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Area of Rhombus given Inradius and Obtuse Angle 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{4 \cdot {r i}^{2}}{\sin (∠ Obtuse)}

A - Area of Rhombus?r_i - Inradius of Rhombus?∠_Obtuse - Obtuse Angle of Rhombus?

Area of Rhombus given Inradius and Obtuse Angle Example

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Here is how the Area of Rhombus given Inradius and Obtuse Angle equation looks like with Values.

Here is how the Area of Rhombus given Inradius and Obtuse Angle equation looks like with Units.

Here is how the Area of Rhombus given Inradius and Obtuse Angle equation looks like.

50.9117 = \frac{4 \cdot 3^{2}}{\sin (135)}

50.9117m² = \frac{4 \cdot {3m}^{2}}{\sin (135°)}

50.9117 = \frac{4 \cdot 3^{2}}{\sin (135)}

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Area of Rhombus given Inradius and Obtuse Angle Solution

Follow our step by step solution on how to calculate Area of Rhombus given Inradius and Obtuse Angle?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{4 \cdot {3m}^{2}}{\sin (135°)}

Next Step Convert Units

∴

A = \frac{4 \cdot {3m}^{2}}{\sin (2.3562rad)}

Next Step Prepare to Evaluate

∴

A = \frac{4 \cdot 3^{2}}{\sin (2.3562)}

Next Step Evaluate

∴

A = 50.9116882454088m²

LAST Step Rounding Answer

∴

A = 50.9117m²

Area of Rhombus given Inradius and Obtuse Angle 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

Inradius of Rhombus

The Inradius of Rhombus is defined as the radius of the circle which is inscribed inside the Rhombus.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius 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 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 Height

A = S \cdot h

Go Area of Rhombus given Both Diagonals

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

How to Evaluate Area of Rhombus given Inradius and Obtuse Angle?

Area of Rhombus given Inradius and Obtuse Angle evaluator uses Area of Rhombus = (4*Inradius of Rhombus^2)/sin(Obtuse Angle of Rhombus) to evaluate the Area of Rhombus, Area of Rhombus given Inradius and Obtuse Angle can be defined as the amount of space included within the boundary of the Rhombus, calculated using the inradius and obtuse angle of the Rhombus. Area of Rhombus is denoted by A symbol.

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

FAQs on Area of Rhombus given Inradius and Obtuse Angle

What is the formula to find Area of Rhombus given Inradius and Obtuse Angle?

The formula of Area of Rhombus given Inradius and Obtuse Angle is expressed as Area of Rhombus = (4*Inradius of Rhombus^2)/sin(Obtuse Angle of Rhombus). Here is an example- 50.91169 = (4*3^2)/sin(2.3561944901919).

How to calculate Area of Rhombus given Inradius and Obtuse Angle?

With Inradius of Rhombus (r_i) & Obtuse Angle of Rhombus (∠_Obtuse) we can find Area of Rhombus given Inradius and Obtuse Angle using the formula - Area of Rhombus = (4*Inradius of Rhombus^2)/sin(Obtuse 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=Side of Rhombus*Height of Rhombus

Can the Area of Rhombus given Inradius and Obtuse Angle be negative?

No, the Area of Rhombus given Inradius and Obtuse Angle, measured in Area cannot be negative.

Which unit is used to measure Area of Rhombus given Inradius and Obtuse Angle?

Area of Rhombus given Inradius and Obtuse Angle 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 Inradius and Obtuse Angle can be measured.

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