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Area of Rhombus given Perimeter Formula

GoArea of Rhombus Formula

GoArea of Rhombus given Inradius Formula

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

A = {(\frac{P}{4})}^{2} \cdot \sin (∠ Acute)

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

Area of Rhombus given Perimeter Example

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

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

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

70.7107 = {(\frac{40}{4})}^{2} \cdot \sin (45)

70.7107m² = {(\frac{40m}{4})}^{2} \cdot \sin (45°)

70.7107 = {(\frac{40}{4})}^{2} \cdot \sin (45)

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Area of Rhombus given Perimeter Solution

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

FIRST Step Consider the formula

A = {(\frac{P}{4})}^{2} \cdot \sin (∠ Acute)

Next Step Substitute values of Variables

∴

A = {(\frac{40m}{4})}^{2} \cdot \sin (45°)

Next Step Convert Units

∴

A = {(\frac{40m}{4})}^{2} \cdot \sin (0.7854rad)

Next Step Prepare to Evaluate

∴

A = {(\frac{40}{4})}^{2} \cdot \sin (0.7854)

Next Step Evaluate

∴

A = 70.7106781186443m²

LAST Step Rounding Answer

∴

A = 70.7107m²

Area of Rhombus given Perimeter 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

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

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

A = S^{2} \cdot \sin (∠ Acute)

Go Area of Rhombus given Inradius

A = 2 \cdot S \cdot r i

Go Area of Rhombus given Inradius and Obtuse Angle

A = \frac{4 \cdot {r i}^{2}}{\sin (∠ Obtuse)}

Go Area of Rhombus given Height

A = S \cdot h

How to Evaluate Area of Rhombus given Perimeter?

Area of Rhombus given Perimeter evaluator uses Area of Rhombus = (Perimeter of Rhombus/4)^2*sin(Acute Angle of Rhombus) to evaluate the Area of Rhombus, The Area of Rhombus given Perimeter formula is defined as the amount of 2-dimensional space included within the boundary of the Rhombus, calculated using the perimeter of the Rhombus. Area of Rhombus is denoted by A symbol.

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

FAQs on Area of Rhombus given Perimeter

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

The formula of Area of Rhombus given Perimeter is expressed as Area of Rhombus = (Perimeter of Rhombus/4)^2*sin(Acute Angle of Rhombus). Here is an example- 70.71068 = (40/4)^2*sin(0.785398163397301).

How to calculate Area of Rhombus given Perimeter?

With Perimeter of Rhombus (P) & Acute Angle of Rhombus (∠_Acute) we can find Area of Rhombus given Perimeter using the formula - Area of Rhombus = (Perimeter of Rhombus/4)^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=Side of Rhombus^2*sin(Acute Angle of Rhombus)
Area of Rhombus=2*Side of Rhombus*Inradius of Rhombus
Area of Rhombus=(4*Inradius of Rhombus^2)/sin(Obtuse Angle of Rhombus)

Can the Area of Rhombus given Perimeter be negative?

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

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

Area of Rhombus given Perimeter 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 given Perimeter can be measured.

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