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Bottom and Top Angle of X Shape given Crossing Length Formula

GoBottom and Top Angle of X Shape given Left or Right Angle Formula

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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. Check FAQs

∠ Bottom/Top = π - (2 \cdot a \cos (\frac{t Bar}{2 \cdot l Crossing}))

∠_Bottom/Top - Bottom and Top Angle of X Shape?t_Bar - Bar Thickness of X Shape?l_Crossing - Crossing Length of X Shape?π - Archimedes' constant?

Bottom and Top Angle of X Shape given Crossing Length Example

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Here is how the Bottom and Top Angle of X Shape given Crossing Length equation looks like with Values.

Here is how the Bottom and Top Angle of X Shape given Crossing Length equation looks like with Units.

Here is how the Bottom and Top Angle of X Shape given Crossing Length equation looks like.

38.9424 = 3.1416 - (2 \cdot a \cos (\frac{2}{2 \cdot 3}))

38.9424° = 3.1416 - (2 \cdot a \cos (\frac{2m}{2 \cdot 3m}))

38.9424 = 3.1416 - (2 \cdot a \cos (\frac{2}{2 \cdot 3}))

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Bottom and Top Angle of X Shape given Crossing Length Solution

Follow our step by step solution on how to calculate Bottom and Top Angle of X Shape given Crossing Length?

FIRST Step Consider the formula

∠ Bottom/Top = π - (2 \cdot a \cos (\frac{t Bar}{2 \cdot l Crossing}))

Next Step Substitute values of Variables

∴

∠ Bottom/Top = π - (2 \cdot a \cos (\frac{2m}{2 \cdot 3m}))

Next Step Substitute values of Constants

∴

∠ Bottom/Top = 3.1416 - (2 \cdot a \cos (\frac{2m}{2 \cdot 3m}))

Next Step Prepare to Evaluate

∴

∠ Bottom/Top = 3.1416 - (2 \cdot a \cos (\frac{2}{2 \cdot 3}))

Next Step Evaluate

∴

∠ Bottom/Top = 0.679673818908244rad

Next Step Convert to Output's Unit

∴

∠ Bottom/Top = 38.9424412689887°

LAST Step Rounding Answer

∴

∠ Bottom/Top = 38.9424°

Bottom and Top Angle of X Shape given Crossing Length Formula Elements

Variables

Constants

Functions

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

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

Crossing Length of X Shape

The Crossing Length of X Shape is defined as the length of the side of the rhombus formed by the intersection of planes in the X shape.

Symbol: l_Crossing

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Crossing Length of X Shape

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

acos

The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.

Syntax: acos(Number)

Other Formulas to find Bottom and Top Angle of X Shape

Go Bottom and Top Angle of X Shape given Left or Right Angle

∠ Bottom/Top = π - ∠ Left/Right

How to Evaluate Bottom and Top Angle of X Shape given Crossing Length?

Bottom and Top Angle of X Shape given Crossing Length evaluator uses Bottom and Top Angle of X Shape = pi-(2*acos(Bar Thickness of X Shape/(2*Crossing Length of X Shape))) to evaluate the Bottom and Top Angle of X Shape, The Bottom and Top Angle of X Shape given Crossing Length formula are defined as the angles of crossing on the bottom and topside in an X Shape, calculated using its crossing length. Bottom and Top Angle of X Shape is denoted by ∠_Bottom/Top symbol.

How to evaluate Bottom and Top Angle of X Shape given Crossing Length using this online evaluator? To use this online evaluator for Bottom and Top Angle of X Shape given Crossing Length, enter Bar Thickness of X Shape (t_Bar) & Crossing Length of X Shape (l_Crossing) and hit the calculate button.

FAQs on Bottom and Top Angle of X Shape given Crossing Length

What is the formula to find Bottom and Top Angle of X Shape given Crossing Length?

The formula of Bottom and Top Angle of X Shape given Crossing Length is expressed as Bottom and Top Angle of X Shape = pi-(2*acos(Bar Thickness of X Shape/(2*Crossing Length of X Shape))). Here is an example- 2231.238 = pi-(2*acos(2/(2*3))).

How to calculate Bottom and Top Angle of X Shape given Crossing Length?

With Bar Thickness of X Shape (t_Bar) & Crossing Length of X Shape (l_Crossing) we can find Bottom and Top Angle of X Shape given Crossing Length using the formula - Bottom and Top Angle of X Shape = pi-(2*acos(Bar Thickness of X Shape/(2*Crossing Length of X Shape))). This formula also uses Archimedes' constant and , Cosine (cos), Inverse Cosine (acos) function(s).

What are the other ways to Calculate Bottom and Top Angle of X Shape?

Here are the different ways to Calculate Bottom and Top Angle of X Shape-

Bottom and Top Angle of X Shape=pi-Left and Right Angle of X Shape

Can the Bottom and Top Angle of X Shape given Crossing Length be negative?

No, the Bottom and Top Angle of X Shape given Crossing Length, measured in Angle cannot be negative.

Which unit is used to measure Bottom and Top Angle of X Shape given Crossing Length?

Bottom and Top Angle of X Shape given Crossing Length is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Bottom and Top Angle of X Shape given Crossing Length can be measured.

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