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

∠_Obtuse - Obtuse Angle of Rhombus?d_Short - Short Diagonal of Rhombus?d_Long - Long Diagonal of Rhombus?

Obtuse Angle of Rhombus given both Diagonals Example

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Here is how the Obtuse Angle of Rhombus given both Diagonals equation looks like with Values.

Here is how the Obtuse Angle of Rhombus given both Diagonals equation looks like with Units.

Here is how the Obtuse Angle of Rhombus given both Diagonals equation looks like.

132.075 = 2 \cdot a \cos (\frac{8}{\sqrt{18^{2} + 8^{2}}})

132.075° = 2 \cdot a \cos (\frac{8m}{\sqrt{{18m}^{2} + {8m}^{2}}})

132.075 = 2 \cdot a \cos (\frac{8}{\sqrt{18^{2} + 8^{2}}})

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Obtuse Angle of Rhombus given both Diagonals Solution

Follow our step by step solution on how to calculate Obtuse Angle of Rhombus given both Diagonals?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

∠ Obtuse = 2 \cdot a \cos (\frac{8m}{\sqrt{{18m}^{2} + {8m}^{2}}})

Next Step Prepare to Evaluate

∴

∠ Obtuse = 2 \cdot a \cos (\frac{8}{\sqrt{18^{2} + 8^{2}}})

Next Step Evaluate

∴

∠ Obtuse = 2.30514399443133rad

Next Step Convert to Output's Unit

∴

∠ Obtuse = 132.075022050868°

LAST Step Rounding Answer

∴

∠ Obtuse = 132.075°

Obtuse Angle of Rhombus given both Diagonals 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

Short Diagonal of Rhombus

A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus.

Symbol: d_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Diagonal 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

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)

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)

Other formulas in Obtuse Angle of Rhombus category

Go Acute Angle of Rhombus given both Diagonals

∠ Acute = a \sin (\frac{2 \cdot d Long \cdot d Short}{{d Long}^{2} + {d Short}^{2}})

Go Acute Angle of Rhombus given Long Diagonal

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

Go Acute Angle of Rhombus given Short Diagonal

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

How to Evaluate Obtuse Angle of Rhombus given both Diagonals?

Obtuse Angle of Rhombus given both Diagonals evaluator uses Obtuse Angle of Rhombus = 2*acos(Short Diagonal of Rhombus/sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2)) to evaluate the Obtuse Angle of Rhombus, Obtuse Angle of Rhombus given both Diagonals is defined as the angle inside the Rhombus which is greater than 90 degrees, calculated using both diagonals. Obtuse Angle of Rhombus is denoted by ∠_Obtuse symbol.

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

FAQs on Obtuse Angle of Rhombus given both Diagonals

What is the formula to find Obtuse Angle of Rhombus given both Diagonals?

The formula of Obtuse Angle of Rhombus given both Diagonals is expressed as Obtuse Angle of Rhombus = 2*acos(Short Diagonal of Rhombus/sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2)). Here is an example- 7567.341 = 2*acos(8/sqrt(18^2+8^2)).

How to calculate Obtuse Angle of Rhombus given both Diagonals?

With Short Diagonal of Rhombus (d_Short) & Long Diagonal of Rhombus (d_Long) we can find Obtuse Angle of Rhombus given both Diagonals using the formula - Obtuse Angle of Rhombus = 2*acos(Short Diagonal of Rhombus/sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2)). This formula also uses Cosine (cos)Inverse Cosine (acos), Square Root (sqrt) function(s).

Can the Obtuse Angle of Rhombus given both Diagonals be negative?

No, the Obtuse Angle of Rhombus given both Diagonals, measured in Angle cannot be negative.

Which unit is used to measure Obtuse Angle of Rhombus given both Diagonals?

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

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