Circumradius of Rectangle given Diameter of Circumcircle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumradius of Rectangle = Diameter of Circumcircle of Rectangle/2
rc = Dc/2
This formula uses 2 Variables
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.
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.
STEP 1: Convert Input(s) to Base Unit
Diameter of Circumcircle of Rectangle: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = Dc/2 --> 10/2
Evaluating ... ...
rc = 5
STEP 3: Convert Result to Output's Unit
5 Meter --> No Conversion Required
FINAL ANSWER
5 Meter <-- Circumradius of Rectangle
(Calculation completed in 00.004 seconds)

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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

7 Circumcircle of Rectangle Calculators

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
Diameter of Circumcircle of Rectangle
Go Diameter of Circumcircle of Rectangle = sqrt(Length of Rectangle^2+Breadth of Rectangle^2)
Circumradius of Rectangle
Go Circumradius of Rectangle = sqrt(Length of Rectangle^2+Breadth of Rectangle^2)/2
Diameter of Circumcircle of Rectangle given Circumradius
Go Diameter of Circumcircle of Rectangle = 2*Circumradius of Rectangle
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 Diameter of Circumcircle Formula

Circumradius of Rectangle = Diameter of Circumcircle of Rectangle/2
rc = Dc/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 Diameter of Circumcircle?

Circumradius of Rectangle given Diameter of Circumcircle calculator uses Circumradius of Rectangle = Diameter of Circumcircle of Rectangle/2 to calculate the Circumradius of Rectangle, Circumradius of Rectangle given Diameter of Circumcircle 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 diameter of circumcircle of the Rectangle. Circumradius of Rectangle is denoted by rc symbol.

How to calculate Circumradius of Rectangle given Diameter of Circumcircle using this online calculator? To use this online calculator for Circumradius of Rectangle given Diameter of Circumcircle, enter Diameter of Circumcircle of Rectangle (Dc) and hit the calculate button. Here is how the Circumradius of Rectangle given Diameter of Circumcircle calculation can be explained with given input values -> 5 = 10/2.

FAQ

What is Circumradius of Rectangle given Diameter of Circumcircle?
Circumradius of Rectangle given Diameter of Circumcircle 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 diameter of circumcircle of the Rectangle and is represented as rc = Dc/2 or Circumradius of Rectangle = Diameter of Circumcircle 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.
How to calculate Circumradius of Rectangle given Diameter of Circumcircle?
Circumradius of Rectangle given Diameter of Circumcircle 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 diameter of circumcircle of the Rectangle is calculated using Circumradius of Rectangle = Diameter of Circumcircle of Rectangle/2. To calculate Circumradius of Rectangle given Diameter of Circumcircle, you need Diameter of Circumcircle of Rectangle (Dc). With our tool, you need to enter the respective value for Diameter of Circumcircle 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 Diameter of Circumcircle of Rectangle. We can use 27 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 = Length of Rectangle/(2*sin(Obtuse Angle between Diagonals 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))
  • 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(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 = sqrt(Length of Rectangle^2+Breadth of Rectangle^2)/2
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