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Side of Rhombus given Area Formula

GoSide of Rhombus given Perimeter Formula

GoSide of Rhombus given Short Diagonal Formula

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The Side of Rhombus is the length of any of the four edges. Check FAQs

S = \sqrt{\frac{A}{\sin (∠ Acute)}}

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

Side of Rhombus given Area Example

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

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

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

9.9496 = \sqrt{\frac{70}{\sin (45)}}

9.9496m = \sqrt{\frac{70m²}{\sin (45°)}}

9.9496 = \sqrt{\frac{70}{\sin (45)}}

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Side of Rhombus given Area Solution

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

FIRST Step Consider the formula

S = \sqrt{\frac{A}{\sin (∠ Acute)}}

Next Step Substitute values of Variables

∴

S = \sqrt{\frac{70m²}{\sin (45°)}}

Next Step Convert Units

∴

S = \sqrt{\frac{70m²}{\sin (0.7854rad)}}

Next Step Prepare to Evaluate

∴

S = \sqrt{\frac{70}{\sin (0.7854)}}

Next Step Evaluate

∴

S = 9.94962056392761m

LAST Step Rounding Answer

∴

S = 9.9496m

Side of Rhombus given Area Formula Elements

Variables

Functions

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

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 Side of Rhombus

Go Side of Rhombus given Perimeter

S = \frac{P}{4}

Go Side of Rhombus given Short Diagonal

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

Go Side of Rhombus given Short Diagonal and Obtuse Angle

S = \frac{d Short}{2 \cdot \cos (\frac{∠ Obtuse}{2})}

Go Side of Rhombus given Long Diagonal and Obtuse Angle

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

How to Evaluate Side of Rhombus given Area?

Side of Rhombus given Area evaluator uses Side of Rhombus = sqrt(Area of Rhombus/sin(Acute Angle of Rhombus)) to evaluate the Side of Rhombus, The Side of Rhombus given Area formula is defined as the length of the line segment that joins two adjacent vertices of the Rhombus, calculated using the area of the Rhombus. Side of Rhombus is denoted by S symbol.

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

FAQs on Side of Rhombus given Area

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

The formula of Side of Rhombus given Area is expressed as Side of Rhombus = sqrt(Area of Rhombus/sin(Acute Angle of Rhombus)). Here is an example- 9.949621 = sqrt(70/sin(0.785398163397301)).

How to calculate Side of Rhombus given Area?

With Area of Rhombus (A) & Acute Angle of Rhombus (∠_Acute) we can find Side of Rhombus given Area using the formula - Side of Rhombus = 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 Side of Rhombus?

Here are the different ways to Calculate Side of Rhombus-

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

Can the Side of Rhombus given Area be negative?

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

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

Side 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 Side of Rhombus given Area can be measured.

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