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Length of Rectangle given Circumradius and Breadth Calculator

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✖Circumradius of Rectangle is the radius of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle.ⓘ Circumradius of Rectangle [rc]
+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 [b]
+10%
-10%
✖Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.ⓘ Length of Rectangle given Circumradius and Breadth [l]
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Length of Rectangle given Circumradius and Breadth

Formula
`"l" = sqrt((2*"r"_{"c"})^2-"b"^2)`

Example
`"8m"=sqrt((2*"5m")^2-("6m")^2)`

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Length of Rectangle given Circumradius and Breadth Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Rectangle = sqrt((2*Circumradius of Rectangle)^2-Breadth of Rectangle^2)
l = sqrt((2*rc)^2-b^2)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Circumradius of Rectangle: 5 Meter --> 5 Meter No Conversion Required
Breadth of Rectangle: 6 Meter --> 6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = sqrt((2*rc)^2-b^2) --> sqrt((2*5)^2-6^2)
Evaluating ... ...
l = 8
STEP 3: Convert Result to Output's Unit
8 Meter --> No Conversion Required
FINAL ANSWER
8 Meter <-- Length of Rectangle
(Calculation completed in 00.004 seconds)
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Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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25 Length of Rectangle Calculators

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

Length of Rectangle given Circumradius and Breadth Formula

Length of Rectangle = sqrt((2*Circumradius of Rectangle)^2-Breadth of Rectangle^2)
l = sqrt((2*rc)^2-b^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 Length of Rectangle given Circumradius and Breadth?

Length of Rectangle given Circumradius and Breadth calculator uses Length of Rectangle = sqrt((2*Circumradius of Rectangle)^2-Breadth of Rectangle^2) to calculate the Length of Rectangle, Length of Rectangle given Circumradius and Breadth is defined as any one of the pair of parallel sides which are longer than the remaining pair of parallel sides and calculated using circumradius and breadth of the Rectangle. Length of Rectangle is denoted by l symbol.

How to calculate Length of Rectangle given Circumradius and Breadth using this online calculator? To use this online calculator for Length of Rectangle given Circumradius and Breadth, enter Circumradius of Rectangle (rc) & Breadth of Rectangle (b) and hit the calculate button. Here is how the Length of Rectangle given Circumradius and Breadth calculation can be explained with given input values -> 8 = sqrt((2*5)^2-6^2).

FAQ

What is Length of Rectangle given Circumradius and Breadth?
Length of Rectangle given Circumradius and Breadth is defined as any one of the pair of parallel sides which are longer than the remaining pair of parallel sides and calculated using circumradius and breadth of the Rectangle and is represented as l = sqrt((2*rc)^2-b^2) or Length of Rectangle = sqrt((2*Circumradius of Rectangle)^2-Breadth of Rectangle^2). Circumradius of Rectangle is the radius of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle & Breadth of Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides.
How to calculate Length of Rectangle given Circumradius and Breadth?
Length of Rectangle given Circumradius and Breadth is defined as any one of the pair of parallel sides which are longer than the remaining pair of parallel sides and calculated using circumradius and breadth of the Rectangle is calculated using Length of Rectangle = sqrt((2*Circumradius of Rectangle)^2-Breadth of Rectangle^2). To calculate Length of Rectangle given Circumradius and Breadth, you need Circumradius of Rectangle (rc) & Breadth of Rectangle (b). With our tool, you need to enter the respective value for Circumradius of Rectangle & Breadth 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 Length of Rectangle?
In this formula, Length of Rectangle uses Circumradius of Rectangle & Breadth of Rectangle. We can use 32 other way(s) to calculate the same, which is/are as follows -
  • Length of Rectangle = Area of Rectangle/Breadth of Rectangle
  • Length of Rectangle = (Perimeter of Rectangle-(2*Breadth of Rectangle))/2
  • Length of Rectangle = sqrt(Diagonal of Rectangle^2-Breadth of Rectangle^2)
  • Length of Rectangle = Diagonal of Rectangle*sin(Obtuse Angle between Diagonals of Rectangle/2)
  • Length of Rectangle = Diagonal of Rectangle*sin(Angle between Diagonal and Breadth of Rectangle)
  • Length of Rectangle = Diagonal of Rectangle*cos(Acute Angle between Diagonals of Rectangle/2)
  • Length of Rectangle = sqrt((Diagonal of Rectangle^2+sqrt(Diagonal of Rectangle^4-(4*Area of Rectangle^2)))/2)
  • Length of Rectangle = (Perimeter of Rectangle/2+sqrt(((Perimeter of Rectangle^2)/4)-(4*Area of Rectangle)))/2
  • Length of Rectangle = sqrt((2*Circumradius of Rectangle^2)+sqrt((4*Circumradius of Rectangle^4)-Area of Rectangle^2))
  • Length of Rectangle = sqrt((Diameter of Circumcircle of Rectangle^2+sqrt(Diameter of Circumcircle of Rectangle^4-(4*Area of Rectangle^2)))/2)
  • Length of Rectangle = sqrt(Area of Rectangle/tan(Angle between Diagonal and Length of Rectangle))
  • Length of Rectangle = sqrt(tan(Angle between Diagonal and Breadth of Rectangle)*Area of Rectangle)
  • Length of Rectangle = sqrt(Area of Rectangle/tan(Acute Angle between Diagonals of Rectangle/2))
  • Length of Rectangle = sqrt(Area of Rectangle*tan(Obtuse Angle between Diagonals of Rectangle/2))
  • Length of Rectangle = 1/4*(Perimeter of Rectangle+sqrt((8*Diagonal of Rectangle^2)-Perimeter of Rectangle^2))
  • Length of Rectangle = 1/4*(Perimeter of Rectangle+sqrt(8*(2*Circumradius of Rectangle)^2-Perimeter of Rectangle^2))
  • Length of Rectangle = 1/4*(Perimeter of Rectangle+sqrt((8*Diameter of Circumcircle of Rectangle^2)-Perimeter of Rectangle^2))
  • Length of Rectangle = Perimeter of Rectangle/(2*(1+tan(Angle between Diagonal and Length of Rectangle)))
  • Length of Rectangle = Perimeter of Rectangle/2*((tan(Angle between Diagonal and Breadth of Rectangle))/(1+tan(Angle between Diagonal and Breadth of Rectangle)))
  • Length of Rectangle = Perimeter of Rectangle/(2*(1+tan(Acute Angle between Diagonals of Rectangle/2)))
  • Length of Rectangle = Perimeter of Rectangle/2*((tan(Obtuse Angle between Diagonals of Rectangle/2))/(1+tan(Obtuse Angle between Diagonals of Rectangle/2)))
  • Length of Rectangle = Diagonal of Rectangle*cos(Angle between Diagonal and Length of Rectangle)
  • Length of Rectangle = 2*Circumradius of Rectangle*cos(Angle between Diagonal and Length of Rectangle)
  • Length of Rectangle = 2*Circumradius of Rectangle*sin(Angle between Diagonal and Breadth of Rectangle)
  • Length of Rectangle = 2*Circumradius of Rectangle*cos(Acute Angle between Diagonals of Rectangle/2)
  • Length of Rectangle = 2*Circumradius of Rectangle*sin(Obtuse Angle between Diagonals of Rectangle/2)
  • Length of Rectangle = Diameter of Circumcircle of Rectangle*cos(Angle between Diagonal and Length of Rectangle)
  • Length of Rectangle = Diameter of Circumcircle of Rectangle*sin(Angle between Diagonal and Breadth of Rectangle)
  • Length of Rectangle = Diameter of Circumcircle of Rectangle*cos(Acute Angle between Diagonals of Rectangle/2)
  • Length of Rectangle = Diameter of Circumcircle of Rectangle*sin(Obtuse Angle between Diagonals of Rectangle/2)
  • Length of Rectangle = Breadth of Rectangle/tan(Angle between Diagonal and Length of Rectangle)
  • Length of Rectangle = Breadth of Rectangle*tan(Angle between Diagonal and Breadth of Rectangle)
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