Breadth of Rectangle given Diameter of Circumcircle and Obtuse Angle between Diagonals Calculator

✖Diameter of Circumcircle of Rectangle is the diameter of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle.ⓘ Diameter of Circumcircle of Rectangle [D_c]			+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%

✖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 given Diameter of Circumcircle and Obtuse Angle between Diagonals [b]

⎘ Copy

👎

Formula

✖

Breadth of Rectangle given Diameter of Circumcircle and Obtuse Angle between Diagonals

Formula

b = D c \cdot \cos (\frac{∠ d(Obtuse)}{2})

Example

5.735764 m = 10 m \cdot \cos (\frac{110 °}{2})

Calculator

LaTeX

Reset

👍

Download Rectangle Formula PDF PDF Image

Breadth of Rectangle given Diameter of Circumcircle and Obtuse Angle between Diagonals Solution

STEP 0: Pre-Calculation Summary

Formula Used

Breadth of Rectangle = Diameter of Circumcircle of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2)
b = D_c*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.
Diameter of Circumcircle of Rectangle - (Measured in Meter) - Diameter of Circumcircle of Rectangle is the diameter of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle.
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

Diameter of Circumcircle 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_c*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 00.004 seconds)

You are here -

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

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!

< Breadth of Rectangle Calculators

Breadth of Rectangle given Diagonal and Obtuse Angle between Diagonals

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

Go Breadth of Rectangle = Diagonal of Rectangle*sin(Acute Angle between Diagonals of Rectangle/2)

Breadth of Rectangle given Perimeter

Go Breadth of Rectangle = (Perimeter of Rectangle-(2*Length of Rectangle))/2

Breadth of Rectangle given Area

Go Breadth of Rectangle = Area of Rectangle/Length of Rectangle

Breadth of Rectangle given Diameter of Circumcircle and Obtuse Angle between Diagonals Formula

Breadth of Rectangle = Diameter of Circumcircle of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2)
b = D_c*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 Diameter of Circumcircle and Obtuse Angle between Diagonals?

Breadth of Rectangle given Diameter of Circumcircle and Obtuse Angle between Diagonals calculator uses Breadth of Rectangle = Diameter of Circumcircle of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2) to calculate the Breadth of Rectangle, The Breadth of Rectangle given Diameter of Circumcircle 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 Diameter of Circumcircle and Obtuse Angle between Diagonals of the Rectangle. Breadth of Rectangle is denoted by b symbol.

How to calculate Breadth of Rectangle given Diameter of Circumcircle and Obtuse Angle between Diagonals using this online calculator? To use this online calculator for Breadth of Rectangle given Diameter of Circumcircle and Obtuse Angle between Diagonals, enter Diameter of Circumcircle of Rectangle (D_c) & Obtuse Angle between Diagonals of Rectangle (∠_d(Obtuse)) and hit the calculate button. Here is how the Breadth of Rectangle given Diameter of Circumcircle 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 Diameter of Circumcircle and Obtuse Angle between Diagonals?

The Breadth of Rectangle given Diameter of Circumcircle 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 Diameter of Circumcircle and Obtuse Angle between Diagonals of the Rectangle and is represented as b = D_c*cos(∠_d(Obtuse)/2) or Breadth of Rectangle = Diameter of Circumcircle of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2). Diameter of Circumcircle of Rectangle is the diameter of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle & 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 Diameter of Circumcircle and Obtuse Angle between Diagonals?

The Breadth of Rectangle given Diameter of Circumcircle 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 Diameter of Circumcircle and Obtuse Angle between Diagonals of the Rectangle is calculated using Breadth of Rectangle = Diameter of Circumcircle of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2). To calculate Breadth of Rectangle given Diameter of Circumcircle and Obtuse Angle between Diagonals, you need Diameter of Circumcircle of Rectangle (D_c) & Obtuse Angle between Diagonals of Rectangle (∠_d(Obtuse)). With our tool, you need to enter the respective value for Diameter of Circumcircle 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 Diameter of Circumcircle 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*cos(Obtuse Angle between Diagonals of Rectangle/2)
Breadth of Rectangle = Diagonal of Rectangle*sin(Acute Angle between Diagonals of Rectangle/2)

Home

FREE PDFs

🔍 Search