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Long Diagonal of Rhombus given Perimeter 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{P}{2} \cdot \cos (\frac{∠ Acute}{2})

d_Long - Long Diagonal of Rhombus?P - Perimeter of Rhombus?∠_Acute - Acute Angle of Rhombus?

Long Diagonal of Rhombus given Perimeter Example

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

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

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

18.4776 = \frac{40}{2} \cdot \cos (\frac{45}{2})

18.4776m = \frac{40m}{2} \cdot \cos (\frac{45°}{2})

18.4776 = \frac{40}{2} \cdot \cos (\frac{45}{2})

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Long Diagonal of Rhombus given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Long = \frac{40m}{2} \cdot \cos (\frac{45°}{2})

Next Step Convert Units

∴

d Long = \frac{40m}{2} \cdot \cos (\frac{0.7854rad}{2})

Next Step Prepare to Evaluate

∴

d Long = \frac{40}{2} \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 given Perimeter 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

Perimeter of Rhombus

The Perimeter of Rhombus is the total distance around the edge of the Rhombus.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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 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 Perimeter?

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

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

FAQs on Long Diagonal of Rhombus given Perimeter

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

The formula of Long Diagonal of Rhombus given Perimeter is expressed as Long Diagonal of Rhombus = Perimeter of Rhombus/2*cos(Acute Angle of Rhombus/2). Here is an example- 18.47759 = 40/2*cos(0.785398163397301/2).

How to calculate Long Diagonal of Rhombus given Perimeter?

With Perimeter of Rhombus (P) & Acute Angle of Rhombus (∠_Acute) we can find Long Diagonal of Rhombus given Perimeter using the formula - Long Diagonal of Rhombus = Perimeter of Rhombus/2*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*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 Perimeter be negative?

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

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

Long Diagonal of Rhombus given Perimeter 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 Perimeter can be measured.

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