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Area of X Shape given Bottom or Top Angle Formula

GoArea of X Shape given Left or Right Angle Formula

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The Area of X Shape is defined as the total area enclosed inside the X Shape. Check FAQs

A = (2 \cdot l Bar \cdot t Bar \cdot \sin (∠ Bottom/Top)) - (\frac{{t Bar}^{2}}{2} \cdot \cot (\frac{∠ Bottom/Top}{2}))

A - Area of X Shape?l_Bar - Bar Length of X Shape?t_Bar - Bar Thickness of X Shape?∠_Bottom/Top - Bottom and Top Angle of X Shape?

Area of X Shape given Bottom or Top Angle Example

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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.

51.7401 = (2 \cdot 20 \cdot 2 \cdot \sin (45)) - (\frac{2^{2}}{2} \cdot \cot (\frac{45}{2}))

51.7401m² = (2 \cdot 20m \cdot 2m \cdot \sin (45°)) - (\frac{{2m}^{2}}{2} \cdot \cot (\frac{45°}{2}))

51.7401 = (2 \cdot 20 \cdot 2 \cdot \sin (45)) - (\frac{2^{2}}{2} \cdot \cot (\frac{45}{2}))

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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 = (2 \cdot l Bar \cdot t Bar \cdot \sin (∠ Bottom/Top)) - (\frac{{t Bar}^{2}}{2} \cdot \cot (\frac{∠ Bottom/Top}{2}))

Next Step Substitute values of Variables

∴

A = (2 \cdot 20m \cdot 2m \cdot \sin (45°)) - (\frac{{2m}^{2}}{2} \cdot \cot (\frac{45°}{2}))

Next Step Convert Units

∴

A = (2 \cdot 20m \cdot 2m \cdot \sin (0.7854rad)) - (\frac{{2m}^{2}}{2} \cdot \cot (\frac{0.7854rad}{2}))

Next Step Prepare to Evaluate

∴

A = (2 \cdot 20 \cdot 2 \cdot \sin (0.7854)) - (\frac{2^{2}}{2} \cdot \cot (\frac{0.7854}{2}))

Next Step Evaluate

∴

A = 51.7401153701683m²

LAST Step Rounding Answer

∴

A = 51.7401m²

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: m²

Note: Value should be greater than 0.

Formulas to find Area of X Shape

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: l_Bar

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Bar Length of X Shape

Bar Thickness of X Shape

Bar Thickness of X Shape is defined as the thickness of one of the bars of X Shape.

Symbol: t_Bar

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Bar Thickness of X Shape

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.

Formulas to find Bottom and Top Angle of X Shape

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)

Credits

Created by Devendar Kachhwaha

Indian Institute of technology (IIT-BHU), Varanasi

Devendar Kachhwaha has created this Formula and 10+ more formulas!

Verified by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has verified this Formula and 1500+ more formulas!

Other Formulas to find Area of X Shape

Go Area of X Shape given Left or Right Angle

A = (2 \cdot l Bar \cdot t Bar \cdot \sin (∠ Left/Right)) - \frac{{(t Bar \cdot \sin (\frac{∠ Left/Right}{2}))}^{2}}{\sin (∠ 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 (l_Bar), Bar Thickness of X Shape (t_Bar) & 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 (l_Bar), Bar Thickness of X Shape (t_Bar) & 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)

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.

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Area of X Shape given Bottom or Top Angle Formula

​GoArea of X Shape given Left or Right Angle Formula

Area of X Shape given Bottom or Top Angle Example

Area of X Shape given Bottom or Top Angle Solution

Area of X Shape given Bottom or Top Angle Formula Elements

Credits

Other Formulas to find Area of X Shape

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

FAQs on Area of X Shape given Bottom or Top Angle

Variable Name

GoArea of X Shape given Left or Right Angle Formula