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Acute Angle of Half Cuboid Formula

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The Acute Angle of Half Cuboid is the pair of angles of the top rhombus shaped face of the Half Cuboid which is less than 90 degrees. Check FAQs

∠ Acute = π - 2 \cdot \arccos (\frac{{l Base}^{2}}{\sqrt{2} \cdot l Base \cdot l Slant})

∠_Acute - Acute Angle of Half Cuboid?l_Base - Base Length of Half Cuboid?l_Slant - Slant Length of Half Cuboid?π - Archimedes' constant?

Acute Angle of Half Cuboid Example

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Here is how the Acute Angle of Half Cuboid equation looks like with Values.

Here is how the Acute Angle of Half Cuboid equation looks like with Units.

Here is how the Acute Angle of Half Cuboid equation looks like.

80.0055 = 3.1416 - 2 \cdot \arccos (\frac{10^{2}}{\sqrt{2} \cdot 10 \cdot 11})

80.0055° = 3.1416 - 2 \cdot \arccos (\frac{{10m}^{2}}{\sqrt{2} \cdot 10m \cdot 11m})

80.0055 = 3.1416 - 2 \cdot \arccos (\frac{10^{2}}{\sqrt{2} \cdot 10 \cdot 11})

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Acute Angle of Half Cuboid Solution

Follow our step by step solution on how to calculate Acute Angle of Half Cuboid?

FIRST Step Consider the formula

∠ Acute = π - 2 \cdot \arccos (\frac{{l Base}^{2}}{\sqrt{2} \cdot l Base \cdot l Slant})

Next Step Substitute values of Variables

∴

∠ Acute = π - 2 \cdot \arccos (\frac{{10m}^{2}}{\sqrt{2} \cdot 10m \cdot 11m})

Next Step Substitute values of Constants

∴

∠ Acute = 3.1416 - 2 \cdot \arccos (\frac{{10m}^{2}}{\sqrt{2} \cdot 10m \cdot 11m})

Next Step Prepare to Evaluate

∴

∠ Acute = 3.1416 - 2 \cdot \arccos (\frac{10^{2}}{\sqrt{2} \cdot 10 \cdot 11})

Next Step Evaluate

∴

∠ Acute = 1.39635931662027rad

Next Step Convert to Output's Unit

∴

∠ Acute = 80.0054955261281°

LAST Step Rounding Answer

∴

∠ Acute = 80.0055°

Acute Angle of Half Cuboid Formula Elements

Variables

Constants

Functions

Acute Angle of Half Cuboid

The Acute Angle of Half Cuboid is the pair of angles of the top rhombus shaped face of the Half Cuboid which is less than 90 degrees.

Symbol: ∠_Acute

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Acute Angle of Half Cuboid

Base Length of Half Cuboid

The Base Length of Half Cuboid is the length of any edge of the bottom square shaped face of the Half Cuboid.

Symbol: l_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Length of Half Cuboid

Slant Length of Half Cuboid

The Slant Length of Half Cuboid is the length of any edge of the top rhombus shaped face of the Half Cuboid.

Symbol: l_Slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant Length of Half Cuboid

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)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

How to Evaluate Acute Angle of Half Cuboid?

Acute Angle of Half Cuboid evaluator uses Acute Angle of Half Cuboid = pi-2*arccos(Base Length of Half Cuboid^2/(sqrt(2)*Base Length of Half Cuboid*Slant Length of Half Cuboid)) to evaluate the Acute Angle of Half Cuboid, The Acute Angle of Half Cuboid formula is defined as the pair of angles of the top rhombus shaped face of the Half Cuboid which is less than 90 degrees. Acute Angle of Half Cuboid is denoted by ∠_Acute symbol.

How to evaluate Acute Angle of Half Cuboid using this online evaluator? To use this online evaluator for Acute Angle of Half Cuboid, enter Base Length of Half Cuboid (l_Base) & Slant Length of Half Cuboid (l_Slant) and hit the calculate button.

FAQs on Acute Angle of Half Cuboid

What is the formula to find Acute Angle of Half Cuboid?

The formula of Acute Angle of Half Cuboid is expressed as Acute Angle of Half Cuboid = pi-2*arccos(Base Length of Half Cuboid^2/(sqrt(2)*Base Length of Half Cuboid*Slant Length of Half Cuboid)). Here is an example- 4583.977 = pi-2*arccos(10^2/(sqrt(2)*10*11)).

How to calculate Acute Angle of Half Cuboid?

With Base Length of Half Cuboid (l_Base) & Slant Length of Half Cuboid (l_Slant) we can find Acute Angle of Half Cuboid using the formula - Acute Angle of Half Cuboid = pi-2*arccos(Base Length of Half Cuboid^2/(sqrt(2)*Base Length of Half Cuboid*Slant Length of Half Cuboid)). This formula also uses Archimedes' constant and , Cosine (cos), Inverse Cosine (arccos), Square Root (sqrt) function(s).

Can the Acute Angle of Half Cuboid be negative?

No, the Acute Angle of Half Cuboid, measured in Angle cannot be negative.

Which unit is used to measure Acute Angle of Half Cuboid?

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

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