Circumradius of Rectangle given Length and Obtuse Angle between Diagonals Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumradius of Rectangle = Length of Rectangle/(2*sin(Obtuse Angle between Diagonals of Rectangle/2))
rc = l/(2*sin(d(Obtuse)/2))
This formula uses 1 Functions, 3 Variables
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Circumradius of Rectangle - (Measured in Meter) - Circumradius of Rectangle is the radius of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle.
Length of Rectangle - (Measured in Meter) - Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.
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
Length of Rectangle: 8 Meter --> 8 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
rc = l/(2*sin(∠d(Obtuse)/2)) --> 8/(2*sin(1.9198621771934/2))
Evaluating ... ...
rc = 4.88309835504644
STEP 3: Convert Result to Output's Unit
4.88309835504644 Meter --> No Conversion Required
FINAL ANSWER
4.88309835504644 4.883098 Meter <-- Circumradius of Rectangle
(Calculation completed in 00.004 seconds)

Credits

Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has created this Calculator and 600+ more calculators!
Verified by Team Softusvista
Softusvista Office (Pune), India
Team Softusvista has verified this Calculator and 1100+ more calculators!

24 Circumradius of Rectangle Calculators

Circumradius of Rectangle given Area and Angle between Diagonal and Breadth
Go Circumradius of Rectangle = 1/2*(sqrt(Area of Rectangle*cot((pi/2)-Angle between Diagonal and Breadth of Rectangle)))/(cos((pi/2)-Angle between Diagonal and Breadth of Rectangle))
Circumradius of Rectangle given Area and Obtuse Angle between Diagonals
Go Circumradius of Rectangle = 1/2*(sqrt(Area of Rectangle*cot((pi-Obtuse Angle between Diagonals of Rectangle)/2)))/(cos((pi-Obtuse Angle between Diagonals of Rectangle)/2))
Circumradius of Rectangle given Area and Angle between Diagonal and Length
Go Circumradius of Rectangle = 1/2*(sqrt(Area of Rectangle*cot(Angle between Diagonal and Length of Rectangle)))/(cos(Angle between Diagonal and Length of Rectangle))
Circumradius of Rectangle given Area and Acute Angle between Diagonals
Go Circumradius of Rectangle = 1/2*(sqrt(Area of Rectangle*cot(Acute Angle between Diagonals of Rectangle/2)))/(cos(Acute Angle between Diagonals of Rectangle/2))
Circumradius of Rectangle given Perimeter and Angle between Diagonal and Breadth
Go Circumradius of Rectangle = 1/2*(Perimeter of Rectangle/2*1/(sqrt(1+sin(2*((pi/2)-Angle between Diagonal and Breadth of Rectangle)))))
Circumradius of Rectangle given Perimeter and Breadth
Go Circumradius of Rectangle = sqrt(Perimeter of Rectangle^2-(4*Perimeter of Rectangle*Breadth of Rectangle)+(8*Breadth of Rectangle^2))/4
Circumradius of Rectangle given Perimeter and Length
Go Circumradius of Rectangle = sqrt(Perimeter of Rectangle^2-(4*Perimeter of Rectangle*Length of Rectangle)+(8*Length of Rectangle^2))/4
Circumradius of Rectangle given Perimeter and Obtuse Angle between Diagonals
Go Circumradius of Rectangle = 1/2*(Perimeter of Rectangle/2*1/(sqrt(1+sin(2*((pi-Obtuse Angle between Diagonals of Rectangle)/2)))))
Circumradius of Rectangle given Perimeter and Angle between Diagonal and Length
Go Circumradius of Rectangle = 1/2*(Perimeter of Rectangle/2*1/(sqrt(1+sin(2*Angle between Diagonal and Length of Rectangle))))
Circumradius of Rectangle given Perimeter and Acute Angle between Diagonals
Go Circumradius of Rectangle = 1/2*(Perimeter of Rectangle/2*1/(sqrt(1+sin(2*(Acute Angle between Diagonals of Rectangle/2)))))
Circumradius of Rectangle given Breadth and Angle between Diagonal and Breadth
Go Circumradius of Rectangle = 1/2*(Breadth of Rectangle*cosec((pi/2)-Angle between Diagonal and Breadth of Rectangle))
Circumradius of Rectangle given Length and Angle between Diagonal and Breadth
Go Circumradius of Rectangle = 1/2*(Length of Rectangle*sec((pi/2)-Angle between Diagonal and Breadth of Rectangle))
Circumradius of Rectangle given Breadth and Obtuse Angle between Diagonals
Go Circumradius of Rectangle = 1/2*(Breadth of Rectangle*cosec((pi-Obtuse Angle between Diagonals of Rectangle)/2))
Circumradius of Rectangle given Area and Breadth
Go Circumradius of Rectangle = 1/2*sqrt(Breadth of Rectangle^2+(Area of Rectangle/Breadth of Rectangle)^2)
Circumradius of Rectangle given Area and Length
Go Circumradius of Rectangle = 1/2*sqrt(Length of Rectangle^2+(Area of Rectangle/Length of Rectangle)^2)
Circumradius of Rectangle given Breadth and Angle between Diagonal and Length
Go Circumradius of Rectangle = 1/2*(Breadth of Rectangle*cosec(Angle between Diagonal and Length of Rectangle))
Circumradius of Rectangle given Breadth and Acute Angle between Diagonals
Go Circumradius of Rectangle = 1/2*(Breadth of Rectangle*cosec(Acute Angle between Diagonals of Rectangle/2))
Circumradius of Rectangle given Length and Angle between Diagonal and Length
Go Circumradius of Rectangle = 1/2*(Length of Rectangle*sec(Angle between Diagonal and Length of Rectangle))
Circumradius of Rectangle given Length and Obtuse Angle between Diagonals
Go Circumradius of Rectangle = Length of Rectangle/(2*sin(Obtuse Angle between Diagonals of Rectangle/2))
Circumradius of Rectangle given Length and Acute Angle between Diagonals
Go Circumradius of Rectangle = Length of Rectangle/(2*cos(Acute Angle between Diagonals of Rectangle/2))
Circumradius of Rectangle given Area and Perimeter
Go Circumradius of Rectangle = 1/4*sqrt(Perimeter of Rectangle^2-(8*Area of Rectangle))
Circumradius of Rectangle
Go Circumradius of Rectangle = sqrt(Length of Rectangle^2+Breadth of Rectangle^2)/2
Circumradius of Rectangle given Diameter of Circumcircle
Go Circumradius of Rectangle = Diameter of Circumcircle of Rectangle/2
Circumradius of Rectangle given Diagonal
Go Circumradius of Rectangle = Diagonal of Rectangle/2

Circumradius of Rectangle given Length and Obtuse Angle between Diagonals Formula

Circumradius of Rectangle = Length of Rectangle/(2*sin(Obtuse Angle between Diagonals of Rectangle/2))
rc = l/(2*sin(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 Circumradius of Rectangle given Length and Obtuse Angle between Diagonals?

Circumradius of Rectangle given Length and Obtuse Angle between Diagonals calculator uses Circumradius of Rectangle = Length of Rectangle/(2*sin(Obtuse Angle between Diagonals of Rectangle/2)) to calculate the Circumradius of Rectangle, Circumradius of Rectangle given Length and Obtuse Angle between Diagonals formula is defined as the radius of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle, and calculated using length and obtuse angle between diagonals of the Rectangle. Circumradius of Rectangle is denoted by rc symbol.

How to calculate Circumradius of Rectangle given Length and Obtuse Angle between Diagonals using this online calculator? To use this online calculator for Circumradius of Rectangle given Length and Obtuse Angle between Diagonals, enter Length of Rectangle (l) & Obtuse Angle between Diagonals of Rectangle (∠d(Obtuse)) and hit the calculate button. Here is how the Circumradius of Rectangle given Length and Obtuse Angle between Diagonals calculation can be explained with given input values -> 4.883098 = 8/(2*sin(1.9198621771934/2)).

FAQ

What is Circumradius of Rectangle given Length and Obtuse Angle between Diagonals?
Circumradius of Rectangle given Length and Obtuse Angle between Diagonals formula is defined as the radius of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle, and calculated using length and obtuse angle between diagonals of the Rectangle and is represented as rc = l/(2*sin(∠d(Obtuse)/2)) or Circumradius of Rectangle = Length of Rectangle/(2*sin(Obtuse Angle between Diagonals of Rectangle/2)). Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides & 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 Circumradius of Rectangle given Length and Obtuse Angle between Diagonals?
Circumradius of Rectangle given Length and Obtuse Angle between Diagonals formula is defined as the radius of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle, and calculated using length and obtuse angle between diagonals of the Rectangle is calculated using Circumradius of Rectangle = Length of Rectangle/(2*sin(Obtuse Angle between Diagonals of Rectangle/2)). To calculate Circumradius of Rectangle given Length and Obtuse Angle between Diagonals, you need Length of Rectangle (l) & Obtuse Angle between Diagonals of Rectangle (∠d(Obtuse)). With our tool, you need to enter the respective value for Length 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 Circumradius of Rectangle?
In this formula, Circumradius of Rectangle uses Length of Rectangle & Obtuse Angle between Diagonals of Rectangle. We can use 23 other way(s) to calculate the same, which is/are as follows -
  • Circumradius of Rectangle = sqrt(Perimeter of Rectangle^2-(4*Perimeter of Rectangle*Length of Rectangle)+(8*Length of Rectangle^2))/4
  • Circumradius of Rectangle = sqrt(Length of Rectangle^2+Breadth of Rectangle^2)/2
  • Circumradius of Rectangle = sqrt(Perimeter of Rectangle^2-(4*Perimeter of Rectangle*Breadth of Rectangle)+(8*Breadth of Rectangle^2))/4
  • Circumradius of Rectangle = Diagonal of Rectangle/2
  • Circumradius of Rectangle = Diameter of Circumcircle of Rectangle/2
  • Circumradius of Rectangle = Length of Rectangle/(2*cos(Acute Angle between Diagonals of Rectangle/2))
  • Circumradius of Rectangle = 1/4*sqrt(Perimeter of Rectangle^2-(8*Area of Rectangle))
  • Circumradius of Rectangle = 1/2*sqrt(Length of Rectangle^2+(Area of Rectangle/Length of Rectangle)^2)
  • Circumradius of Rectangle = 1/2*sqrt(Breadth of Rectangle^2+(Area of Rectangle/Breadth of Rectangle)^2)
  • Circumradius of Rectangle = 1/2*(sqrt(Area of Rectangle*cot(Angle between Diagonal and Length of Rectangle)))/(cos(Angle between Diagonal and Length of Rectangle))
  • Circumradius of Rectangle = 1/2*(sqrt(Area of Rectangle*cot((pi/2)-Angle between Diagonal and Breadth of Rectangle)))/(cos((pi/2)-Angle between Diagonal and Breadth of Rectangle))
  • Circumradius of Rectangle = 1/2*(sqrt(Area of Rectangle*cot(Acute Angle between Diagonals of Rectangle/2)))/(cos(Acute Angle between Diagonals of Rectangle/2))
  • Circumradius of Rectangle = 1/2*(sqrt(Area of Rectangle*cot((pi-Obtuse Angle between Diagonals of Rectangle)/2)))/(cos((pi-Obtuse Angle between Diagonals of Rectangle)/2))
  • Circumradius of Rectangle = 1/2*(Perimeter of Rectangle/2*1/(sqrt(1+sin(2*((pi/2)-Angle between Diagonal and Breadth of Rectangle)))))
  • Circumradius of Rectangle = 1/2*(Perimeter of Rectangle/2*1/(sqrt(1+sin(2*Angle between Diagonal and Length of Rectangle))))
  • Circumradius of Rectangle = 1/2*(Perimeter of Rectangle/2*1/(sqrt(1+sin(2*(Acute Angle between Diagonals of Rectangle/2)))))
  • Circumradius of Rectangle = 1/2*(Perimeter of Rectangle/2*1/(sqrt(1+sin(2*((pi-Obtuse Angle between Diagonals of Rectangle)/2)))))
  • Circumradius of Rectangle = 1/2*(Length of Rectangle*sec(Angle between Diagonal and Length of Rectangle))
  • Circumradius of Rectangle = 1/2*(Length of Rectangle*sec((pi/2)-Angle between Diagonal and Breadth of Rectangle))
  • Circumradius of Rectangle = 1/2*(Breadth of Rectangle*cosec((pi/2)-Angle between Diagonal and Breadth of Rectangle))
  • Circumradius of Rectangle = 1/2*(Breadth of Rectangle*cosec(Angle between Diagonal and Length of Rectangle))
  • Circumradius of Rectangle = 1/2*(Breadth of Rectangle*cosec(Acute Angle between Diagonals of Rectangle/2))
  • Circumradius of Rectangle = 1/2*(Breadth of Rectangle*cosec((pi-Obtuse Angle between Diagonals of Rectangle)/2))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!