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Inradius of Rhombus Formula

GoInradius of Rhombus given Area and Side Formula

GoInradius of Rhombus given both Diagonals Formula

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

r i = \frac{S \cdot \sin (∠ Acute)}{2}

r_i - Inradius of Rhombus?S - Side of Rhombus?∠_Acute - Acute Angle of Rhombus?

Inradius of Rhombus Example

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

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

Here is how the Inradius of Rhombus equation looks like.

3.5355 = \frac{10 \cdot \sin (45)}{2}

3.5355m = \frac{10m \cdot \sin (45°)}{2}

3.5355 = \frac{10 \cdot \sin (45)}{2}

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Inradius of Rhombus Solution

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

FIRST Step Consider the formula

r i = \frac{S \cdot \sin (∠ Acute)}{2}

Next Step Substitute values of Variables

∴

r i = \frac{10m \cdot \sin (45°)}{2}

Next Step Convert Units

∴

r i = \frac{10m \cdot \sin (0.7854rad)}{2}

Next Step Prepare to Evaluate

∴

r i = \frac{10 \cdot \sin (0.7854)}{2}

Next Step Evaluate

∴

r i = 3.53553390593222m

LAST Step Rounding Answer

∴

r i = 3.5355m

Inradius of Rhombus Formula Elements

Variables

Functions

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

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 Inradius of Rhombus

Go Inradius of Rhombus given Area and Side

r i = \frac{A}{2 \cdot S}

Go Inradius of Rhombus given both Diagonals

r i = \frac{d Long \cdot d Short}{2 \cdot \sqrt{{d Long}^{2} + {d Short}^{2}}}

Go Inradius of Rhombus given Height

r i = \frac{h}{2}

Go Inradius of Rhombus given Long Diagonal and Side

r i = \frac{d Long \cdot \sqrt{S^{2} - \frac{{d Long}^{2}}{4}}}{2 \cdot S}

How to Evaluate Inradius of Rhombus?

Inradius of Rhombus evaluator uses Inradius of Rhombus = (Side of Rhombus*sin(Acute Angle of Rhombus))/2 to evaluate the Inradius of Rhombus, Inradius of Rhombus is defined as the radius of the circle inscribed inside the Rhombus. Inradius of Rhombus is denoted by r_i symbol.

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

FAQs on Inradius of Rhombus

What is the formula to find Inradius of Rhombus?

The formula of Inradius of Rhombus is expressed as Inradius of Rhombus = (Side of Rhombus*sin(Acute Angle of Rhombus))/2. Here is an example- 3.535534 = (10*sin(0.785398163397301))/2.

How to calculate Inradius of Rhombus?

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

What are the other ways to Calculate Inradius of Rhombus?

Here are the different ways to Calculate Inradius of Rhombus-

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

Can the Inradius of Rhombus be negative?

No, the Inradius of Rhombus, measured in Length cannot be negative.

Which unit is used to measure Inradius of Rhombus?

Inradius of Rhombus is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Inradius of Rhombus can be measured.

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