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Acute Angle of Rhombus given both Diagonals Formula

GoAcute Angle of Rhombus given Long Diagonal Formula

GoAcute Angle of Rhombus given Short Diagonal Formula

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Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree. Check FAQs

∠ Acute = a \sin (\frac{2 \cdot d Long \cdot d Short}{{d Long}^{2} + {d Short}^{2}})

∠_Acute - Acute Angle of Rhombus?d_Long - Long Diagonal of Rhombus?d_Short - Short Diagonal of Rhombus?

Acute Angle of Rhombus given both Diagonals Example

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Here is how the Acute Angle of Rhombus given both Diagonals equation looks like with Values.

Here is how the Acute Angle of Rhombus given both Diagonals equation looks like with Units.

Here is how the Acute Angle of Rhombus given both Diagonals equation looks like.

47.925 = a \sin (\frac{2 \cdot 18 \cdot 8}{18^{2} + 8^{2}})

47.925° = a \sin (\frac{2 \cdot 18m \cdot 8m}{{18m}^{2} + {8m}^{2}})

47.925 = a \sin (\frac{2 \cdot 18 \cdot 8}{18^{2} + 8^{2}})

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Acute Angle of Rhombus given both Diagonals Solution

Follow our step by step solution on how to calculate Acute Angle of Rhombus given both Diagonals?

FIRST Step Consider the formula

∠ Acute = a \sin (\frac{2 \cdot d Long \cdot d Short}{{d Long}^{2} + {d Short}^{2}})

Next Step Substitute values of Variables

∴

∠ Acute = a \sin (\frac{2 \cdot 18m \cdot 8m}{{18m}^{2} + {8m}^{2}})

Next Step Prepare to Evaluate

∴

∠ Acute = a \sin (\frac{2 \cdot 18 \cdot 8}{18^{2} + 8^{2}})

Next Step Evaluate

∴

∠ Acute = 0.836448659158458rad

Next Step Convert to Output's Unit

∴

∠ Acute = 47.9249779491654°

LAST Step Rounding Answer

∴

∠ Acute = 47.925°

Acute Angle of Rhombus given both Diagonals Formula Elements

Variables

Functions

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

Long Diagonal of Rhombus

The Long Diagonal of Rhombus is the length of line joining the acute angle corners of a Rhombus.

Symbol: d_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Diagonal of Rhombus

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

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)

asin

The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: asin(Number)

Other Formulas to find Acute Angle of Rhombus

Go Acute Angle of Rhombus given Long Diagonal

∠ Acute = a \cos (\frac{{d Long}^{2}}{2 \cdot S^{2}} - 1)

Go Acute Angle of Rhombus given Short Diagonal

∠ Acute = a \cos (1 - \frac{{d Short}^{2}}{2 \cdot S^{2}})

Other formulas in Acute Angle of Rhombus category

Go Obtuse Angle of Rhombus given both Diagonals

∠ Obtuse = 2 \cdot a \cos (\frac{d Short}{\sqrt{{d Long}^{2} + {d Short}^{2}}})

How to Evaluate Acute Angle of Rhombus given both Diagonals?

Acute Angle of Rhombus given both Diagonals evaluator uses Acute Angle of Rhombus = asin((2*Long Diagonal of Rhombus*Short Diagonal of Rhombus)/(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2)) to evaluate the Acute Angle of Rhombus, Acute Angle of Rhombus given both Diagonals is defined as the angle inside the Rhombus which is less than 90 degrees, calculated using both diagonals of the Rhombus. Acute Angle of Rhombus is denoted by ∠_Acute symbol.

How to evaluate Acute Angle of Rhombus given both Diagonals using this online evaluator? To use this online evaluator for Acute Angle of Rhombus given both Diagonals, enter Long Diagonal of Rhombus (d_Long) & Short Diagonal of Rhombus (d_Short) and hit the calculate button.

FAQs on Acute Angle of Rhombus given both Diagonals

What is the formula to find Acute Angle of Rhombus given both Diagonals?

The formula of Acute Angle of Rhombus given both Diagonals is expressed as Acute Angle of Rhombus = asin((2*Long Diagonal of Rhombus*Short Diagonal of Rhombus)/(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2)). Here is an example- 2745.899 = asin((2*18*8)/(18^2+8^2)).

How to calculate Acute Angle of Rhombus given both Diagonals?

With Long Diagonal of Rhombus (d_Long) & Short Diagonal of Rhombus (d_Short) we can find Acute Angle of Rhombus given both Diagonals using the formula - Acute Angle of Rhombus = asin((2*Long Diagonal of Rhombus*Short Diagonal of Rhombus)/(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2)). This formula also uses Sine (sin), Inverse Sine (asin) function(s).

What are the other ways to Calculate Acute Angle of Rhombus?

Here are the different ways to Calculate Acute Angle of Rhombus-

Acute Angle of Rhombus=acos(Long Diagonal of Rhombus^2/(2*Side of Rhombus^2)-1)
Acute Angle of Rhombus=acos(1-Short Diagonal of Rhombus^2/(2*Side of Rhombus^2))

Can the Acute Angle of Rhombus given both Diagonals be negative?

No, the Acute Angle of Rhombus given both Diagonals, measured in Angle cannot be negative.

Which unit is used to measure Acute Angle of Rhombus given both Diagonals?

Acute Angle of Rhombus given both Diagonals is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Acute Angle of Rhombus given both Diagonals can be measured.

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