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Angle Beta of Parallelepiped Formula

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Angle Beta of Parallelepiped is the angle formed by side A and side C at any of the two sharp tips of the Parallelepiped. Check FAQs

∠β = a \sin (\frac{TSA - (2 \cdot S a \cdot S b \cdot \sin (∠γ)) - (2 \cdot S b \cdot S c \cdot \sin (∠α))}{2 \cdot S a \cdot S c})

∠β - Angle Beta of Parallelepiped?TSA - Total Surface Area of Parallelepiped?S_a - Side A of Parallelepiped?S_b - Side B of Parallelepiped?∠γ - Angle Gamma of Parallelepiped?S_c - Side C of Parallelepiped?∠α - Angle Alpha of Parallelepiped?

Angle Beta of Parallelepiped Example

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Here is how the Angle Beta of Parallelepiped equation looks like with Values.

Here is how the Angle Beta of Parallelepiped equation looks like with Units.

Here is how the Angle Beta of Parallelepiped equation looks like.

59.7017 = a \sin (\frac{1960 - (2 \cdot 30 \cdot 20 \cdot \sin (75)) - (2 \cdot 20 \cdot 10 \cdot \sin (45))}{2 \cdot 30 \cdot 10})

59.7017° = a \sin (\frac{1960m² - (2 \cdot 30m \cdot 20m \cdot \sin (75°)) - (2 \cdot 20m \cdot 10m \cdot \sin (45°))}{2 \cdot 30m \cdot 10m})

59.7017 = a \sin (\frac{1960 - (2 \cdot 30 \cdot 20 \cdot \sin (75)) - (2 \cdot 20 \cdot 10 \cdot \sin (45))}{2 \cdot 30 \cdot 10})

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Angle Beta of Parallelepiped Solution

Follow our step by step solution on how to calculate Angle Beta of Parallelepiped?

FIRST Step Consider the formula

∠β = a \sin (\frac{TSA - (2 \cdot S a \cdot S b \cdot \sin (∠γ)) - (2 \cdot S b \cdot S c \cdot \sin (∠α))}{2 \cdot S a \cdot S c})

Next Step Substitute values of Variables

∴

∠β = a \sin (\frac{1960m² - (2 \cdot 30m \cdot 20m \cdot \sin (75°)) - (2 \cdot 20m \cdot 10m \cdot \sin (45°))}{2 \cdot 30m \cdot 10m})

Next Step Convert Units

∴

∠β = a \sin (\frac{1960m² - (2 \cdot 30m \cdot 20m \cdot \sin (1.309rad)) - (2 \cdot 20m \cdot 10m \cdot \sin (0.7854rad))}{2 \cdot 30m \cdot 10m})

Next Step Prepare to Evaluate

∴

∠β = a \sin (\frac{1960 - (2 \cdot 30 \cdot 20 \cdot \sin (1.309)) - (2 \cdot 20 \cdot 10 \cdot \sin (0.7854))}{2 \cdot 30 \cdot 10})

Next Step Evaluate

∴

∠β = 1.04199118138206rad

Next Step Convert to Output's Unit

∴

∠β = 59.7016969830541°

LAST Step Rounding Answer

∴

∠β = 59.7017°

Angle Beta of Parallelepiped Formula Elements

Variables

Functions

Angle Beta of Parallelepiped

Angle Beta of Parallelepiped is the angle formed by side A and side C at any of the two sharp tips of the Parallelepiped.

Symbol: ∠β

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Angle Beta of Parallelepiped

Total Surface Area of Parallelepiped

Total Surface Area of Parallelepiped is the total quantity of plane enclosed by the entire surface of the Parallelepiped.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Parallelepiped

Side A of Parallelepiped

Side A of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped.

Symbol: S_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side A of Parallelepiped

Side B of Parallelepiped

Side B of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped.

Symbol: S_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side B of Parallelepiped

Angle Gamma of Parallelepiped

Angle Gamma of Parallelepiped is the angle formed by side A and side B at any of the two sharp tips of the Parallelepiped.

Symbol: ∠γ

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Angle Gamma of Parallelepiped

Side C of Parallelepiped

Side C of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped.

Symbol: S_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side C of Parallelepiped

Angle Alpha of Parallelepiped

Angle Alpha of Parallelepiped is the angle formed by side B and side C at any of the two sharp tips of the Parallelepiped.

Symbol: ∠α

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Angle Alpha of Parallelepiped

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)

asin

The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: asin(Number)

Other formulas in Angle of Parallelepiped category

Go Angle Alpha of Parallelepiped

∠α = a \sin (\frac{TSA - (2 \cdot S a \cdot S b \cdot \sin (∠γ)) - (2 \cdot S a \cdot S c \cdot \sin (∠β))}{2 \cdot S c \cdot S b})

Go Angle Gamma of Parallelepiped

∠γ = a \sin (\frac{TSA - (2 \cdot S b \cdot S c \cdot \sin (∠α)) - (2 \cdot S a \cdot S c \cdot \sin (∠β))}{2 \cdot S b \cdot S a})

How to Evaluate Angle Beta of Parallelepiped?

Angle Beta of Parallelepiped evaluator uses Angle Beta of Parallelepiped = asin((Total Surface Area of Parallelepiped-(2*Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))-(2*Side B of Parallelepiped*Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped)))/(2*Side A of Parallelepiped*Side C of Parallelepiped)) to evaluate the Angle Beta of Parallelepiped, Angle Beta of Parallelepiped formula is defined as the angle formed by side A and side C at any of the two sharp tips of the Parallelepiped. Angle Beta of Parallelepiped is denoted by ∠β symbol.

How to evaluate Angle Beta of Parallelepiped using this online evaluator? To use this online evaluator for Angle Beta of Parallelepiped, enter Total Surface Area of Parallelepiped (TSA), Side A of Parallelepiped (S_a), Side B of Parallelepiped (S_b), Angle Gamma of Parallelepiped (∠γ), Side C of Parallelepiped (S_c) & Angle Alpha of Parallelepiped (∠α) and hit the calculate button.

FAQs on Angle Beta of Parallelepiped

What is the formula to find Angle Beta of Parallelepiped?

The formula of Angle Beta of Parallelepiped is expressed as Angle Beta of Parallelepiped = asin((Total Surface Area of Parallelepiped-(2*Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))-(2*Side B of Parallelepiped*Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped)))/(2*Side A of Parallelepiped*Side C of Parallelepiped)). Here is an example- 3420.655 = asin((1960-(2*30*20*sin(1.3089969389955))-(2*20*10*sin(0.785398163397301)))/(2*30*10)).

How to calculate Angle Beta of Parallelepiped?

With Total Surface Area of Parallelepiped (TSA), Side A of Parallelepiped (S_a), Side B of Parallelepiped (S_b), Angle Gamma of Parallelepiped (∠γ), Side C of Parallelepiped (S_c) & Angle Alpha of Parallelepiped (∠α) we can find Angle Beta of Parallelepiped using the formula - Angle Beta of Parallelepiped = asin((Total Surface Area of Parallelepiped-(2*Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))-(2*Side B of Parallelepiped*Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped)))/(2*Side A of Parallelepiped*Side C of Parallelepiped)). This formula also uses Sine (sin), Inverse Sine (asin) function(s).

Can the Angle Beta of Parallelepiped be negative?

No, the Angle Beta of Parallelepiped, measured in Angle cannot be negative.

Which unit is used to measure Angle Beta of Parallelepiped?

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

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Angle Beta of Parallelepiped Formula

Angle Beta of Parallelepiped Example

Angle Beta of Parallelepiped Solution

Angle Beta of Parallelepiped Formula Elements

Other formulas in Angle of Parallelepiped category

How to Evaluate Angle Beta of Parallelepiped?

FAQs on Angle Beta of Parallelepiped

Variable Name