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Perimeter of Rectangle given Length and Obtuse Angle between Diagonals Formula

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GoPerimeter of Rectangle given Diagonal and Length Formula

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

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

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

Perimeter of Rectangle given Length and Obtuse Angle between Diagonals Example

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

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

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

27.2033 = 2 \cdot 8 \cdot (1 + \tan (\frac{3.1416 - 110}{2}))

27.2033m = 2 \cdot 8m \cdot (1 + \tan (\frac{3.1416 - 110°}{2}))

27.2033 = 2 \cdot 8 \cdot (1 + \tan (\frac{3.1416 - 110}{2}))

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Perimeter of Rectangle given Length and Obtuse Angle between Diagonals Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 2 \cdot 8m \cdot (1 + \tan (\frac{π - 110°}{2}))

Next Step Substitute values of Constants

∴

P = 2 \cdot 8m \cdot (1 + \tan (\frac{3.1416 - 110°}{2}))

Next Step Convert Units

∴

P = 2 \cdot 8m \cdot (1 + \tan (\frac{3.1416 - 1.9199rad}{2}))

Next Step Prepare to Evaluate

∴

P = 2 \cdot 8 \cdot (1 + \tan (\frac{3.1416 - 1.9199}{2}))

Next Step Evaluate

∴

P = 27.2033206113597m

LAST Step Rounding Answer

∴

P = 27.2033m

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

Variables

Constants

Functions

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

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 Perimeter of Rectangle

Go Perimeter of Rectangle

P = 2 \cdot (l + b)

Go Perimeter of Rectangle given Diagonal and Length

P = 2 \cdot (l + \sqrt{d^{2} - l^{2}})

Go Perimeter of Rectangle given Area and Length

P = \frac{2 \cdot (A + l^{2})}{l}

Go Perimeter of Rectangle given Breadth and Circumradius

P = 2 \cdot (b + \sqrt{(4 \cdot {r c}^{2}) - b^{2}})

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

Perimeter of Rectangle given Length and Obtuse Angle between Diagonals evaluator uses Perimeter of Rectangle = 2*Length of Rectangle*(1+tan((pi-Obtuse Angle between Diagonals of Rectangle)/2)) to evaluate the Perimeter of Rectangle, The Perimeter of Rectangle given Length and Obtuse Angle between Diagonals formula is defined as the total length of all the boundary lines of the Rectangle, and calculated using Length and Obtuse Angle between Diagonals of the Rectangle. Perimeter of Rectangle is denoted by P symbol.

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

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

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

The formula of Perimeter of Rectangle given Length and Obtuse Angle between Diagonals is expressed as Perimeter of Rectangle = 2*Length of Rectangle*(1+tan((pi-Obtuse Angle between Diagonals of Rectangle)/2)). Here is an example- 27.20332 = 2*8*(1+tan((pi-1.9198621771934)/2)).

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

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

What are the other ways to Calculate Perimeter of Rectangle?

Here are the different ways to Calculate Perimeter of Rectangle-

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

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

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

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

Perimeter of Rectangle given Length 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 Perimeter of Rectangle given Length and Obtuse Angle between Diagonals can be measured.

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