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Perimeter of Rhombus given Long Diagonal and Obtuse Angle 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}{\sin (\frac{∠ Obtuse}{2})}

P - Perimeter of Rhombus?d_Long - Long Diagonal of Rhombus?∠_Obtuse - Obtuse Angle of Rhombus?

Perimeter of Rhombus given Long Diagonal and Obtuse Angle Example

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

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

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

38.9661 = \frac{2 \cdot 18}{\sin (\frac{135}{2})}

38.9661m = \frac{2 \cdot 18m}{\sin (\frac{135°}{2})}

38.9661 = \frac{2 \cdot 18}{\sin (\frac{135}{2})}

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Perimeter of Rhombus given Long Diagonal and Obtuse Angle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = \frac{2 \cdot 18m}{\sin (\frac{135°}{2})}

Next Step Convert Units

∴

P = \frac{2 \cdot 18m}{\sin (\frac{2.3562rad}{2})}

Next Step Prepare to Evaluate

∴

P = \frac{2 \cdot 18}{\sin (\frac{2.3562}{2})}

Next Step Evaluate

∴

P = 38.9661192105298m

LAST Step Rounding Answer

∴

P = 38.9661m

Perimeter of Rhombus given Long Diagonal and Obtuse Angle 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

Obtuse Angle of Rhombus

Obtuse Angle of Rhombus is the angle inside the Rhombus which is greater than 90 degree.

Symbol: ∠_Obtuse

Measurement: AngleUnit: °

Note: Value should be between 90 to 180.

Formulas to find Obtuse 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 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 Long Diagonal

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

Go Perimeter of Rhombus given Short Diagonal

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

How to Evaluate Perimeter of Rhombus given Long Diagonal and Obtuse Angle?

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

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

FAQs on Perimeter of Rhombus given Long Diagonal and Obtuse Angle

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

The formula of Perimeter of Rhombus given Long Diagonal and Obtuse Angle is expressed as Perimeter of Rhombus = (2*Long Diagonal of Rhombus)/sin(Obtuse Angle of Rhombus/2). Here is an example- 38.96612 = (2*18)/sin(2.3561944901919/2).

How to calculate Perimeter of Rhombus given Long Diagonal and Obtuse Angle?

With Long Diagonal of Rhombus (d_Long) & Obtuse Angle of Rhombus (∠_Obtuse) we can find Perimeter of Rhombus given Long Diagonal and Obtuse Angle using the formula - Perimeter of Rhombus = (2*Long Diagonal of Rhombus)/sin(Obtuse Angle of Rhombus/2). This formula also uses Sine (sin) 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*Long Diagonal of Rhombus)/cos(Acute Angle of Rhombus/2)

Can the Perimeter of Rhombus given Long Diagonal and Obtuse Angle be negative?

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

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

Perimeter of Rhombus given Long Diagonal and Obtuse Angle 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 and Obtuse Angle can be measured.

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