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Area of Rhombus Formula

GoArea of Rhombus given Both Diagonals Formula

GoArea of Rhombus given Height Formula

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Area of Rhombus is the amount of two-dimensional space occupied by the Rhombus. Check FAQs

A = S^{2} \cdot \sin (∠ Acute)

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

Area of Rhombus Example

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With units

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

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

Here is how the Area of Rhombus equation looks like.

70.7107 = 10^{2} \cdot \sin (45)

70.7107m² = {10m}^{2} \cdot \sin (45°)

70.7107 = 10^{2} \cdot \sin (45)

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Area of Rhombus Solution

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

FIRST Step Consider the formula

A = S^{2} \cdot \sin (∠ Acute)

Next Step Substitute values of Variables

∴

A = {10m}^{2} \cdot \sin (45°)

Next Step Convert Units

∴

A = {10m}^{2} \cdot \sin (0.7854rad)

Next Step Prepare to Evaluate

∴

A = 10^{2} \cdot \sin (0.7854)

Next Step Evaluate

∴

A = 70.7106781186443m²

LAST Step Rounding Answer

∴

A = 70.7107m²

Area of Rhombus Formula Elements

Variables

Functions

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

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

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)

Other Formulas to find Area of Rhombus

Go Area of Rhombus given Both Diagonals

A = \frac{d Long \cdot d Short}{2}

Go Area of Rhombus given Height

A = S \cdot h

Go Area of Rhombus given Inradius

A = 2 \cdot S \cdot r i

How to Evaluate Area of Rhombus?

Area of Rhombus evaluator uses Area of Rhombus = Side of Rhombus^2*sin(Acute Angle of Rhombus) to evaluate the Area of Rhombus, Area of Rhombus is be defined as the amount of 2-dimensional space inside the boundary of a Rhombus. Area of Rhombus is denoted by A symbol.

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

FAQs on Area of Rhombus

What is the formula to find Area of Rhombus?

The formula of Area of Rhombus is expressed as Area of Rhombus = Side of Rhombus^2*sin(Acute Angle of Rhombus). Here is an example- 70.71068 = 10^2*sin(0.785398163397301).

How to calculate Area of Rhombus?

With Side of Rhombus (S) & Acute Angle of Rhombus (∠_Acute) we can find Area of Rhombus using the formula - Area of Rhombus = Side of Rhombus^2*sin(Acute Angle of Rhombus). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Area of Rhombus?

Here are the different ways to Calculate Area of Rhombus-

Area of Rhombus=(Long Diagonal of Rhombus*Short Diagonal of Rhombus)/2
Area of Rhombus=Side of Rhombus*Height of Rhombus
Area of Rhombus=2*Side of Rhombus*Inradius of Rhombus

Can the Area of Rhombus be negative?

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

Which unit is used to measure Area of Rhombus?

Area of Rhombus is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Rhombus can be measured.

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