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Inradius of Rhombus given Long Diagonal and Side Formula

GoInradius of Rhombus Formula

GoInradius of Rhombus given Area and Side 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{d Long \cdot \sqrt{S^{2} - \frac{{d Long}^{2}}{4}}}{2 \cdot S}

r_i - Inradius of Rhombus?d_Long - Long Diagonal of Rhombus?S - Side of Rhombus?

Inradius of Rhombus given Long Diagonal and Side Example

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Here is how the Inradius of Rhombus given Long Diagonal and Side equation looks like with Values.

Here is how the Inradius of Rhombus given Long Diagonal and Side equation looks like with Units.

Here is how the Inradius of Rhombus given Long Diagonal and Side equation looks like.

3.923 = \frac{18 \cdot \sqrt{10^{2} - \frac{18^{2}}{4}}}{2 \cdot 10}

3.923m = \frac{18m \cdot \sqrt{{10m}^{2} - \frac{{18m}^{2}}{4}}}{2 \cdot 10m}

3.923 = \frac{18 \cdot \sqrt{10^{2} - \frac{18^{2}}{4}}}{2 \cdot 10}

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Inradius of Rhombus given Long Diagonal and Side Solution

Follow our step by step solution on how to calculate Inradius of Rhombus given Long Diagonal and Side?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = \frac{18m \cdot \sqrt{{10m}^{2} - \frac{{18m}^{2}}{4}}}{2 \cdot 10m}

Next Step Prepare to Evaluate

∴

r i = \frac{18 \cdot \sqrt{10^{2} - \frac{18^{2}}{4}}}{2 \cdot 10}

Next Step Evaluate

∴

r i = 3.92300904918661m

LAST Step Rounding Answer

∴

r i = 3.923m

Inradius of Rhombus given Long Diagonal and Side 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

Long Diagonal of Rhombus

The Long Diagonal of Rhombus is the length of line joining the acute angle corners of a Rhombus.

Symbol: d_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Diagonal 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

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 Inradius of Rhombus

Go Inradius of Rhombus

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

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}

How to Evaluate Inradius of Rhombus given Long Diagonal and Side?

Inradius of Rhombus given Long Diagonal and Side evaluator uses Inradius of Rhombus = (Long Diagonal of Rhombus*sqrt(Side of Rhombus^2-Long Diagonal of Rhombus^2/4))/(2*Side of Rhombus) to evaluate the Inradius of Rhombus, Inradius of Rhombus given Long Diagonal and Side is defined as the radius of the inscribed circle of the Rhombus, calculated using the long diagonal and side of the Rhombus. Inradius of Rhombus is denoted by r_i symbol.

How to evaluate Inradius of Rhombus given Long Diagonal and Side using this online evaluator? To use this online evaluator for Inradius of Rhombus given Long Diagonal and Side, enter Long Diagonal of Rhombus (d_Long) & Side of Rhombus (S) and hit the calculate button.

FAQs on Inradius of Rhombus given Long Diagonal and Side

What is the formula to find Inradius of Rhombus given Long Diagonal and Side?

The formula of Inradius of Rhombus given Long Diagonal and Side is expressed as Inradius of Rhombus = (Long Diagonal of Rhombus*sqrt(Side of Rhombus^2-Long Diagonal of Rhombus^2/4))/(2*Side of Rhombus). Here is an example- 3.923009 = (18*sqrt(10^2-18^2/4))/(2*10).

How to calculate Inradius of Rhombus given Long Diagonal and Side?

With Long Diagonal of Rhombus (d_Long) & Side of Rhombus (S) we can find Inradius of Rhombus given Long Diagonal and Side using the formula - Inradius of Rhombus = (Long Diagonal of Rhombus*sqrt(Side of Rhombus^2-Long Diagonal of Rhombus^2/4))/(2*Side of Rhombus). This formula also uses Square Root (sqrt) 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=(Side of Rhombus*sin(Acute Angle of Rhombus))/2
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))

Can the Inradius of Rhombus given Long Diagonal and Side be negative?

No, the Inradius of Rhombus given Long Diagonal and Side, measured in Length cannot be negative.

Which unit is used to measure Inradius of Rhombus given Long Diagonal and Side?

Inradius of Rhombus given Long Diagonal and Side 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 given Long Diagonal and Side can be measured.

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Inradius of Rhombus given Long Diagonal and Side Formula

​GoInradius of Rhombus Formula

​GoInradius of Rhombus given Area and Side Formula

Inradius of Rhombus given Long Diagonal and Side Example

Inradius of Rhombus given Long Diagonal and Side Solution

Inradius of Rhombus given Long Diagonal and Side Formula Elements

Other Formulas to find Inradius of Rhombus

How to Evaluate Inradius of Rhombus given Long Diagonal and Side?

FAQs on Inradius of Rhombus given Long Diagonal and Side

Variable Name

GoInradius of Rhombus Formula

GoInradius of Rhombus given Area and Side Formula