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Long Diagonal of Rhombus given Obtuse angle Formula

GoLong Diagonal of Rhombus Formula

GoLong Diagonal of Rhombus given Short Diagonal and Acute Angle Formula

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

d Long = 2 \cdot S \cdot \sin (\frac{∠ Obtuse}{2})

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

Long Diagonal of Rhombus given Obtuse angle Example

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

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

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

18.4776 = 2 \cdot 10 \cdot \sin (\frac{135}{2})

18.4776m = 2 \cdot 10m \cdot \sin (\frac{135°}{2})

18.4776 = 2 \cdot 10 \cdot \sin (\frac{135}{2})

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Long Diagonal of Rhombus given Obtuse angle Solution

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

FIRST Step Consider the formula

d Long = 2 \cdot S \cdot \sin (\frac{∠ Obtuse}{2})

Next Step Substitute values of Variables

∴

d Long = 2 \cdot 10m \cdot \sin (\frac{135°}{2})

Next Step Convert Units

∴

d Long = 2 \cdot 10m \cdot \sin (\frac{2.3562rad}{2})

Next Step Prepare to Evaluate

∴

d Long = 2 \cdot 10 \cdot \sin (\frac{2.3562}{2})

Next Step Evaluate

∴

d Long = 18.477590650224m

LAST Step Rounding Answer

∴

d Long = 18.4776m

Long Diagonal of Rhombus given Obtuse angle Formula Elements

Variables

Functions

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

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

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)

Other Formulas to find Long Diagonal of Rhombus

Go Long Diagonal of Rhombus

d Long = 2 \cdot S \cdot \cos (\frac{∠ Acute}{2})

Go Long Diagonal of Rhombus given Short Diagonal and Acute Angle

d Long = \frac{d Short}{\tan (\frac{∠ Acute}{2})}

Go Long Diagonal of Rhombus given Short Diagonal and Side

d Long = \sqrt{4 \cdot S^{2} - {d Short}^{2}}

Go Long Diagonal of Rhombus given Area and Short Diagonal

d Long = \frac{2 \cdot A}{d Short}

How to Evaluate Long Diagonal of Rhombus given Obtuse angle?

Long Diagonal of Rhombus given Obtuse angle evaluator uses Long Diagonal of Rhombus = 2*Side of Rhombus*sin(Obtuse Angle of Rhombus/2) to evaluate the Long Diagonal of Rhombus, The Long Diagonal of Rhombus given Obtuse Angle is defined as the length of the line joining the acute angle corners of the Rhombus, calculated using the obtuse angle of the Rhombus. Long Diagonal of Rhombus is denoted by d_Long symbol.

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

FAQs on Long Diagonal of Rhombus given Obtuse angle

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

The formula of Long Diagonal of Rhombus given Obtuse angle is expressed as Long Diagonal of Rhombus = 2*Side of Rhombus*sin(Obtuse Angle of Rhombus/2). Here is an example- 18.47759 = 2*10*sin(2.3561944901919/2).

How to calculate Long Diagonal of Rhombus given Obtuse angle?

With Side of Rhombus (S) & Obtuse Angle of Rhombus (∠_Obtuse) we can find Long Diagonal of Rhombus given Obtuse angle using the formula - Long Diagonal of Rhombus = 2*Side of Rhombus*sin(Obtuse Angle of Rhombus/2). This formula also uses Sine function(s).

What are the other ways to Calculate Long Diagonal of Rhombus?

Here are the different ways to Calculate Long Diagonal of Rhombus-

Long Diagonal of Rhombus=2*Side of Rhombus*cos(Acute Angle of Rhombus/2)
Long Diagonal of Rhombus=Short Diagonal of Rhombus/tan(Acute Angle of Rhombus/2)
Long Diagonal of Rhombus=sqrt(4*Side of Rhombus^2-Short Diagonal of Rhombus^2)

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

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

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

Long Diagonal of Rhombus given Obtuse angle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Long Diagonal of Rhombus given Obtuse angle can be measured.

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