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Perimeter of Rhombus given Long Diagonal Formula

GoPerimeter of Rhombus Formula

GoPerimeter of Rhombus given Area Formula

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

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

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

Perimeter of Rhombus given Long Diagonal Example

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

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

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

38.9661 = \frac{2 \cdot 18}{\cos (\frac{45}{2})}

38.9661m = \frac{2 \cdot 18m}{\cos (\frac{45°}{2})}

38.9661 = \frac{2 \cdot 18}{\cos (\frac{45}{2})}

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Perimeter of Rhombus given Long Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = \frac{2 \cdot 18m}{\cos (\frac{45°}{2})}

Next Step Convert Units

∴

P = \frac{2 \cdot 18m}{\cos (\frac{0.7854rad}{2})}

Next Step Prepare to Evaluate

∴

P = \frac{2 \cdot 18}{\cos (\frac{0.7854}{2})}

Next Step Evaluate

∴

P = 38.966119210525m

LAST Step Rounding Answer

∴

P = 38.9661m

Perimeter of Rhombus given Long Diagonal Formula Elements

Variables

Functions

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

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

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 Perimeter of Rhombus

Go Perimeter of Rhombus

P = 4 \cdot S

Go Perimeter of Rhombus given Area

P = 4 \cdot \sqrt{\frac{A}{\sin (∠ Acute)}}

Go Perimeter of Rhombus given Short Diagonal

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

Go Perimeter of Rhombus given Inradius

P = \frac{8 \cdot r i}{\sin (∠ Acute)}

How to Evaluate Perimeter of Rhombus given Long Diagonal?

Perimeter of Rhombus given Long Diagonal evaluator uses Perimeter of Rhombus = (2*Long Diagonal of Rhombus)/cos(Acute Angle of Rhombus/2) to evaluate the Perimeter of Rhombus, The Perimeter of Rhombus given Long Diagonal formula is defined as the total distance around the edge of the Rhombus, calculated using the long diagonal of the Rhombus. Perimeter of Rhombus is denoted by P symbol.

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

FAQs on Perimeter of Rhombus given Long Diagonal

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

The formula of Perimeter of Rhombus given Long Diagonal is expressed as Perimeter of Rhombus = (2*Long Diagonal of Rhombus)/cos(Acute Angle of Rhombus/2). Here is an example- 38.96612 = (2*18)/cos(0.785398163397301/2).

How to calculate Perimeter of Rhombus given Long Diagonal?

With Long Diagonal of Rhombus (d_Long) & Acute Angle of Rhombus (∠_Acute) we can find Perimeter of Rhombus given Long Diagonal using the formula - Perimeter of Rhombus = (2*Long Diagonal of Rhombus)/cos(Acute Angle of Rhombus/2). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Perimeter of Rhombus?

Here are the different ways to Calculate Perimeter of Rhombus-

Perimeter of Rhombus=4*Side of Rhombus
Perimeter of Rhombus=4*sqrt(Area of Rhombus/sin(Acute Angle of Rhombus))
Perimeter of Rhombus=(2*Short Diagonal of Rhombus)/sin(Acute Angle of Rhombus/2)

Can the Perimeter of Rhombus given Long Diagonal be negative?

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

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

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

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