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Wedge Angle of Flat End Cylinder Formula

GoWedge Angle of Flat End Cylinder given Straight Edge Length Formula

GoWedge Angle of Flat End Cylinder given Lateral Surface Area 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 (r^{2} + h^{2})) - (4 \cdot r^{2})}{2 \cdot (r^{2} + h^{2})})

∠_Wedge - Wedge Angle of Flat End Cylinder?r - Radius of Flat End Cylinder?h - Height of Flat End Cylinder?

Wedge Angle of Flat End Cylinder Example

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

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

Here is how the Wedge Angle of Flat End Cylinder equation looks like.

45.2397 = \arccos (\frac{(2 \cdot (5^{2} + 12^{2})) - (4 \cdot 5^{2})}{2 \cdot (5^{2} + 12^{2})})

45.2397° = \arccos (\frac{(2 \cdot ({5m}^{2} + {12m}^{2})) - (4 \cdot {5m}^{2})}{2 \cdot ({5m}^{2} + {12m}^{2})})

45.2397 = \arccos (\frac{(2 \cdot (5^{2} + 12^{2})) - (4 \cdot 5^{2})}{2 \cdot (5^{2} + 12^{2})})

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Wedge Angle of Flat End Cylinder Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

∠ Wedge = \arccos (\frac{(2 \cdot ({5m}^{2} + {12m}^{2})) - (4 \cdot {5m}^{2})}{2 \cdot ({5m}^{2} + {12m}^{2})})

Next Step Prepare to Evaluate

∴

∠ Wedge = \arccos (\frac{(2 \cdot (5^{2} + 12^{2})) - (4 \cdot 5^{2})}{2 \cdot (5^{2} + 12^{2})})

Next Step Evaluate

∴

∠ Wedge = 0.789582239399523rad

Next Step Convert to Output's Unit

∴

∠ Wedge = 45.2397298960894°

LAST Step Rounding Answer

∴

∠ Wedge = 45.2397°

Wedge Angle of Flat End Cylinder Formula Elements

Variables

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

Radius of Flat End Cylinder

Radius of Flat End Cylinder is the distance between the center and any point on the circumference of the base circular face of the Flat End Cylinder.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius 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

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 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 Lateral Surface Area

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

Wedge Angle of Flat End Cylinder evaluator uses 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))) to evaluate the Wedge Angle of Flat End Cylinder, Wedge Angle of Flat End Cylinder formula is defined as the angle made by the oblique side faces of Flat End Cylinder. Wedge Angle of Flat End Cylinder is denoted by ∠_Wedge symbol.

How to evaluate Wedge Angle of Flat End Cylinder using this online evaluator? To use this online evaluator for Wedge Angle of Flat End Cylinder, enter Radius of Flat End Cylinder (r) & Height of Flat End Cylinder (h) and hit the calculate button.

FAQs on Wedge Angle of Flat End Cylinder

What is the formula to find Wedge Angle of Flat End Cylinder?

The formula of Wedge Angle of Flat End Cylinder is expressed as 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))). Here is an example- 2592.046 = arccos(((2*(5^2+12^2))-(4*5^2))/(2*(5^2+12^2))).

How to calculate Wedge Angle of Flat End Cylinder?

With Radius of Flat End Cylinder (r) & Height of Flat End Cylinder (h) we can find Wedge Angle of Flat End Cylinder using the formula - 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))). This formula also uses 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*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*(Lateral Surface Area of Flat End Cylinder/(Height of Flat End Cylinder*((2*pi)-4)))^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 be negative?

No, the Wedge Angle of Flat End Cylinder, measured in Angle cannot be negative.

Which unit is used to measure Wedge Angle of Flat End Cylinder?

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

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