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Perimeter of Rhombus given Height 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{4 \cdot h}{\sin (∠ Acute)}

P - Perimeter of Rhombus?h - Height of Rhombus?∠_Acute - Acute Angle of Rhombus?

Perimeter of Rhombus given Height Example

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

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

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

39.598 = \frac{4 \cdot 7}{\sin (45)}

39.598m = \frac{4 \cdot 7m}{\sin (45°)}

39.598 = \frac{4 \cdot 7}{\sin (45)}

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Perimeter of Rhombus given Height Solution

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

FIRST Step Consider the formula

P = \frac{4 \cdot h}{\sin (∠ Acute)}

Next Step Substitute values of Variables

∴

P = \frac{4 \cdot 7m}{\sin (45°)}

Next Step Convert Units

∴

P = \frac{4 \cdot 7m}{\sin (0.7854rad)}

Next Step Prepare to Evaluate

∴

P = \frac{4 \cdot 7}{\sin (0.7854)}

Next Step Evaluate

∴

P = 39.5979797464525m

LAST Step Rounding Answer

∴

P = 39.598m

Perimeter of Rhombus given Height 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

Height of Rhombus

Height of Rhombus is defined as the shortest perpendicular distance from its base to its opposite side.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 Height?

Perimeter of Rhombus given Height evaluator uses Perimeter of Rhombus = (4*Height of Rhombus)/sin(Acute Angle of Rhombus) to evaluate the Perimeter of Rhombus, The Perimeter of Rhombus given Height formula is defined as the total distance around the edge of the Rhombus, calculated using the height of the Rhombus. Perimeter of Rhombus is denoted by P symbol.

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

FAQs on Perimeter of Rhombus given Height

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

The formula of Perimeter of Rhombus given Height is expressed as Perimeter of Rhombus = (4*Height of Rhombus)/sin(Acute Angle of Rhombus). Here is an example- 39.59798 = (4*7)/sin(0.785398163397301).

How to calculate Perimeter of Rhombus given Height?

With Height of Rhombus (h) & Acute Angle of Rhombus (∠_Acute) we can find Perimeter of Rhombus given Height using the formula - Perimeter of Rhombus = (4*Height 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 Height be negative?

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

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

Perimeter of Rhombus given Height 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 Height can be measured.

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