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Perimeter of Rhombus given Area Formula

GoPerimeter of Rhombus Formula

GoPerimeter of Rhombus given Long Diagonal Formula

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

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

P - Perimeter of Rhombus?A - Area of Rhombus?∠_Acute - Acute Angle of Rhombus?

Perimeter of Rhombus given Area Example

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

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

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

39.7985 = 4 \cdot \sqrt{\frac{70}{\sin (45)}}

39.7985m = 4 \cdot \sqrt{\frac{70m²}{\sin (45°)}}

39.7985 = 4 \cdot \sqrt{\frac{70}{\sin (45)}}

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Perimeter of Rhombus given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 4 \cdot \sqrt{\frac{70m²}{\sin (45°)}}

Next Step Convert Units

∴

P = 4 \cdot \sqrt{\frac{70m²}{\sin (0.7854rad)}}

Next Step Prepare to Evaluate

∴

P = 4 \cdot \sqrt{\frac{70}{\sin (0.7854)}}

Next Step Evaluate

∴

P = 39.7984822557105m

LAST Step Rounding Answer

∴

P = 39.7985m

Perimeter of Rhombus given Area 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

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

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)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Perimeter of Rhombus

Go Perimeter of Rhombus

P = 4 \cdot S

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})}

Go Perimeter of Rhombus given Inradius

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

How to Evaluate Perimeter of Rhombus given Area?

Perimeter of Rhombus given Area evaluator uses Perimeter of Rhombus = 4*sqrt(Area of Rhombus/sin(Acute Angle of Rhombus)) to evaluate the Perimeter of Rhombus, The Perimeter of Rhombus given Area formula is defined as the total distance around the edge of the Rhombus, calculated using the area of the Rhombus. Perimeter of Rhombus is denoted by P symbol.

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

FAQs on Perimeter of Rhombus given Area

What is the formula to find Perimeter of Rhombus given Area?

The formula of Perimeter of Rhombus given Area is expressed as Perimeter of Rhombus = 4*sqrt(Area of Rhombus/sin(Acute Angle of Rhombus)). Here is an example- 39.79848 = 4*sqrt(70/sin(0.785398163397301)).

How to calculate Perimeter of Rhombus given Area?

With Area of Rhombus (A) & Acute Angle of Rhombus (∠_Acute) we can find Perimeter of Rhombus given Area using the formula - Perimeter of Rhombus = 4*sqrt(Area of Rhombus/sin(Acute Angle of Rhombus)). This formula also uses Sine (sin), Square Root (sqrt) 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=(2*Long Diagonal of Rhombus)/cos(Acute Angle of Rhombus/2)
Perimeter of Rhombus=(2*Short Diagonal of Rhombus)/sin(Acute Angle of Rhombus/2)

Can the Perimeter of Rhombus given Area be negative?

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

Which unit is used to measure Perimeter of Rhombus given Area?

Perimeter 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 Perimeter of Rhombus given Area can be measured.

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