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Perimeter of Rectangle given Length and Angle between Diagonal and Length Formula

GoPerimeter of Rectangle Formula

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 (∠ dl))

P - Perimeter of Rectangle?l - Length of Rectangle?∠_dl - Angle between Diagonal and Length of Rectangle?

Perimeter of Rectangle given Length and Angle between Diagonal and Length Example

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

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

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

27.2033 = 2 \cdot 8 \cdot (1 + \tan (35))

27.2033m = 2 \cdot 8m \cdot (1 + \tan (35°))

27.2033 = 2 \cdot 8 \cdot (1 + \tan (35))

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Perimeter of Rectangle given Length and Angle between Diagonal and Length Solution

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

FIRST Step Consider the formula

P = 2 \cdot l \cdot (1 + \tan (∠ dl))

Next Step Substitute values of Variables

∴

P = 2 \cdot 8m \cdot (1 + \tan (35°))

Next Step Convert Units

∴

P = 2 \cdot 8m \cdot (1 + \tan (0.6109rad))

Next Step Prepare to Evaluate

∴

P = 2 \cdot 8 \cdot (1 + \tan (0.6109))

Next Step Evaluate

∴

P = 27.2033206113526m

LAST Step Rounding Answer

∴

P = 27.2033m

Perimeter of Rectangle given Length and Angle between Diagonal and Length Formula Elements

Variables

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

Angle between Diagonal and Length of Rectangle

Angle between Diagonal and Length of Rectangle is the measure of wideness of the angle made by any diagonal with the length of the Rectangle.

Symbol: ∠_dl

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Angle between Diagonal and 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)

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 Angle between Diagonal and Length?

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

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

FAQs on Perimeter of Rectangle given Length and Angle between Diagonal and Length

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

The formula of Perimeter of Rectangle given Length and Angle between Diagonal and Length is expressed as Perimeter of Rectangle = 2*Length of Rectangle*(1+tan(Angle between Diagonal and Length of Rectangle)). Here is an example- 27.20332 = 2*8*(1+tan(0.610865238197901)).

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

With Length of Rectangle (l) & Angle between Diagonal and Length of Rectangle (∠_dl) we can find Perimeter of Rectangle given Length and Angle between Diagonal and Length using the formula - Perimeter of Rectangle = 2*Length of Rectangle*(1+tan(Angle between Diagonal and Length of Rectangle)). This formula also uses Tangent 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 Angle between Diagonal and Length be negative?

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

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

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

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