Perimeter of Rectangle given Breadth and Angle between Diagonal and Breadth Calculator

✖Breadth of Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides.ⓘ Breadth of Rectangle [b]			+10% -10%
✖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.ⓘ Angle between Diagonal and Breadth of Rectangle [∠_db]			+10% -10%

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

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

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Rectangle = 2*Breadth of Rectangle*(1+cot((pi/2)-Angle between Diagonal and Breadth of Rectangle))
P = 2*b*(1+cot((pi/2)-∠_db))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)

Variables Used

Perimeter of Rectangle - (Measured in Meter) - Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.
Breadth of Rectangle - (Measured in Meter) - Breadth of Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides.
Angle between Diagonal and Breadth of Rectangle - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Breadth of Rectangle: 6 Meter --> 6 Meter No Conversion Required
Angle between Diagonal and Breadth of Rectangle: 55 Degree --> 0.959931088596701 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 2*b*(1+cot((pi/2)-∠_db)) --> 2*6*(1+cot((pi/2)-0.959931088596701))

Evaluating ... ...

P = 29.1377760808988

STEP 3: Convert Result to Output's Unit

29.1377760808988 Meter --> No Conversion Required

FINAL ANSWER

29.1377760808988 ≈ 29.13778 Meter <-- Perimeter of Rectangle

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< Perimeter of Rectangle Calculators

Perimeter of Rectangle given Breadth and Circumradius

LaTeX Go Perimeter of Rectangle = 2*(Breadth of Rectangle+sqrt((4*Circumradius of Rectangle^2)-Breadth of Rectangle^2))

Perimeter of Rectangle given Diagonal and Length

LaTeX Go Perimeter of Rectangle = 2*(Length of Rectangle+sqrt(Diagonal of Rectangle^2-Length of Rectangle^2))

Perimeter of Rectangle given Area and Length

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

Perimeter of Rectangle

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

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

LaTeX Go

Perimeter of Rectangle = 2*Breadth of Rectangle*(1+cot((pi/2)-Angle between Diagonal and Breadth of Rectangle))
P = 2*b*(1+cot((pi/2)-∠_db))

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 Breadth and Angle between Diagonal and Breadth?

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

How to calculate Perimeter of Rectangle given Breadth and Angle between Diagonal and Breadth using this online calculator? To use this online calculator for Perimeter of Rectangle given Breadth and Angle between Diagonal and Breadth, enter Breadth of Rectangle (b) & Angle between Diagonal and Breadth of Rectangle (∠_db) and hit the calculate button. Here is how the Perimeter of Rectangle given Breadth and Angle between Diagonal and Breadth calculation can be explained with given input values -> 29.13778 = 2*6*(1+cot((pi/2)-0.959931088596701)).

FAQ

What is Perimeter of Rectangle given Breadth and Angle between Diagonal and Breadth?

The Perimeter of Rectangle given Breadth and Angle between Diagonal and Breadth formula is defined as the total length of all the boundary lines of the Rectangle, and calculated using Breadth and Angle between Diagonal and Breadth of the Rectangle. and is represented as P = 2*b*(1+cot((pi/2)-∠_db)) or Perimeter of Rectangle = 2*Breadth of Rectangle*(1+cot((pi/2)-Angle between Diagonal and Breadth of Rectangle)). Breadth of Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides & 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.

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

The Perimeter of Rectangle given Breadth and Angle between Diagonal and Breadth formula is defined as the total length of all the boundary lines of the Rectangle, and calculated using Breadth and Angle between Diagonal and Breadth of the Rectangle. is calculated using Perimeter of Rectangle = 2*Breadth of Rectangle*(1+cot((pi/2)-Angle between Diagonal and Breadth of Rectangle)). To calculate Perimeter of Rectangle given Breadth and Angle between Diagonal and Breadth, you need Breadth of Rectangle (b) & Angle between Diagonal and Breadth of Rectangle (∠_db). With our tool, you need to enter the respective value for Breadth of Rectangle & Angle between Diagonal and Breadth 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 Breadth of Rectangle & Angle between Diagonal and Breadth 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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