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Perimeter of Rhombus given Inradius Formula

GoPerimeter of Rhombus Formula

GoPerimeter of Rhombus given Area Formula

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The Perimeter of Rhombus is the total distance around the edge of the Rhombus. Check FAQs

P = \frac{8 \cdot r i}{\sin (∠ Acute)}

P - Perimeter of Rhombus?r_i - Inradius of Rhombus?∠_Acute - Acute Angle of Rhombus?

Perimeter of Rhombus given Inradius Example

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

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

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

33.9411 = \frac{8 \cdot 3}{\sin (45)}

33.9411m = \frac{8 \cdot 3m}{\sin (45°)}

33.9411 = \frac{8 \cdot 3}{\sin (45)}

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Perimeter of Rhombus given Inradius Solution

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

FIRST Step Consider the formula

P = \frac{8 \cdot r i}{\sin (∠ Acute)}

Next Step Substitute values of Variables

∴

P = \frac{8 \cdot 3m}{\sin (45°)}

Next Step Convert Units

∴

P = \frac{8 \cdot 3m}{\sin (0.7854rad)}

Next Step Prepare to Evaluate

∴

P = \frac{8 \cdot 3}{\sin (0.7854)}

Next Step Evaluate

∴

P = 33.9411254969593m

LAST Step Rounding Answer

∴

P = 33.9411m

Perimeter of Rhombus given Inradius Formula Elements

Variables

Functions

Perimeter of Rhombus

The Perimeter of Rhombus is the total distance around the edge of the Rhombus.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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 Perimeter of Rhombus

Go Perimeter of Rhombus

P = 4 \cdot S

Go Perimeter of Rhombus given Area

P = 4 \cdot \sqrt{\frac{A}{\sin (∠ Acute)}}

Go Perimeter of Rhombus given Long Diagonal

P = \frac{2 \cdot d Long}{\cos (\frac{∠ Acute}{2})}

Go Perimeter of Rhombus given Short Diagonal

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

How to Evaluate Perimeter of Rhombus given Inradius?

Perimeter of Rhombus given Inradius evaluator uses Perimeter of Rhombus = (8*Inradius of Rhombus)/sin(Acute Angle of Rhombus) to evaluate the Perimeter of Rhombus, The Perimeter of Rhombus given Inradius formula is defined as the total distance around the edge of the Rhombus, calculated using the inradius of the Rhombus. Perimeter of Rhombus is denoted by P symbol.

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

FAQs on Perimeter of Rhombus given Inradius

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

The formula of Perimeter of Rhombus given Inradius is expressed as Perimeter of Rhombus = (8*Inradius of Rhombus)/sin(Acute Angle of Rhombus). Here is an example- 33.94113 = (8*3)/sin(0.785398163397301).

How to calculate Perimeter of Rhombus given Inradius?

With Inradius of Rhombus (r_i) & Acute Angle of Rhombus (∠_Acute) we can find Perimeter of Rhombus given Inradius using the formula - Perimeter of Rhombus = (8*Inradius of Rhombus)/sin(Acute Angle of Rhombus). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Perimeter of Rhombus?

Here are the different ways to Calculate Perimeter of Rhombus-

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

Can the Perimeter of Rhombus given Inradius be negative?

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

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

Perimeter 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 Perimeter of Rhombus given Inradius can be measured.

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