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Acute Angle of Rhombus given Area 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{A}{S^{2}})

∠_Acute - Acute Angle of Rhombus?A - Area of Rhombus?S - Side of Rhombus?

Acute Angle of Rhombus given Area Example

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

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

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

44.427 = a \sin (\frac{70}{10^{2}})

44.427° = a \sin (\frac{70m²}{{10m}^{2}})

44.427 = a \sin (\frac{70}{10^{2}})

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Acute Angle of Rhombus given Area Solution

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

FIRST Step Consider the formula

∠ Acute = a \sin (\frac{A}{S^{2}})

Next Step Substitute values of Variables

∴

∠ Acute = a \sin (\frac{70m²}{{10m}^{2}})

Next Step Prepare to Evaluate

∴

∠ Acute = a \sin (\frac{70}{10^{2}})

Next Step Evaluate

∴

∠ Acute = 0.775397496610753rad

Next Step Convert to Output's Unit

∴

∠ Acute = 44.4270040008141°

LAST Step Rounding Answer

∴

∠ Acute = 44.427°

Acute Angle of Rhombus given Area 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

Area of Rhombus

Area of Rhombus is the amount of two-dimensional space occupied by the Rhombus.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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

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}})

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 Height

∠ Acute = a \sin (\frac{h}{S})

How to Evaluate Acute Angle of Rhombus given Area?

Acute Angle of Rhombus given Area evaluator uses Acute Angle of Rhombus = asin(Area of Rhombus/Side of Rhombus^2) to evaluate the Acute Angle of Rhombus, Acute Angle of Rhombus given Area is defined as the angle inside the Rhombus which is less than 90 degrees, calculated using the area of the Rhombus. Acute Angle of Rhombus is denoted by ∠_Acute symbol.

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

FAQs on Acute Angle of Rhombus given Area

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

The formula of Acute Angle of Rhombus given Area is expressed as Acute Angle of Rhombus = asin(Area of Rhombus/Side of Rhombus^2). Here is an example- 2545.48 = asin(70/10^2).

How to calculate Acute Angle of Rhombus given Area?

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

Can the Acute Angle of Rhombus given Area be negative?

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

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

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

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