Perimeter of Rectangle given Area and Obtuse Angle between Diagonals Calculator

✖Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.ⓘ Area of Rectangle [A]			+10% -10%
✖Obtuse Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is greater than 90 degrees.ⓘ Obtuse Angle between Diagonals of Rectangle [∠_d(Obtuse)]			+10% -10%

✖Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.ⓘ Perimeter of Rectangle given Area and Obtuse Angle between Diagonals [P]

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Perimeter of Rectangle given Area and Obtuse Angle between Diagonals Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Rectangle = 2*sqrt(Area of Rectangle*cosec((pi-Obtuse Angle between Diagonals of Rectangle)/2)*sec((pi-Obtuse Angle between Diagonals of Rectangle)/2)+(2*Area of Rectangle))
P = 2*sqrt(A*cosec((pi-∠_d(Obtuse))/2)*sec((pi-∠_d(Obtuse))/2)+(2*A))
This formula uses 1 Constants, 3 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sec - Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine., sec(Angle)
cosec - The cosecant function is a trigonometric function that is the reciprocal of the sine function., cosec(Angle)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Perimeter of Rectangle - (Measured in Meter) - Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.
Area of Rectangle - (Measured in Square Meter) - Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.
Obtuse Angle between Diagonals of Rectangle - (Measured in Radian) - Obtuse Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is greater than 90 degrees.

STEP 1: Convert Input(s) to Base Unit

Area of Rectangle: 48 Square Meter --> 48 Square Meter No Conversion Required
Obtuse Angle between Diagonals of Rectangle: 110 Degree --> 1.9198621771934 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 2*sqrt(A*cosec((pi-∠_d(Obtuse))/2)*sec((pi-∠_d(Obtuse))/2)+(2*A)) --> 2*sqrt(48*cosec((pi-1.9198621771934)/2)*sec((pi-1.9198621771934)/2)+(2*48))

Evaluating ... ...

P = 28.1539387054582

STEP 3: Convert Result to Output's Unit

28.1539387054582 Meter --> No Conversion Required

FINAL ANSWER

28.1539387054582 ≈ 28.15394 Meter <-- Perimeter of Rectangle

(Calculation completed in 00.020 seconds)

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Created by Bhavya Mutyala

Osmania University (OU), Hyderabad

Bhavya Mutyala has created this Calculator and 200+ more calculators!

Verified by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

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Perimeter of Rectangle given Area and Length

LaTeX Go Perimeter of Rectangle = (2*(Area of Rectangle+Length of Rectangle^2))/Length of Rectangle

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LaTeX Go Perimeter of Rectangle = 2*(Length of Rectangle+Breadth of Rectangle)

Perimeter of Rectangle given Area and Obtuse Angle between Diagonals Formula

LaTeX Go

What is a Rectangle?

A Rectangle is a two dimensional geometric shape having four sides and four corners. The four sides are in two pairs, in which each pair of lines are equal in length and parallel to each other. And adjacent sides are perpendicular to each other. In general a 2D shape with four boundary edges are called quadrilaterals. So a rectangle is a quadrilateral in which each corner is right angle.

How to Calculate Perimeter of Rectangle given Area and Obtuse Angle between Diagonals?

Perimeter of Rectangle given Area and Obtuse Angle between Diagonals calculator uses Perimeter of Rectangle = 2*sqrt(Area of Rectangle*cosec((pi-Obtuse Angle between Diagonals of Rectangle)/2)*sec((pi-Obtuse Angle between Diagonals of Rectangle)/2)+(2*Area of Rectangle)) to calculate the Perimeter of Rectangle, The Perimeter of Rectangle given Area and Obtuse Angle between Diagonals formula is defined as the total length of all the boundary lines of the Rectangle, and calculated using Area and Obtuse Angle between Diagonals of the Rectangle. Perimeter of Rectangle is denoted by P symbol.

How to calculate Perimeter of Rectangle given Area and Obtuse Angle between Diagonals using this online calculator? To use this online calculator for Perimeter of Rectangle given Area and Obtuse Angle between Diagonals, enter Area of Rectangle (A) & Obtuse Angle between Diagonals of Rectangle (∠_d(Obtuse)) and hit the calculate button. Here is how the Perimeter of Rectangle given Area and Obtuse Angle between Diagonals calculation can be explained with given input values -> 28.15394 = 2*sqrt(48*cosec((pi-1.9198621771934)/2)*sec((pi-1.9198621771934)/2)+(2*48)).

FAQ

What is Perimeter of Rectangle given Area and Obtuse Angle between Diagonals?

The Perimeter of Rectangle given Area and Obtuse Angle between Diagonals formula is defined as the total length of all the boundary lines of the Rectangle, and calculated using Area and Obtuse Angle between Diagonals of the Rectangle and is represented as P = 2*sqrt(A*cosec((pi-∠_d(Obtuse))/2)*sec((pi-∠_d(Obtuse))/2)+(2*A)) or Perimeter of Rectangle = 2*sqrt(Area of Rectangle*cosec((pi-Obtuse Angle between Diagonals of Rectangle)/2)*sec((pi-Obtuse Angle between Diagonals of Rectangle)/2)+(2*Area of Rectangle)). Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle & Obtuse Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is greater than 90 degrees.

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

The Perimeter of Rectangle given Area and Obtuse Angle between Diagonals formula is defined as the total length of all the boundary lines of the Rectangle, and calculated using Area and Obtuse Angle between Diagonals of the Rectangle is calculated using Perimeter of Rectangle = 2*sqrt(Area of Rectangle*cosec((pi-Obtuse Angle between Diagonals of Rectangle)/2)*sec((pi-Obtuse Angle between Diagonals of Rectangle)/2)+(2*Area of Rectangle)). To calculate Perimeter of Rectangle given Area and Obtuse Angle between Diagonals, you need Area of Rectangle (A) & Obtuse Angle between Diagonals of Rectangle (∠_d(Obtuse)). With our tool, you need to enter the respective value for Area of Rectangle & Obtuse Angle between Diagonals of Rectangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Perimeter of Rectangle?

In this formula, Perimeter of Rectangle uses Area of Rectangle & Obtuse Angle between Diagonals of Rectangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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