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Perimeter of Rectangle given Length and Angle between Diagonal and Breadth 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 ((\frac{π}{2}) - ∠ db))

P - Perimeter of Rectangle?l - Length of Rectangle?∠_db - Angle between Diagonal and Breadth of Rectangle?π - Archimedes' constant?

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

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

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

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

27.2033 = 2 \cdot 8 \cdot (1 + \tan ((\frac{3.1416}{2}) - 55))

27.2033m = 2 \cdot 8m \cdot (1 + \tan ((\frac{3.1416}{2}) - 55°))

27.2033 = 2 \cdot 8 \cdot (1 + \tan ((\frac{3.1416}{2}) - 55))

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 2 \cdot 8m \cdot (1 + \tan ((\frac{π}{2}) - 55°))

Next Step Substitute values of Constants

∴

P = 2 \cdot 8m \cdot (1 + \tan ((\frac{3.1416}{2}) - 55°))

Next Step Convert Units

∴

P = 2 \cdot 8m \cdot (1 + \tan ((\frac{3.1416}{2}) - 0.9599rad))

Next Step Prepare to Evaluate

∴

P = 2 \cdot 8 \cdot (1 + \tan ((\frac{3.1416}{2}) - 0.9599))

Next Step Evaluate

∴

P = 27.2033206113597m

LAST Step Rounding Answer

∴

P = 27.2033m

Perimeter of Rectangle given Length and Angle between Diagonal and Breadth 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

Angle between Diagonal and Breadth of Rectangle

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

Symbol: ∠_db

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Angle between Diagonal and Breadth 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 Angle between Diagonal and Breadth?

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

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

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

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

The formula of Perimeter of Rectangle given Length and Angle between Diagonal and Breadth is expressed as Perimeter of Rectangle = 2*Length of Rectangle*(1+tan((pi/2)-Angle between Diagonal and Breadth of Rectangle)). Here is an example- 27.20332 = 2*8*(1+tan((pi/2)-0.959931088596701)).

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

With Length of Rectangle (l) & Angle between Diagonal and Breadth of Rectangle (∠_db) we can find Perimeter of Rectangle given Length and Angle between Diagonal and Breadth using the formula - Perimeter of Rectangle = 2*Length of Rectangle*(1+tan((pi/2)-Angle between Diagonal and Breadth of Rectangle)). 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 Angle between Diagonal and Breadth be negative?

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

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

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

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