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Side of Rhombus given Inradius Formula

GoSide of Rhombus given Area Formula

GoSide of Rhombus given Perimeter Formula

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The Side of Rhombus is the length of any of the four edges. Check FAQs

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

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

Side of Rhombus given Inradius Example

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

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

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

8.4853 = \frac{2 \cdot 3}{\sin (45)}

8.4853m = \frac{2 \cdot 3m}{\sin (45°)}

8.4853 = \frac{2 \cdot 3}{\sin (45)}

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Side of Rhombus given Inradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = \frac{2 \cdot 3m}{\sin (45°)}

Next Step Convert Units

∴

S = \frac{2 \cdot 3m}{\sin (0.7854rad)}

Next Step Prepare to Evaluate

∴

S = \frac{2 \cdot 3}{\sin (0.7854)}

Next Step Evaluate

∴

S = 8.48528137423982m

LAST Step Rounding Answer

∴

S = 8.4853m

Side of Rhombus given Inradius Formula Elements

Variables

Functions

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

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

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 Side of Rhombus

Go Side of Rhombus given Area

S = \sqrt{\frac{A}{\sin (∠ Acute)}}

Go Side of Rhombus given Perimeter

S = \frac{P}{4}

Go Side of Rhombus given Short Diagonal

S = \frac{d Short}{2 \cdot \sin (\frac{∠ Acute}{2})}

Go Side of Rhombus given Short Diagonal and Obtuse Angle

S = \frac{d Short}{2 \cdot \cos (\frac{∠ Obtuse}{2})}

How to Evaluate Side of Rhombus given Inradius?

Side of Rhombus given Inradius evaluator uses Side of Rhombus = (2*Inradius of Rhombus)/sin(Acute Angle of Rhombus) to evaluate the Side of Rhombus, The Side of Rhombus given Inradius formula is defined as the length of the line segment that joins two adjacent vertices of the Rhombus, calculated using the inradius of the Rhombus. Side of Rhombus is denoted by S symbol.

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

FAQs on Side of Rhombus given Inradius

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

The formula of Side of Rhombus given Inradius is expressed as Side of Rhombus = (2*Inradius of Rhombus)/sin(Acute Angle of Rhombus). Here is an example- 8.485281 = (2*3)/sin(0.785398163397301).

How to calculate Side of Rhombus given Inradius?

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

What are the other ways to Calculate Side of Rhombus?

Here are the different ways to Calculate Side of Rhombus-

Side of Rhombus=sqrt(Area of Rhombus/sin(Acute Angle of Rhombus))
Side of Rhombus=Perimeter of Rhombus/4
Side of Rhombus=Short Diagonal of Rhombus/(2*sin(Acute Angle of Rhombus/2))

Can the Side of Rhombus given Inradius be negative?

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

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

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

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