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Long Diagonal of Rhombus given Short Diagonal and Acute Angle Formula

GoLong Diagonal of Rhombus Formula

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

d_Long - Long Diagonal of Rhombus?d_Short - Short Diagonal of Rhombus?∠_Acute - Acute Angle of Rhombus?

Long Diagonal of Rhombus given Short Diagonal and Acute Angle Example

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

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

Here is how the Long Diagonal of Rhombus given Short Diagonal and Acute Angle equation looks like.

19.3137 = \frac{8}{\tan (\frac{45}{2})}

19.3137m = \frac{8m}{\tan (\frac{45°}{2})}

19.3137 = \frac{8}{\tan (\frac{45}{2})}

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Long Diagonal of Rhombus given Short Diagonal and Acute Angle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Long = \frac{8m}{\tan (\frac{45°}{2})}

Next Step Convert Units

∴

d Long = \frac{8m}{\tan (\frac{0.7854rad}{2})}

Next Step Prepare to Evaluate

∴

d Long = \frac{8}{\tan (\frac{0.7854}{2})}

Next Step Evaluate

∴

d Long = 19.3137084989888m

LAST Step Rounding Answer

∴

d Long = 19.3137m

Long Diagonal of Rhombus given Short Diagonal and Acute 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

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

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

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(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 Area and Short Diagonal

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

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 given Short Diagonal and Acute Angle?

Long Diagonal of Rhombus given Short Diagonal and Acute Angle evaluator uses Long Diagonal of Rhombus = Short Diagonal of Rhombus/tan(Acute Angle of Rhombus/2) to evaluate the Long Diagonal of Rhombus, Long Diagonal of Rhombus given Short Diagonal and Acute Angle formula is defined as the length of the line joining the acute angle corners of the Rhombus, calculated using the short diagonal and acute angle of the Rhombus. Long Diagonal of Rhombus is denoted by d_Long symbol.

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

FAQs on Long Diagonal of Rhombus given Short Diagonal and Acute Angle

What is the formula to find Long Diagonal of Rhombus given Short Diagonal and Acute Angle?

The formula of Long Diagonal of Rhombus given Short Diagonal and Acute Angle is expressed as Long Diagonal of Rhombus = Short Diagonal of Rhombus/tan(Acute Angle of Rhombus/2). Here is an example- 19.31371 = 8/tan(0.785398163397301/2).

How to calculate Long Diagonal of Rhombus given Short Diagonal and Acute Angle?

With Short Diagonal of Rhombus (d_Short) & Acute Angle of Rhombus (∠_Acute) we can find Long Diagonal of Rhombus given Short Diagonal and Acute Angle using the formula - Long Diagonal of Rhombus = Short Diagonal of Rhombus/tan(Acute Angle of Rhombus/2). This formula also uses Tangent (tan) 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=(2*Area of Rhombus)/(Short Diagonal of Rhombus)
Long Diagonal of Rhombus=sqrt(4*Side of Rhombus^2-Short Diagonal of Rhombus^2)

Can the Long Diagonal of Rhombus given Short Diagonal and Acute Angle be negative?

No, the Long Diagonal of Rhombus given Short Diagonal and Acute Angle, measured in Length cannot be negative.

Which unit is used to measure Long Diagonal of Rhombus given Short Diagonal and Acute Angle?

Long Diagonal of Rhombus given Short Diagonal and Acute 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 Short Diagonal and Acute Angle can be measured.

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