Obtuse Angle between Diagonals of Rectangle given 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%
✖Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle.ⓘ Diagonal of Rectangle [d]			+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 given Diagonal and Breadth [∠_d(Obtuse)]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Rectangle Formula PDF PDF Image

Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Obtuse Angle between Diagonals of Rectangle = 2*acos(Breadth of Rectangle/Diagonal of Rectangle)
∠_d(Obtuse) = 2*acos(b/d)
This formula uses 2 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)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(Number)

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Breadth of Rectangle: 6 Meter --> 6 Meter No Conversion Required
Diagonal of Rectangle: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_d(Obtuse) = 2*acos(b/d) --> 2*acos(6/10)

Evaluating ... ...

∠_d(Obtuse) = 1.85459043600322

STEP 3: Convert Result to Output's Unit

1.85459043600322 Radian -->106.260204708332 Degree (Check conversion here)

FINAL ANSWER

106.260204708332 ≈ 106.2602 Degree <-- Obtuse Angle between Diagonals of Rectangle

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Rectangle » Angle of Rectangle » Obtuse Angle between Diagonals of Rectangle » Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth

Credits

Created by Shivakshi Bhardwaj

Cluster Innovation Centre (CIC), Delhi, 110007

Shivakshi Bhardwaj has created this Calculator and 100+ more calculators!

Verified by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has verified this Calculator and 1500+ more calculators!

< Obtuse Angle between Diagonals of Rectangle Calculators

Obtuse Angle between Diagonals of Rectangle given Breadth and Circumradius

LaTeX Go Obtuse Angle between Diagonals of Rectangle = 2*acos(Breadth of Rectangle/(2*Circumradius of Rectangle))

Obtuse Angle between Diagonals of Rectangle given Length and Circumradius

LaTeX Go Obtuse Angle between Diagonals of Rectangle = 2*asin(Length of Rectangle/(2*Circumradius of Rectangle))

Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth

LaTeX Go Obtuse Angle between Diagonals of Rectangle = 2*acos(Breadth of Rectangle/Diagonal of Rectangle)

Obtuse Angle between Diagonals of Rectangle given Diagonal and Length

LaTeX Go Obtuse Angle between Diagonals of Rectangle = 2*asin(Length of Rectangle/Diagonal of Rectangle)

Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth Formula

LaTeX Go

Obtuse Angle between Diagonals of Rectangle = 2*acos(Breadth of Rectangle/Diagonal of Rectangle)
∠_d(Obtuse) = 2*acos(b/d)

What is Angle?

In geometry, an angle can be defined as the figure formed by two rays starting from a common endpoint. As a measure, angle is the degree of wideness of the two rays forming the angle. Degree and Radian are the most common units of angle and they are related by pi radian = 180 degrees, where the two rays together form a straight line.

Property of angles formed between the diagonals of rectangle.

The diagonals of a rectangle are not perpendicular to each other except square. The angles formed by the intersection are not always the same measure, one is acute and another is obtuse. Opposite central angles are congruent and have the same size.

How to Calculate Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth?

Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth calculator uses Obtuse Angle between Diagonals of Rectangle = 2*acos(Breadth of Rectangle/Diagonal of Rectangle) to calculate the Obtuse Angle between Diagonals of Rectangle, The Obtuse angle between Diagonals of Rectangle given Diagonal and Breadth formula is defined as the Angle made by the Diagonals of the Rectangle which is greater than 90 degrees and calculated using Diagonal and Breadth of Rectangle. Obtuse Angle between Diagonals of Rectangle is denoted by ∠_d(Obtuse) symbol.

How to calculate Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth using this online calculator? To use this online calculator for Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth, enter Breadth of Rectangle (b) & Diagonal of Rectangle (d) and hit the calculate button. Here is how the Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth calculation can be explained with given input values -> 6088.261 = 2*acos(6/10).

FAQ

What is Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth?

The Obtuse angle between Diagonals of Rectangle given Diagonal and Breadth formula is defined as the Angle made by the Diagonals of the Rectangle which is greater than 90 degrees and calculated using Diagonal and Breadth of Rectangle and is represented as ∠_d(Obtuse) = 2*acos(b/d) or Obtuse Angle between Diagonals of Rectangle = 2*acos(Breadth of Rectangle/Diagonal of Rectangle). 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 is the length of the line joining any pair of opposite vertices of the Rectangle.

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

The Obtuse angle between Diagonals of Rectangle given Diagonal and Breadth formula is defined as the Angle made by the Diagonals of the Rectangle which is greater than 90 degrees and calculated using Diagonal and Breadth of Rectangle is calculated using Obtuse Angle between Diagonals of Rectangle = 2*acos(Breadth of Rectangle/Diagonal of Rectangle). To calculate Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth, you need Breadth of Rectangle (b) & Diagonal of Rectangle (d). With our tool, you need to enter the respective value for Breadth of Rectangle & Diagonal 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 Obtuse Angle between Diagonals of Rectangle?

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

Obtuse Angle between Diagonals of Rectangle = 2*asin(Length of Rectangle/Diagonal of Rectangle)
Obtuse Angle between Diagonals of Rectangle = 2*asin(Length of Rectangle/(2*Circumradius of Rectangle))
Obtuse Angle between Diagonals of Rectangle = 2*acos(Breadth of Rectangle/(2*Circumradius of Rectangle))

Home

FREE PDFs

🔍 Search