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Long Diagonal of Rhombus given Area Formula

GoLong Diagonal of Rhombus given Obtuse angle Formula

GoLong Diagonal of Rhombus 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{A}{S \cdot \sin (\frac{∠ Acute}{2})}

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

Long Diagonal of Rhombus given Area Example

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

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

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

18.2919 = \frac{70}{10 \cdot \sin (\frac{45}{2})}

18.2919m = \frac{70m²}{10m \cdot \sin (\frac{45°}{2})}

18.2919 = \frac{70}{10 \cdot \sin (\frac{45}{2})}

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Long Diagonal of Rhombus given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Long = \frac{70m²}{10m \cdot \sin (\frac{45°}{2})}

Next Step Convert Units

∴

d Long = \frac{70m²}{10m \cdot \sin (\frac{0.7854rad}{2})}

Next Step Prepare to Evaluate

∴

d Long = \frac{70}{10 \cdot \sin (\frac{0.7854}{2})}

Next Step Evaluate

∴

d Long = 18.2918815082725m

LAST Step Rounding Answer

∴

d Long = 18.2919m

Long Diagonal of Rhombus given Area 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

Area of Rhombus

Area of Rhombus is the amount of two-dimensional space occupied by the Rhombus.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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

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 given Obtuse angle

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

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}}

How to Evaluate Long Diagonal of Rhombus given Area?

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

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

FAQs on Long Diagonal of Rhombus given Area

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

The formula of Long Diagonal of Rhombus given Area is expressed as Long Diagonal of Rhombus = Area of Rhombus/(Side of Rhombus*sin(Acute Angle of Rhombus/2)). Here is an example- 18.29188 = 70/(10*sin(0.785398163397301/2)).

How to calculate Long Diagonal of Rhombus given Area?

With Area of Rhombus (A), Side of Rhombus (S) & Acute Angle of Rhombus (∠_Acute) we can find Long Diagonal of Rhombus given Area using the formula - Long Diagonal of Rhombus = Area of Rhombus/(Side of Rhombus*sin(Acute Angle of Rhombus/2)). This formula also uses Sine (sin) 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*sin(Obtuse Angle of Rhombus/2)
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)

Can the Long Diagonal of Rhombus given Area be negative?

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

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

Long Diagonal of Rhombus given Area 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 Area can be measured.

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Long Diagonal of Rhombus given Area Formula

​GoLong Diagonal of Rhombus given Obtuse angle Formula

​GoLong Diagonal of Rhombus Formula

Long Diagonal of Rhombus given Area Example

Long Diagonal of Rhombus given Area Solution

Long Diagonal of Rhombus given Area Formula Elements

Other Formulas to find Long Diagonal of Rhombus

How to Evaluate Long Diagonal of Rhombus given Area?

FAQs on Long Diagonal of Rhombus given Area

Variable Name

GoLong Diagonal of Rhombus given Obtuse angle Formula

GoLong Diagonal of Rhombus Formula