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Long Diagonal of Rhombus Formula

GoLong Diagonal of Rhombus given Area and Short Diagonal 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 \cos (\frac{∠ Acute}{2})

d_Long - Long Diagonal of Rhombus?S - Side of Rhombus?∠_Acute - Acute Angle of Rhombus?

Long Diagonal of Rhombus Example

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

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

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

18.4776 = 2 \cdot 10 \cdot \cos (\frac{45}{2})

18.4776m = 2 \cdot 10m \cdot \cos (\frac{45°}{2})

18.4776 = 2 \cdot 10 \cdot \cos (\frac{45}{2})

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Long Diagonal of Rhombus Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Long = 2 \cdot 10m \cdot \cos (\frac{45°}{2})

Next Step Convert Units

∴

d Long = 2 \cdot 10m \cdot \cos (\frac{0.7854rad}{2})

Next Step Prepare to Evaluate

∴

d Long = 2 \cdot 10 \cdot \cos (\frac{0.7854}{2})

Next Step Evaluate

∴

d Long = 18.4775906502263m

LAST Step Rounding Answer

∴

d Long = 18.4776m

Long Diagonal of Rhombus 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

Acute Angle of Rhombus

Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.

Symbol: ∠_Acute

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Acute Angle 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)

Other Formulas to find Long Diagonal of Rhombus

Go Long Diagonal of Rhombus given Area and Short Diagonal

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

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}}

Other formulas in Long Diagonal of Rhombus category

Go Short Diagonal of Rhombus

d Short = 2 \cdot S \cdot \sin (\frac{∠ Acute}{2})

Go Short Diagonal of Rhombus given Area and Long Diagonal

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

Go Short Diagonal of Rhombus given Long Diagonal and Acute Angle

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

Go Short Diagonal of Rhombus given Long Diagonal and Side

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

How to Evaluate Long Diagonal of Rhombus?

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

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

FAQs on Long Diagonal of Rhombus

What is the formula to find Long Diagonal of Rhombus?

The formula of Long Diagonal of Rhombus is expressed as Long Diagonal of Rhombus = 2*Side of Rhombus*cos(Acute Angle of Rhombus/2). Here is an example- 18.47759 = 2*10*cos(0.785398163397301/2).

How to calculate Long Diagonal of Rhombus?

With Side of Rhombus (S) & Acute Angle of Rhombus (∠_Acute) we can find Long Diagonal of Rhombus using the formula - Long Diagonal of Rhombus = 2*Side of Rhombus*cos(Acute Angle of Rhombus/2). This formula also uses Cosine (cos) 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*Area of Rhombus)/(Short Diagonal of Rhombus)
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 be negative?

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

Which unit is used to measure Long Diagonal of Rhombus?

Long Diagonal of Rhombus 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 can be measured.

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