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Acute Angle of Rhombus given Long Diagonal Formula

GoAcute Angle of Rhombus given both Diagonals 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 \cos (\frac{{d Long}^{2}}{2 \cdot S^{2}} - 1)

∠_Acute - Acute Angle of Rhombus?d_Long - Long Diagonal of Rhombus?S - Side of Rhombus?

Acute Angle of Rhombus given Long Diagonal Example

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Here is how the Acute Angle of Rhombus given Long Diagonal equation looks like with Values.

Here is how the Acute Angle of Rhombus given Long Diagonal equation looks like with Units.

Here is how the Acute Angle of Rhombus given Long Diagonal equation looks like.

51.6839 = a \cos (\frac{18^{2}}{2 \cdot 10^{2}} - 1)

51.6839° = a \cos (\frac{{18m}^{2}}{2 \cdot {10m}^{2}} - 1)

51.6839 = a \cos (\frac{18^{2}}{2 \cdot 10^{2}} - 1)

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Acute Angle of Rhombus given Long Diagonal Solution

Follow our step by step solution on how to calculate Acute Angle of Rhombus given Long Diagonal?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

∠ Acute = a \cos (\frac{{18m}^{2}}{2 \cdot {10m}^{2}} - 1)

Next Step Prepare to Evaluate

∴

∠ Acute = a \cos (\frac{18^{2}}{2 \cdot 10^{2}} - 1)

Next Step Evaluate

∴

∠ Acute = 0.902053623592525rad

Next Step Convert to Output's Unit

∴

∠ Acute = 51.683865526344°

LAST Step Rounding Answer

∴

∠ Acute = 51.6839°

Acute Angle of Rhombus given Long Diagonal 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

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

cos

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

Syntax: cos(Angle)

acos

The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.

Syntax: acos(Number)

Other Formulas to find Acute Angle of Rhombus

Go Acute Angle of Rhombus given both Diagonals

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

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 Long Diagonal?

Acute Angle of Rhombus given Long Diagonal evaluator uses Acute Angle of Rhombus = acos(Long Diagonal of Rhombus^2/(2*Side of Rhombus^2)-1) to evaluate the Acute Angle of Rhombus, The Acute Angle of Rhombus given Long Diagonal formula is defined as the angle inside the Rhombus which is less than 90 degrees, calculated using the long diagonal of the Rhombus. Acute Angle of Rhombus is denoted by ∠_Acute symbol.

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

FAQs on Acute Angle of Rhombus given Long Diagonal

What is the formula to find Acute Angle of Rhombus given Long Diagonal?

The formula of Acute Angle of Rhombus given Long Diagonal is expressed as Acute Angle of Rhombus = acos(Long Diagonal of Rhombus^2/(2*Side of Rhombus^2)-1). Here is an example- 2961.267 = acos(18^2/(2*10^2)-1).

How to calculate Acute Angle of Rhombus given Long Diagonal?

With Long Diagonal of Rhombus (d_Long) & Side of Rhombus (S) we can find Acute Angle of Rhombus given Long Diagonal using the formula - Acute Angle of Rhombus = acos(Long Diagonal of Rhombus^2/(2*Side of Rhombus^2)-1). This formula also uses Cosine, Inverse Cosine 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=asin((2*Long Diagonal of Rhombus*Short Diagonal of Rhombus)/(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))
Acute Angle of Rhombus=acos(1-Short Diagonal of Rhombus^2/(2*Side of Rhombus^2))

Can the Acute Angle of Rhombus given Long Diagonal be negative?

No, the Acute Angle of Rhombus given Long Diagonal, measured in Angle cannot be negative.

Which unit is used to measure Acute Angle of Rhombus given Long Diagonal?

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

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