Breadth of Rectangle given Diagonal and Obtuse Angle between Diagonals Solution

STEP 0: Pre-Calculation Summary
Formula Used
Breadth of Rectangle = Diagonal of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2)
b = d*cos(d(Obtuse)/2)
This formula uses 1 Functions, 3 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
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.
Diagonal of Rectangle - (Measured in Meter) - Diagonal of Rectangle is the length of the line joining any pair of opposite vertices 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
Diagonal of Rectangle: 10 Meter --> 10 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
b = d*cos(∠d(Obtuse)/2) --> 10*cos(1.9198621771934/2)
Evaluating ... ...
b = 5.73576436351195
STEP 3: Convert Result to Output's Unit
5.73576436351195 Meter --> No Conversion Required
FINAL ANSWER
5.73576436351195 5.735764 Meter <-- Breadth of Rectangle
(Calculation completed in 00.020 seconds)

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Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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Walchand College of Engineering (WCE), Sangli
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Breadth of Rectangle Calculators

Breadth of Rectangle given Diagonal and Obtuse Angle between Diagonals
​ LaTeX ​ Go Breadth of Rectangle = Diagonal of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2)
Breadth of Rectangle given Diagonal and Acute Angle between Diagonals
​ LaTeX ​ Go Breadth of Rectangle = Diagonal of Rectangle*sin(Acute Angle between Diagonals of Rectangle/2)
Breadth of Rectangle given Perimeter
​ LaTeX ​ Go Breadth of Rectangle = (Perimeter of Rectangle-(2*Length of Rectangle))/2
Breadth of Rectangle given Area
​ LaTeX ​ Go Breadth of Rectangle = Area of Rectangle/Length of Rectangle

Breadth of Rectangle given Diagonal and Obtuse Angle between Diagonals Formula

​LaTeX ​Go
Breadth of Rectangle = Diagonal of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2)
b = d*cos(d(Obtuse)/2)

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 Breadth of Rectangle given Diagonal and Obtuse Angle between Diagonals?

Breadth of Rectangle given Diagonal and Obtuse Angle between Diagonals calculator uses Breadth of Rectangle = Diagonal of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2) to calculate the Breadth of Rectangle, Breadth of Rectangle given Diagonal and Obtuse Angle between Diagonals formula is defined as any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides, and calculated using diagonal and obtuse angle between diagonals of the Rectangle. Breadth of Rectangle is denoted by b symbol.

How to calculate Breadth of Rectangle given Diagonal and Obtuse Angle between Diagonals using this online calculator? To use this online calculator for Breadth of Rectangle given Diagonal and Obtuse Angle between Diagonals, enter Diagonal of Rectangle (d) & Obtuse Angle between Diagonals of Rectangle (∠d(Obtuse)) and hit the calculate button. Here is how the Breadth of Rectangle given Diagonal and Obtuse Angle between Diagonals calculation can be explained with given input values -> 5.735764 = 10*cos(1.9198621771934/2).

FAQ

What is Breadth of Rectangle given Diagonal and Obtuse Angle between Diagonals?
Breadth of Rectangle given Diagonal and Obtuse Angle between Diagonals formula is defined as any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides, and calculated using diagonal and obtuse angle between diagonals of the Rectangle and is represented as b = d*cos(∠d(Obtuse)/2) or Breadth of Rectangle = Diagonal of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2). Diagonal of Rectangle is the length of the line joining any pair of opposite vertices 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 Breadth of Rectangle given Diagonal and Obtuse Angle between Diagonals?
Breadth of Rectangle given Diagonal and Obtuse Angle between Diagonals formula is defined as any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides, and calculated using diagonal and obtuse angle between diagonals of the Rectangle is calculated using Breadth of Rectangle = Diagonal of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2). To calculate Breadth of Rectangle given Diagonal and Obtuse Angle between Diagonals, you need Diagonal of Rectangle (d) & Obtuse Angle between Diagonals of Rectangle (∠d(Obtuse)). With our tool, you need to enter the respective value for Diagonal 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 Breadth of Rectangle?
In this formula, Breadth of Rectangle uses Diagonal of Rectangle & Obtuse Angle between Diagonals of Rectangle. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Breadth of Rectangle = Area of Rectangle/Length of Rectangle
  • Breadth of Rectangle = Diagonal of Rectangle*sin(Acute Angle between Diagonals of Rectangle/2)
  • Breadth of Rectangle = (Perimeter of Rectangle-(2*Length of Rectangle))/2
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