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Length of Rectangle given Perimeter and Obtuse Angle between Diagonals Formula

GoLength of Rectangle given Area and Breadth Formula

GoLength of Rectangle given Perimeter and Breadth Formula

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

l = \frac{P}{2} \cdot (\frac{\tan (\frac{∠ d(Obtuse)}{2})}{1 + \tan (\frac{∠ d(Obtuse)}{2})})

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

Length of Rectangle given Perimeter and Obtuse Angle between Diagonals Example

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

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

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

8.2343 = \frac{28}{2} \cdot (\frac{\tan (\frac{110}{2})}{1 + \tan (\frac{110}{2})})

8.2343m = \frac{28m}{2} \cdot (\frac{\tan (\frac{110°}{2})}{1 + \tan (\frac{110°}{2})})

8.2343 = \frac{28}{2} \cdot (\frac{\tan (\frac{110}{2})}{1 + \tan (\frac{110}{2})})

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Length of Rectangle given Perimeter and Obtuse Angle between Diagonals Solution

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

FIRST Step Consider the formula

l = \frac{P}{2} \cdot (\frac{\tan (\frac{∠ d(Obtuse)}{2})}{1 + \tan (\frac{∠ d(Obtuse)}{2})})

Next Step Substitute values of Variables

∴

l = \frac{28m}{2} \cdot (\frac{\tan (\frac{110°}{2})}{1 + \tan (\frac{110°}{2})})

Next Step Convert Units

∴

l = \frac{28m}{2} \cdot (\frac{\tan (\frac{1.9199rad}{2})}{1 + \tan (\frac{1.9199rad}{2})})

Next Step Prepare to Evaluate

∴

l = \frac{28}{2} \cdot (\frac{\tan (\frac{1.9199}{2})}{1 + \tan (\frac{1.9199}{2})})

Next Step Evaluate

∴

l = 8.23428886495795m

LAST Step Rounding Answer

∴

l = 8.2343m

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

Variables

Functions

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

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

Obtuse Angle between Diagonals of Rectangle

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

Symbol: ∠_d(Obtuse)

Measurement: AngleUnit: °

Note: Value should be between 90 to 180.

Formulas to find Obtuse Angle between Diagonals 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)

Other Formulas to find Length of Rectangle

Go Length of Rectangle given Area and Breadth

l = \frac{A}{b}

Go Length of Rectangle given Perimeter and Breadth

l = \frac{P - (2 \cdot b)}{2}

Go Length of Rectangle given Diagonal and Breadth

l = \sqrt{d^{2} - b^{2}}

Go Length of Rectangle given Diagonal and Obtuse Angle between Diagonals

l = d \cdot \sin (\frac{∠ d(Obtuse)}{2})

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

Length of Rectangle given Perimeter and Obtuse Angle between Diagonals evaluator uses Length of Rectangle = Perimeter of Rectangle/2*((tan(Obtuse Angle between Diagonals of Rectangle/2))/(1+tan(Obtuse Angle between Diagonals of Rectangle/2))) to evaluate the Length of Rectangle, The Length of Rectangle given Perimeter and Obtuse angle between Diagonals formula is defined as any one of the pair of parallel sides which are longer than the remaining pair of parallel sides and calculated using Perimeter and Obtuse angle between Diagonals of the Rectangle. Length of Rectangle is denoted by l symbol.

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

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

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

The formula of Length of Rectangle given Perimeter and Obtuse Angle between Diagonals is expressed as Length of Rectangle = Perimeter of Rectangle/2*((tan(Obtuse Angle between Diagonals of Rectangle/2))/(1+tan(Obtuse Angle between Diagonals of Rectangle/2))). Here is an example- 8.234289 = 28/2*((tan(1.9198621771934/2))/(1+tan(1.9198621771934/2))).

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

With Perimeter of Rectangle (P) & Obtuse Angle between Diagonals of Rectangle (∠_d(Obtuse)) we can find Length of Rectangle given Perimeter and Obtuse Angle between Diagonals using the formula - Length of Rectangle = Perimeter of Rectangle/2*((tan(Obtuse Angle between Diagonals of Rectangle/2))/(1+tan(Obtuse Angle between Diagonals of Rectangle/2))). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Length of Rectangle?

Here are the different ways to Calculate Length of Rectangle-

Length of Rectangle=Area of Rectangle/Breadth of Rectangle
Length of Rectangle=(Perimeter of Rectangle-(2*Breadth of Rectangle))/2
Length of Rectangle=sqrt(Diagonal of Rectangle^2-Breadth of Rectangle^2)

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

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

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

Length of Rectangle given Perimeter and Obtuse Angle between Diagonals is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Rectangle given Perimeter and Obtuse Angle between Diagonals can be measured.

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