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Obtuse Angle of Rhombus given Long Diagonal Formula

GoObtuse Angle of Rhombus given Short Diagonal Formula

GoObtuse Angle of Rhombus given both Diagonals Formula

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Obtuse Angle of Rhombus is the angle inside the Rhombus which is greater than 90 degree. Check FAQs

∠ Obtuse = a \cos (1 - \frac{{d Long}^{2}}{2 \cdot S^{2}})

∠_Obtuse - Obtuse Angle of Rhombus?d_Long - Long Diagonal of Rhombus?S - Side of Rhombus?

Obtuse Angle of Rhombus given Long Diagonal Example

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Here is how the Obtuse Angle of Rhombus given Long Diagonal equation looks like with Values.

Here is how the Obtuse Angle of Rhombus given Long Diagonal equation looks like with Units.

Here is how the Obtuse Angle of Rhombus given Long Diagonal equation looks like.

128.3161 = a \cos (1 - \frac{18^{2}}{2 \cdot 10^{2}})

128.3161° = a \cos (1 - \frac{{18m}^{2}}{2 \cdot {10m}^{2}})

128.3161 = a \cos (1 - \frac{18^{2}}{2 \cdot 10^{2}})

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Obtuse Angle of Rhombus given Long Diagonal Solution

Follow our step by step solution on how to calculate Obtuse Angle of Rhombus given Long Diagonal?

FIRST Step Consider the formula

∠ Obtuse = a \cos (1 - \frac{{d Long}^{2}}{2 \cdot S^{2}})

Next Step Substitute values of Variables

∴

∠ Obtuse = a \cos (1 - \frac{{18m}^{2}}{2 \cdot {10m}^{2}})

Next Step Prepare to Evaluate

∴

∠ Obtuse = a \cos (1 - \frac{18^{2}}{2 \cdot 10^{2}})

Next Step Evaluate

∴

∠ Obtuse = 2.23953902999727rad

Next Step Convert to Output's Unit

∴

∠ Obtuse = 128.31613447369°

LAST Step Rounding Answer

∴

∠ Obtuse = 128.3161°

Obtuse Angle of Rhombus given Long Diagonal Formula Elements

Variables

Functions

Obtuse Angle of Rhombus

Obtuse Angle of Rhombus is the angle inside the Rhombus which is greater than 90 degree.

Symbol: ∠_Obtuse

Measurement: AngleUnit: °

Note: Value should be between 90 to 180.

Formulas to find Obtuse Angle of Rhombus

Long Diagonal of Rhombus

The Long Diagonal of Rhombus is the length of line joining the acute angle corners of a Rhombus.

Symbol: d_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Diagonal of Rhombus

Side of Rhombus

The Side of Rhombus is the length of any of the four edges.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side of Rhombus

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

acos

The inverse cosine 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: acos(Number)

Other Formulas to find Obtuse Angle of Rhombus

Go Obtuse Angle of Rhombus given Short Diagonal

∠ Obtuse = a \cos (\frac{{d Short}^{2}}{2 \cdot S^{2}} - 1)

Go Obtuse Angle of Rhombus given both Diagonals

∠ Obtuse = 2 \cdot a \cos (\frac{d Short}{\sqrt{{d Long}^{2} + {d Short}^{2}}})

Go Obtuse Angle of Rhombus given Area

∠ Obtuse = π - a \sin (\frac{A}{S^{2}})

Go Obtuse Angle of Rhombus given Height

∠ Obtuse = π - a \sin (\frac{h}{S})

How to Evaluate Obtuse Angle of Rhombus given Long Diagonal?

Obtuse Angle of Rhombus given Long Diagonal evaluator uses Obtuse Angle of Rhombus = acos(1-Long Diagonal of Rhombus^2/(2*Side of Rhombus^2)) to evaluate the Obtuse Angle of Rhombus, The Obtuse Angle of Rhombus given Long Diagonal formula is defined as the angle inside the Rhombus which is greater than 90 degrees, calculated using the long diagonal of the Rhombus. Obtuse Angle of Rhombus is denoted by ∠_Obtuse symbol.

How to evaluate Obtuse Angle of Rhombus given Long Diagonal using this online evaluator? To use this online evaluator for Obtuse Angle of Rhombus given Long Diagonal, enter Long Diagonal of Rhombus (d_Long) & Side of Rhombus (S) and hit the calculate button.

FAQs on Obtuse Angle of Rhombus given Long Diagonal

What is the formula to find Obtuse Angle of Rhombus given Long Diagonal?

The formula of Obtuse Angle of Rhombus given Long Diagonal is expressed as Obtuse Angle of Rhombus = acos(1-Long Diagonal of Rhombus^2/(2*Side of Rhombus^2)). Here is an example- 7351.973 = acos(1-18^2/(2*10^2)).

How to calculate Obtuse Angle of Rhombus given Long Diagonal?

With Long Diagonal of Rhombus (d_Long) & Side of Rhombus (S) we can find Obtuse Angle of Rhombus given Long Diagonal using the formula - Obtuse Angle of Rhombus = acos(1-Long Diagonal of Rhombus^2/(2*Side of Rhombus^2)). This formula also uses Cosine (cos), Inverse Cosine (acos) function(s).

What are the other ways to Calculate Obtuse Angle of Rhombus?

Here are the different ways to Calculate Obtuse Angle of Rhombus-

Obtuse Angle of Rhombus=acos(Short Diagonal of Rhombus^2/(2*Side of Rhombus^2)-1)
Obtuse Angle of Rhombus=2*acos(Short Diagonal of Rhombus/sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))
Obtuse Angle of Rhombus=pi-asin(Area of Rhombus/Side of Rhombus^2)

Can the Obtuse Angle of Rhombus given Long Diagonal be negative?

No, the Obtuse Angle of Rhombus given Long Diagonal, measured in Angle cannot be negative.

Which unit is used to measure Obtuse Angle of Rhombus given Long Diagonal?

Obtuse Angle of Rhombus given Long Diagonal is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Obtuse Angle of Rhombus given Long Diagonal can be measured.

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