom or Top Angle Solution

Follow our step by step solution on how to calculate Area of X Shape given Bottom or Top Angle?

FIRST Step Consider the formula
A=(2lBartBarsin(Bottom/Top))-(tBar22cot(Bottom/Top2))
Next Step Substitute values of Variables
A=(220m2msin(45°))-(2m22cot(45°2))
Next Step Convert Units
A=(220m2msin(0.7854rad))-(2m22cot(0.7854rad2))
Next Step Prepare to Evaluate
A=(2202sin(0.7854))-(222cot(0.78542))
Next Step Evaluate
A=51.7401153701683
LAST Step Rounding Answer
A=51.7401

Area of X Shape given Bottom or Top Angle Formula Elements

Variables
Functions
Area of X Shape
The Area of X Shape is defined as the total area enclosed inside the X Shape.
Symbol: A
Measurement: AreaUnit:
Note: Value should be greater than 0.
Bar Length of X Shape
Bar Length of X Shape is defined as the length of one bar out of two bars of X Shape.
Symbol: lBar
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Bar Thickness of X Shape
Bar Thickness of X Shape is defined as the thickness of one of the bars of X Shape.
Symbol: tBar
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Bottom and Top Angle of X Shape
The Bottom and Top Angle of X Shape are the bottom-most and top-most angles of the X-Shape formed due to the intersection of two bars forming the X-Shape.
Symbol: Bottom/Top
Measurement: AngleUnit: °
Note: Value should be between 0 to 180.
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.
Syntax: sin(Angle)
cot
Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.
Syntax: cot(Angle)

Other Formulas to find Area of X Shape

​Go Area of X Shape given Left or Right Angle
A=(2lBartBarsin(Left/Right))-(tBarsin(Left/Right2))2sin(Left/Right)

How to Evaluate Area of X Shape given Bottom or Top Angle?

Area of X Shape given Bottom or Top Angle evaluator uses 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)) to evaluate the Area of X Shape, The Area of X Shape given Bottom or Top Angle is defined as the total space occupied by the X Shape in 2D space. Area of X Shape is denoted by A symbol.

How to evaluate Area of X Shape given Bottom or Top Angle using this online evaluator? To use this online evaluator for Area of X Shape given Bottom or Top Angle, enter Bar Length of X Shape (lBar), Bar Thickness of X Shape (tBar) & Bottom and Top Angle of X Shape (∠Bottom/Top) and hit the calculate button.

FAQs on Area of X Shape given Bottom or Top Angle

What is the formula to find Area of X Shape given Bottom or Top Angle?
The formula of Area of X Shape given Bottom or Top Angle is expressed as 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)). Here is an example- 51.74012 = (2*20*2*sin(0.785398163397301))-((2^2)/2*cot(0.785398163397301/2)).
How to calculate Area of X Shape given Bottom or Top Angle?
With Bar Length of X Shape (lBar), Bar Thickness of X Shape (tBar) & Bottom and Top Angle of X Shape (∠Bottom/Top) we can find Area of X Shape given Bottom or Top Angle using the formula - 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)). This formula also uses Sine (sin), Cotangent (cot) function(s).
What are the other ways to Calculate Area of X Shape?
Here are the different ways to Calculate Area of X Shape-
  • 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)OpenImg
Can the Area of X Shape given Bottom or Top Angle be negative?
No, the Area of X Shape given Bottom or Top Angle, measured in Area cannot be negative.
Which unit is used to measure Area of X Shape given Bottom or Top Angle?
Area of X Shape given Bottom or Top Angle is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of X Shape given Bottom or Top Angle can be measured.
Copied!