FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Inradius of Rhombus given Area and Acute Angle Formula

GoInradius of Rhombus given Area and Side Formula

GoInradius of Rhombus given both Diagonals Formula

Fx Copy

LaTeX Copy

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

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

r_i - Inradius of Rhombus?A - Area of Rhombus?∠_Acute - Acute Angle of Rhombus?

Inradius of Rhombus given Area and Acute Angle Example

With values

With units

Only example

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

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

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

3.5177 = \frac{\sqrt{70 \cdot \sin (45)}}{2}

3.5177m = \frac{\sqrt{70m² \cdot \sin (45°)}}{2}

3.5177 = \frac{\sqrt{70 \cdot \sin (45)}}{2}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Inradius of Rhombus given Area and Acute Angle

Inradius of Rhombus given Area and Acute Angle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = \frac{\sqrt{70m² \cdot \sin (45°)}}{2}

Next Step Convert Units

∴

r i = \frac{\sqrt{70m² \cdot \sin (0.7854rad)}}{2}

Next Step Prepare to Evaluate

∴

r i = \frac{\sqrt{70 \cdot \sin (0.7854)}}{2}

Next Step Evaluate

∴

r i = 3.51772208549265m

LAST Step Rounding Answer

∴

r i = 3.5177m

Inradius of Rhombus given Area and Acute Angle 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

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

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)

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 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

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

Go Inradius of Rhombus given Long Diagonal and Acute Angle

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

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

Inradius of Rhombus given Area and Acute Angle evaluator uses Inradius of Rhombus = sqrt(Area of Rhombus*sin(Acute Angle of Rhombus))/2 to evaluate the Inradius of Rhombus, Inradius of Rhombus given Area and Acute Angle can be defined as the radius of the circle inscribed inside the Rhombus, calculated using the area and acute angle of the Rhombus. Inradius of Rhombus is denoted by r_i symbol.

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

FAQs on Inradius of Rhombus given Area and Acute Angle

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

The formula of Inradius of Rhombus given Area and Acute Angle is expressed as Inradius of Rhombus = sqrt(Area of Rhombus*sin(Acute Angle of Rhombus))/2. Here is an example- 3.517722 = sqrt(70*sin(0.785398163397301))/2.

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

With Area of Rhombus (A) & Acute Angle of Rhombus (∠_Acute) we can find Inradius of Rhombus given Area and Acute Angle using the formula - Inradius of Rhombus = sqrt(Area of Rhombus*sin(Acute Angle of Rhombus))/2. This formula also uses Sine (sin), 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=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=(Side of Rhombus*sin(Acute Angle of Rhombus))/2

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit