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Short Diagonal of Rhombus Formula

GoShort Diagonal of Rhombus given Area and Long Diagonal Formula

GoShort Diagonal of Rhombus given Long Diagonal and Acute Angle 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 = 2 \cdot S \cdot \sin (\frac{∠ Acute}{2})

d_Short - Short Diagonal of Rhombus?S - Side of Rhombus?∠_Acute - Acute Angle of Rhombus?

Short Diagonal of Rhombus Example

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

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

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

7.6537 = 2 \cdot 10 \cdot \sin (\frac{45}{2})

7.6537m = 2 \cdot 10m \cdot \sin (\frac{45°}{2})

7.6537 = 2 \cdot 10 \cdot \sin (\frac{45}{2})

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Short Diagonal of Rhombus Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Short = 2 \cdot 10m \cdot \sin (\frac{45°}{2})

Next Step Convert Units

∴

d Short = 2 \cdot 10m \cdot \sin (\frac{0.7854rad}{2})

Next Step Prepare to Evaluate

∴

d Short = 2 \cdot 10 \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 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

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

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 Area and Long Diagonal

d Short = \frac{2 \cdot A}{d Long}

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}}

Other formulas in Short Diagonal of Rhombus category

Go Long Diagonal of Rhombus

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

Go Long Diagonal of Rhombus given Area and Short Diagonal

d Long = \frac{2 \cdot A}{d Short}

Go Long Diagonal of Rhombus given Short Diagonal and Acute Angle

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

Go Long Diagonal of Rhombus given Short Diagonal and Side

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

How to Evaluate Short Diagonal of Rhombus?

Short Diagonal of Rhombus evaluator uses Short Diagonal of Rhombus = 2*Side of Rhombus*sin(Acute Angle of Rhombus/2) to evaluate the Short Diagonal of Rhombus, Short Diagonal of Rhombus is defined as the length of the line joining the obtuse angle corners of the Rhombus. Short Diagonal of Rhombus is denoted by d_Short symbol.

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

FAQs on Short Diagonal of Rhombus

What is the formula to find Short Diagonal of Rhombus?

The formula of Short Diagonal of Rhombus is expressed as Short Diagonal of Rhombus = 2*Side of Rhombus*sin(Acute Angle of Rhombus/2). Here is an example- 7.653669 = 2*10*sin(0.785398163397301/2).

How to calculate Short Diagonal of Rhombus?

With Side of Rhombus (S) & Acute Angle of Rhombus (∠_Acute) we can find Short Diagonal of Rhombus using the formula - Short Diagonal of Rhombus = 2*Side of Rhombus*sin(Acute Angle of Rhombus/2). This formula also uses Sine (sin) 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*Area of Rhombus)/(Long Diagonal of Rhombus)
Short Diagonal of Rhombus=Long Diagonal of Rhombus*tan(Acute Angle of Rhombus/2)
Short Diagonal of Rhombus=sqrt(4*Side of Rhombus^2-Long Diagonal of Rhombus^2)

Can the Short Diagonal of Rhombus be negative?

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

Which unit is used to measure Short Diagonal of Rhombus?

Short Diagonal of Rhombus 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 can be measured.

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