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Wedge Angle of Flat End Cylinder given Lateral Surface Area Formula

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GoWedge Angle of Flat End Cylinder given Straight Edge Length Formula

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Wedge Angle of Flat End Cylinder is the angle made by the oblique side faces of Flat End Cylinder. Check FAQs

∠ Wedge = \arccos (\frac{(2 \cdot {l Side}^{2}) - (4 \cdot {(\frac{LSA}{h \cdot ((2 \cdot π) - 4)})}^{2})}{2 \cdot {l Side}^{2}})

∠_Wedge - Wedge Angle of Flat End Cylinder?l_Side - Side Length of Flat End Cylinder?LSA - Lateral Surface Area of Flat End Cylinder?h - Height of Flat End Cylinder?π - Archimedes' constant?

Wedge Angle of Flat End Cylinder given Lateral Surface Area Example

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Here is how the Wedge Angle of Flat End Cylinder given Lateral Surface Area equation looks like with Values.

Here is how the Wedge Angle of Flat End Cylinder given Lateral Surface Area equation looks like with Units.

Here is how the Wedge Angle of Flat End Cylinder given Lateral Surface Area equation looks like.

44.5466 = \arccos (\frac{(2 \cdot 13^{2}) - (4 \cdot {(\frac{135}{12 \cdot ((2 \cdot 3.1416) - 4)})}^{2})}{2 \cdot 13^{2}})

44.5466° = \arccos (\frac{(2 \cdot {13m}^{2}) - (4 \cdot {(\frac{135m²}{12m \cdot ((2 \cdot 3.1416) - 4)})}^{2})}{2 \cdot {13m}^{2}})

44.5466 = \arccos (\frac{(2 \cdot 13^{2}) - (4 \cdot {(\frac{135}{12 \cdot ((2 \cdot 3.1416) - 4)})}^{2})}{2 \cdot 13^{2}})

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Wedge Angle of Flat End Cylinder given Lateral Surface Area Solution

Follow our step by step solution on how to calculate Wedge Angle of Flat End Cylinder given Lateral Surface Area?

FIRST Step Consider the formula

∠ Wedge = \arccos (\frac{(2 \cdot {l Side}^{2}) - (4 \cdot {(\frac{LSA}{h \cdot ((2 \cdot π) - 4)})}^{2})}{2 \cdot {l Side}^{2}})

Next Step Substitute values of Variables

∴

∠ Wedge = \arccos (\frac{(2 \cdot {13m}^{2}) - (4 \cdot {(\frac{135m²}{12m \cdot ((2 \cdot π) - 4)})}^{2})}{2 \cdot {13m}^{2}})

Next Step Substitute values of Constants

∴

∠ Wedge = \arccos (\frac{(2 \cdot {13m}^{2}) - (4 \cdot {(\frac{135m²}{12m \cdot ((2 \cdot 3.1416) - 4)})}^{2})}{2 \cdot {13m}^{2}})

Next Step Prepare to Evaluate

∴

∠ Wedge = \arccos (\frac{(2 \cdot 13^{2}) - (4 \cdot {(\frac{135}{12 \cdot ((2 \cdot 3.1416) - 4)})}^{2})}{2 \cdot 13^{2}})

Next Step Evaluate

∴

∠ Wedge = 0.777485197976617rad

Next Step Convert to Output's Unit

∴

∠ Wedge = 44.5466204779618°

LAST Step Rounding Answer

∴

∠ Wedge = 44.5466°

Wedge Angle of Flat End Cylinder given Lateral Surface Area Formula Elements

Variables

Constants

Functions

Wedge Angle of Flat End Cylinder

Wedge Angle of Flat End Cylinder is the angle made by the oblique side faces of Flat End Cylinder.

Symbol: ∠_Wedge

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Wedge Angle of Flat End Cylinder

Side Length of Flat End Cylinder

Side Length of Flat End Cylinder is the measurement or extent of side of Flat End Cylinder.

Symbol: l_Side

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side Length of Flat End Cylinder

Lateral Surface Area of Flat End Cylinder

Lateral Surface Area of Flat End Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Flat End Cylinder.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Flat End Cylinder

Height of Flat End Cylinder

Height of Flat End Cylinder is the vertical distance from the bottom circular face to the top of the Flat End Cylinder.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Flat End Cylinder

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)

arccos

Arccosine 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: arccos(Number)

Other Formulas to find Wedge Angle of Flat End Cylinder

Go Wedge Angle of Flat End Cylinder

∠ Wedge = \arccos (\frac{(2 \cdot (r^{2} + h^{2})) - (4 \cdot r^{2})}{2 \cdot (r^{2} + h^{2})})

Go Wedge Angle of Flat End Cylinder given Straight Edge Length

∠ Wedge = \arccos (\frac{(2 \cdot {l Side}^{2}) - (4 \cdot {(\frac{l e(Straight)}{2})}^{2})}{2 \cdot {l Side}^{2}})

Go Wedge Angle of Flat End Cylinder given Volume

∠ Wedge = \arccos (\frac{(2 \cdot {l Side}^{2}) - (4 \cdot \frac{V}{h \cdot (π - \frac{4}{3})})}{2 \cdot {l Side}^{2}})

How to Evaluate Wedge Angle of Flat End Cylinder given Lateral Surface Area?

Wedge Angle of Flat End Cylinder given Lateral Surface Area evaluator uses Wedge Angle of Flat End Cylinder = arccos(((2*Side Length of Flat End Cylinder^2)-(4*(Lateral Surface Area of Flat End Cylinder/(Height of Flat End Cylinder*((2*pi)-4)))^2))/(2*Side Length of Flat End Cylinder^2)) to evaluate the Wedge Angle of Flat End Cylinder, Wedge Angle of Flat End Cylinder given Lateral Surface Area formula is defined as the angle made by the oblique side faces of Flat End Cylinder, and is calculated using side length, height and lateral surface area of Flat End Cylinder. Wedge Angle of Flat End Cylinder is denoted by ∠_Wedge symbol.

How to evaluate Wedge Angle of Flat End Cylinder given Lateral Surface Area using this online evaluator? To use this online evaluator for Wedge Angle of Flat End Cylinder given Lateral Surface Area, enter Side Length of Flat End Cylinder (l_Side), Lateral Surface Area of Flat End Cylinder (LSA) & Height of Flat End Cylinder (h) and hit the calculate button.

FAQs on Wedge Angle of Flat End Cylinder given Lateral Surface Area

What is the formula to find Wedge Angle of Flat End Cylinder given Lateral Surface Area?

The formula of Wedge Angle of Flat End Cylinder given Lateral Surface Area is expressed as Wedge Angle of Flat End Cylinder = arccos(((2*Side Length of Flat End Cylinder^2)-(4*(Lateral Surface Area of Flat End Cylinder/(Height of Flat End Cylinder*((2*pi)-4)))^2))/(2*Side Length of Flat End Cylinder^2)). Here is an example- 2552.333 = arccos(((2*13^2)-(4*(135/(12*((2*pi)-4)))^2))/(2*13^2)).

How to calculate Wedge Angle of Flat End Cylinder given Lateral Surface Area?

With Side Length of Flat End Cylinder (l_Side), Lateral Surface Area of Flat End Cylinder (LSA) & Height of Flat End Cylinder (h) we can find Wedge Angle of Flat End Cylinder given Lateral Surface Area using the formula - Wedge Angle of Flat End Cylinder = arccos(((2*Side Length of Flat End Cylinder^2)-(4*(Lateral Surface Area of Flat End Cylinder/(Height of Flat End Cylinder*((2*pi)-4)))^2))/(2*Side Length of Flat End Cylinder^2)). This formula also uses Archimedes' constant and , Cosine (cos), Inverse Cosine (arccos) function(s).

What are the other ways to Calculate Wedge Angle of Flat End Cylinder?

Here are the different ways to Calculate Wedge Angle of Flat End Cylinder-

Wedge Angle of Flat End Cylinder=arccos(((2*(Radius of Flat End Cylinder^2+Height of Flat End Cylinder^2))-(4*Radius of Flat End Cylinder^2))/(2*(Radius of Flat End Cylinder^2+Height of Flat End Cylinder^2)))
Wedge Angle of Flat End Cylinder=arccos(((2*Side Length of Flat End Cylinder^2)-(4*(Straight Edge Length of Flat End Cylinder/2)^2))/(2*Side Length of Flat End Cylinder^2))
Wedge Angle of Flat End Cylinder=arccos(((2*Side Length of Flat End Cylinder^2)-(4*Volume of Flat End Cylinder/(Height of Flat End Cylinder*(pi-4/3))))/(2*Side Length of Flat End Cylinder^2))

Can the Wedge Angle of Flat End Cylinder given Lateral Surface Area be negative?

No, the Wedge Angle of Flat End Cylinder given Lateral Surface Area, measured in Angle cannot be negative.

Which unit is used to measure Wedge Angle of Flat End Cylinder given Lateral Surface Area?

Wedge Angle of Flat End Cylinder given Lateral Surface Area is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Wedge Angle of Flat End Cylinder given Lateral Surface Area can be measured.

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Wedge Angle of Flat End Cylinder given Lateral Surface Area Formula

​GoWedge Angle of Flat End Cylinder Formula

​GoWedge Angle of Flat End Cylinder given Straight Edge Length Formula

Wedge Angle of Flat End Cylinder given Lateral Surface Area Example

Wedge Angle of Flat End Cylinder given Lateral Surface Area Solution

Wedge Angle of Flat End Cylinder given Lateral Surface Area Formula Elements

Other Formulas to find Wedge Angle of Flat End Cylinder

How to Evaluate Wedge Angle of Flat End Cylinder given Lateral Surface Area?

FAQs on Wedge Angle of Flat End Cylinder given Lateral Surface Area

Variable Name

GoWedge Angle of Flat End Cylinder Formula

GoWedge Angle of Flat End Cylinder given Straight Edge Length Formula