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Inner Arm Length of X Shape given Bottom or Top Angle Formula

GoInner Arm Length of X Shape given Crossing Length Formula

GoInner Arm Length of X Shape given Perimeter Formula

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The Inner Arm Length of X Shape is the length of the inner arm of the X Shape. Check FAQs

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

l_{Inner Arm} - Inner Arm Length 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?π - Archimedes' constant?

Inner Arm Length of X Shape given Bottom or Top Angle Example

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

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

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

7.3869 = \frac{20}{2} - \frac{2}{2 \cdot \cos (\frac{3.1416}{2} - \frac{45}{2})}

7.3869m = \frac{20m}{2} - \frac{2m}{2 \cdot \cos (\frac{3.1416}{2} - \frac{45°}{2})}

7.3869 = \frac{20}{2} - \frac{2}{2 \cdot \cos (\frac{3.1416}{2} - \frac{45}{2})}

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Inner Arm Length of X Shape given Bottom or Top Angle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l Inner Arm = \frac{20m}{2} - \frac{2m}{2 \cdot \cos (\frac{π}{2} - \frac{45°}{2})}

Next Step Substitute values of Constants

∴

l Inner Arm = \frac{20m}{2} - \frac{2m}{2 \cdot \cos (\frac{3.1416}{2} - \frac{45°}{2})}

Next Step Convert Units

∴

l Inner Arm = \frac{20m}{2} - \frac{2m}{2 \cdot \cos (\frac{3.1416}{2} - \frac{0.7854rad}{2})}

Next Step Prepare to Evaluate

∴

l Inner Arm = \frac{20}{2} - \frac{2}{2 \cdot \cos (\frac{3.1416}{2} - \frac{0.7854}{2})}

Next Step Evaluate

∴

l Inner Arm = 7.38687407024678m

LAST Step Rounding Answer

∴

l Inner Arm = 7.3869m

Inner Arm Length of X Shape given Bottom or Top Angle Formula Elements

Variables

Constants

Functions

Inner Arm Length of X Shape

The Inner Arm Length of X Shape is the length of the inner arm of the X Shape.

Symbol: l_{Inner Arm}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Arm Length 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

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)

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 Inner Arm Length of X Shape

Go Inner Arm Length of X Shape given Crossing Length

l Inner Arm = \frac{l Bar}{2} - l Crossing

Go Inner Arm Length of X Shape given Perimeter

l Inner Arm = \frac{P}{4} - t Bar - \frac{l Bar}{2}

Go Inner Arm Length of X Shape given Outer Arm Length and Crossing Length

l Inner Arm = l Outer Arm - l Crossing

How to Evaluate Inner Arm Length of X Shape given Bottom or Top Angle?

Inner Arm Length of X Shape given Bottom or Top Angle evaluator uses Inner Arm Length of X Shape = Bar Length of X Shape/2-Bar Thickness of X Shape/(2*cos(pi/2-Bottom and Top Angle of X Shape/2)) to evaluate the Inner Arm Length of X Shape, The Inner Arm Length of X Shape given Bottom or Top Angle formula is defined as the length of the arm of the X Shape from the inner side, i.e. the smaller arm, calculated using the bottom or top angle of X Shape. Inner Arm Length of X Shape is denoted by l_{Inner Arm} symbol.

How to evaluate Inner Arm Length of X Shape given Bottom or Top Angle using this online evaluator? To use this online evaluator for Inner Arm Length 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 Inner Arm Length of X Shape given Bottom or Top Angle

What is the formula to find Inner Arm Length of X Shape given Bottom or Top Angle?

The formula of Inner Arm Length of X Shape given Bottom or Top Angle is expressed as Inner Arm Length of X Shape = Bar Length of X Shape/2-Bar Thickness of X Shape/(2*cos(pi/2-Bottom and Top Angle of X Shape/2)). Here is an example- 7.386874 = 20/2-2/(2*cos(pi/2-0.785398163397301/2)).

How to calculate Inner Arm Length 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 Inner Arm Length of X Shape given Bottom or Top Angle using the formula - Inner Arm Length of X Shape = Bar Length of X Shape/2-Bar Thickness of X Shape/(2*cos(pi/2-Bottom and Top Angle of X Shape/2)). This formula also uses Archimedes' constant and Cosine (cos) function(s).

What are the other ways to Calculate Inner Arm Length of X Shape?

Here are the different ways to Calculate Inner Arm Length of X Shape-

Inner Arm Length of X Shape=Bar Length of X Shape/2-Crossing Length of X Shape
Inner Arm Length of X Shape=Perimeter of X Shape/4-Bar Thickness of X Shape-Bar Length of X Shape/2
Inner Arm Length of X Shape=Outer Arm Length of X Shape-Crossing Length of X Shape

Can the Inner Arm Length of X Shape given Bottom or Top Angle be negative?

No, the Inner Arm Length of X Shape given Bottom or Top Angle, measured in Length cannot be negative.

Which unit is used to measure Inner Arm Length of X Shape given Bottom or Top Angle?

Inner Arm Length of X Shape given Bottom or Top Angle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Inner Arm Length of X Shape given Bottom or Top Angle can be measured.

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: Value
: Unit

Inner Arm Length of X Shape given Bottom or Top Angle Formula

​GoInner Arm Length of X Shape given Crossing Length Formula

​GoInner Arm Length of X Shape given Perimeter Formula

Inner Arm Length of X Shape given Bottom or Top Angle Example

Inner Arm Length of X Shape given Bottom or Top Angle Solution

Inner Arm Length of X Shape given Bottom or Top Angle Formula Elements

Credits

Other Formulas to find Inner Arm Length of X Shape

How to Evaluate Inner Arm Length of X Shape given Bottom or Top Angle?

FAQs on Inner Arm Length of X Shape given Bottom or Top Angle

Variable Name

GoInner Arm Length of X Shape given Crossing Length Formula

GoInner Arm Length of X Shape given Perimeter Formula