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Short Diagonal of Rhombus given Perimeter Formula

GoShort Diagonal of Rhombus given Obtuse Angle Formula

GoShort Diagonal of Rhombus Formula

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A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus. Check FAQs

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

d_Short - Short Diagonal of Rhombus?P - Perimeter of Rhombus?∠_Acute - Acute Angle of Rhombus?

Short Diagonal of Rhombus given Perimeter Example

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

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

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

7.6537 = \frac{40}{2} \cdot \sin (\frac{45}{2})

7.6537m = \frac{40m}{2} \cdot \sin (\frac{45°}{2})

7.6537 = \frac{40}{2} \cdot \sin (\frac{45}{2})

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Short Diagonal of Rhombus given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Short = \frac{40m}{2} \cdot \sin (\frac{45°}{2})

Next Step Convert Units

∴

d Short = \frac{40m}{2} \cdot \sin (\frac{0.7854rad}{2})

Next Step Prepare to Evaluate

∴

d Short = \frac{40}{2} \cdot \sin (\frac{0.7854}{2})

Next Step Evaluate

∴

d Short = 7.65366864730043m

LAST Step Rounding Answer

∴

d Short = 7.6537m

Short Diagonal of Rhombus given Perimeter Formula Elements

Variables

Functions

Short Diagonal of Rhombus

A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus.

Symbol: d_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Diagonal of Rhombus

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

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 Short Diagonal of Rhombus

Go Short Diagonal of Rhombus given Obtuse Angle

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

Go Short Diagonal of Rhombus

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

Go Short Diagonal of Rhombus given Long Diagonal and Acute Angle

d Short = d Long \cdot \tan (\frac{∠ Acute}{2})

Go Short Diagonal of Rhombus given Long Diagonal and Side

d Short = \sqrt{4 \cdot S^{2} - {d Long}^{2}}

How to Evaluate Short Diagonal of Rhombus given Perimeter?

Short Diagonal of Rhombus given Perimeter evaluator uses Short Diagonal of Rhombus = Perimeter of Rhombus/2*sin(Acute Angle of Rhombus/2) to evaluate the Short Diagonal of Rhombus, The Short Diagonal of Rhombus given Perimeter formula is defined as the line joining the obtuse angle corners, calculated using the perimeter of the Rhombus. Short Diagonal of Rhombus is denoted by d_Short symbol.

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

FAQs on Short Diagonal of Rhombus given Perimeter

What is the formula to find Short Diagonal of Rhombus given Perimeter?

The formula of Short Diagonal of Rhombus given Perimeter is expressed as Short Diagonal of Rhombus = Perimeter of Rhombus/2*sin(Acute Angle of Rhombus/2). Here is an example- 7.653669 = 40/2*sin(0.785398163397301/2).

How to calculate Short Diagonal of Rhombus given Perimeter?

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

What are the other ways to Calculate Short Diagonal of Rhombus?

Here are the different ways to Calculate Short Diagonal of Rhombus-

Short Diagonal of Rhombus=2*Side of Rhombus*cos(Obtuse Angle of Rhombus/2)
Short Diagonal of Rhombus=2*Side of Rhombus*sin(Acute Angle of Rhombus/2)
Short Diagonal of Rhombus=Long Diagonal of Rhombus*tan(Acute Angle of Rhombus/2)

Can the Short Diagonal of Rhombus given Perimeter be negative?

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

Which unit is used to measure Short Diagonal of Rhombus given Perimeter?

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

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