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Acute Angle between Diagonals of Rectangle given Perimeter and Length Formula

GoAcute Angle between Diagonals of Rectangle given Diagonal and Length Formula

GoAcute Angle between Diagonals of Rectangle given Diagonal and Breadth Formula

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Acute Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is less than 90 degrees. Check FAQs

∠ d(Acute) = 2 \cdot a \tan (\frac{(\frac{P}{2}) - l}{l})

∠_d(Acute) - Acute Angle between Diagonals of Rectangle?P - Perimeter of Rectangle?l - Length of Rectangle?

Acute Angle between Diagonals of Rectangle given Perimeter and Length Example

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Here is how the Acute Angle between Diagonals of Rectangle given Perimeter and Length equation looks like with Values.

Here is how the Acute Angle between Diagonals of Rectangle given Perimeter and Length equation looks like with Units.

Here is how the Acute Angle between Diagonals of Rectangle given Perimeter and Length equation looks like.

73.7398 = 2 \cdot a \tan (\frac{(\frac{28}{2}) - 8}{8})

73.7398° = 2 \cdot a \tan (\frac{(\frac{28m}{2}) - 8m}{8m})

73.7398 = 2 \cdot a \tan (\frac{(\frac{28}{2}) - 8}{8})

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Acute Angle between Diagonals of Rectangle given Perimeter and Length Solution

Follow our step by step solution on how to calculate Acute Angle between Diagonals of Rectangle given Perimeter and Length?

FIRST Step Consider the formula

∠ d(Acute) = 2 \cdot a \tan (\frac{(\frac{P}{2}) - l}{l})

Next Step Substitute values of Variables

∴

∠ d(Acute) = 2 \cdot a \tan (\frac{(\frac{28m}{2}) - 8m}{8m})

Next Step Prepare to Evaluate

∴

∠ d(Acute) = 2 \cdot a \tan (\frac{(\frac{28}{2}) - 8}{8})

Next Step Evaluate

∴

∠ d(Acute) = 1.28700221758657rad

Next Step Convert to Output's Unit

∴

∠ d(Acute) = 73.7397952917019°

LAST Step Rounding Answer

∴

∠ d(Acute) = 73.7398°

Acute Angle between Diagonals of Rectangle given Perimeter and Length Formula Elements

Variables

Functions

Acute Angle between Diagonals of Rectangle

Acute Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is less than 90 degrees.

Symbol: ∠_d(Acute)

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Acute Angle between Diagonals of Rectangle

Perimeter of Rectangle

Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Rectangle

Length of Rectangle

Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Rectangle

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

atan

Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.

Syntax: atan(Number)

Other Formulas to find Acute Angle between Diagonals of Rectangle

Go Acute Angle between Diagonals of Rectangle given Diagonal and Length

∠ d(Acute) = 2 \cdot a \cos (\frac{l}{d})

Go Acute Angle between Diagonals of Rectangle given Diagonal and Breadth

∠ d(Acute) = 2 \cdot a \sin (\frac{b}{d})

Go Acute Angle between Diagonals of Rectangle given Length and Circumradius

∠ d(Acute) = 2 \cdot a \cos (\frac{l}{2 \cdot r c})

Go Acute Angle between Diagonals of Rectangle given Breadth and Circumradius

∠ d(Acute) = 2 \cdot a \sin (\frac{b}{2 \cdot r c})

How to Evaluate Acute Angle between Diagonals of Rectangle given Perimeter and Length?

Acute Angle between Diagonals of Rectangle given Perimeter and Length evaluator uses Acute Angle between Diagonals of Rectangle = 2*atan(((Perimeter of Rectangle/2)-Length of Rectangle)/Length of Rectangle) to evaluate the Acute Angle between Diagonals of Rectangle, The Acute Angle between Diagonals of Rectangle given Perimeter and Length formula is defined as the angle made by the diagonals of the Rectangle which is less than 90 degrees and calculated using perimeter and length of Rectangle. Acute Angle between Diagonals of Rectangle is denoted by ∠_d(Acute) symbol.

How to evaluate Acute Angle between Diagonals of Rectangle given Perimeter and Length using this online evaluator? To use this online evaluator for Acute Angle between Diagonals of Rectangle given Perimeter and Length, enter Perimeter of Rectangle (P) & Length of Rectangle (l) and hit the calculate button.

FAQs on Acute Angle between Diagonals of Rectangle given Perimeter and Length

What is the formula to find Acute Angle between Diagonals of Rectangle given Perimeter and Length?

The formula of Acute Angle between Diagonals of Rectangle given Perimeter and Length is expressed as Acute Angle between Diagonals of Rectangle = 2*atan(((Perimeter of Rectangle/2)-Length of Rectangle)/Length of Rectangle). Here is an example- 4224.979 = 2*atan(((28/2)-8)/8).

How to calculate Acute Angle between Diagonals of Rectangle given Perimeter and Length?

With Perimeter of Rectangle (P) & Length of Rectangle (l) we can find Acute Angle between Diagonals of Rectangle given Perimeter and Length using the formula - Acute Angle between Diagonals of Rectangle = 2*atan(((Perimeter of Rectangle/2)-Length of Rectangle)/Length of Rectangle). This formula also uses Tangent (tan), Inverse Tan (atan) function(s).

What are the other ways to Calculate Acute Angle between Diagonals of Rectangle?

Here are the different ways to Calculate Acute Angle between Diagonals of Rectangle-

Acute Angle between Diagonals of Rectangle=2*acos(Length of Rectangle/Diagonal of Rectangle)
Acute Angle between Diagonals of Rectangle=2*asin(Breadth of Rectangle/Diagonal of Rectangle)
Acute Angle between Diagonals of Rectangle=2*acos(Length of Rectangle/(2*Circumradius of Rectangle))

Can the Acute Angle between Diagonals of Rectangle given Perimeter and Length be negative?

No, the Acute Angle between Diagonals of Rectangle given Perimeter and Length, measured in Angle cannot be negative.

Which unit is used to measure Acute Angle between Diagonals of Rectangle given Perimeter and Length?

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

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