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Short Diagonal of Rhombus given Inradius 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{2 \cdot r i}{\cos (\frac{∠ Acute}{2})}

d_Short - Short Diagonal of Rhombus?r_i - Inradius of Rhombus?∠_Acute - Acute Angle of Rhombus?

Short Diagonal of Rhombus given Inradius Example

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

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

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

6.4944 = \frac{2 \cdot 3}{\cos (\frac{45}{2})}

6.4944m = \frac{2 \cdot 3m}{\cos (\frac{45°}{2})}

6.4944 = \frac{2 \cdot 3}{\cos (\frac{45}{2})}

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2D Geometry » fx Short Diagonal of Rhombus given Inradius

Short Diagonal of Rhombus given Inradius Solution

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

FIRST Step Consider the formula

d Short = \frac{2 \cdot r i}{\cos (\frac{∠ Acute}{2})}

Next Step Substitute values of Variables

∴

d Short = \frac{2 \cdot 3m}{\cos (\frac{45°}{2})}

Next Step Convert Units

∴

d Short = \frac{2 \cdot 3m}{\cos (\frac{0.7854rad}{2})}

Next Step Prepare to Evaluate

∴

d Short = \frac{2 \cdot 3}{\cos (\frac{0.7854}{2})}

Next Step Evaluate

∴

d Short = 6.49435320175417m

LAST Step Rounding Answer

∴

d Short = 6.4944m

Short Diagonal of Rhombus given Inradius 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

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(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 Inradius?

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

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

FAQs on Short Diagonal of Rhombus given Inradius

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

The formula of Short Diagonal of Rhombus given Inradius is expressed as Short Diagonal of Rhombus = (2*Inradius of Rhombus)/cos(Acute Angle of Rhombus/2). Here is an example- 6.494353 = (2*3)/cos(0.785398163397301/2).

How to calculate Short Diagonal of Rhombus given Inradius?

With Inradius of Rhombus (r_i) & Acute Angle of Rhombus (∠_Acute) we can find Short Diagonal of Rhombus given Inradius using the formula - Short Diagonal of Rhombus = (2*Inradius of Rhombus)/cos(Acute Angle of Rhombus/2). This formula also uses Cosine (cos) 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 Inradius be negative?

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

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

Short Diagonal 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 Short Diagonal of Rhombus given Inradius can be measured.

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