Circumradius of Rectangle given Perimeter and Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumradius of Rectangle = sqrt(Perimeter of Rectangle^2-(4*Perimeter of Rectangle*Length of Rectangle)+(8*Length of Rectangle^2))/4
rc = sqrt(P^2-(4*P*l)+(8*l^2))/4
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
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.
Perimeter of Rectangle - (Measured in Meter) - Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.
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.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Rectangle: 28 Meter --> 28 Meter No Conversion Required
Length of Rectangle: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = sqrt(P^2-(4*P*l)+(8*l^2))/4 --> sqrt(28^2-(4*28*8)+(8*8^2))/4
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 00.006 seconds)

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Birsa Institute of Technology (BIT), Sindri
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Circumradius 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
Circumradius of Rectangle
​ Go Circumradius of Rectangle = sqrt(Length of Rectangle^2+Breadth of Rectangle^2)/2
Circumradius of Rectangle given Diagonal
​ Go Circumradius of Rectangle = Diagonal of Rectangle/2

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)
Diameter of Circumcircle of Rectangle given Circumradius
​ Go Diameter of Circumcircle of Rectangle = 2*Circumradius of Rectangle

Circumradius of Rectangle given Perimeter and Length Formula

Circumradius of Rectangle = sqrt(Perimeter of Rectangle^2-(4*Perimeter of Rectangle*Length of Rectangle)+(8*Length of Rectangle^2))/4
rc = sqrt(P^2-(4*P*l)+(8*l^2))/4

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 Perimeter and Length?

Circumradius of Rectangle given Perimeter and Length calculator uses Circumradius of Rectangle = sqrt(Perimeter of Rectangle^2-(4*Perimeter of Rectangle*Length of Rectangle)+(8*Length of Rectangle^2))/4 to calculate the Circumradius of Rectangle, Circumradius of Rectangle given Perimeter and Length 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 perimeter and length of the Rectangle. Circumradius of Rectangle is denoted by rc symbol.

How to calculate Circumradius of Rectangle given Perimeter and Length using this online calculator? To use this online calculator for Circumradius of Rectangle given Perimeter and Length, enter Perimeter of Rectangle (P) & Length of Rectangle (l) and hit the calculate button. Here is how the Circumradius of Rectangle given Perimeter and Length calculation can be explained with given input values -> 5 = sqrt(28^2-(4*28*8)+(8*8^2))/4.

FAQ

What is Circumradius of Rectangle given Perimeter and Length?
Circumradius of Rectangle given Perimeter and Length 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 perimeter and length of the Rectangle and is represented as rc = sqrt(P^2-(4*P*l)+(8*l^2))/4 or Circumradius of Rectangle = sqrt(Perimeter of Rectangle^2-(4*Perimeter of Rectangle*Length of Rectangle)+(8*Length of Rectangle^2))/4. Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle & Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.
How to calculate Circumradius of Rectangle given Perimeter and Length?
Circumradius of Rectangle given Perimeter and Length 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 perimeter and length of the Rectangle is calculated using Circumradius of Rectangle = sqrt(Perimeter of Rectangle^2-(4*Perimeter of Rectangle*Length of Rectangle)+(8*Length of Rectangle^2))/4. To calculate Circumradius of Rectangle given Perimeter and Length, you need Perimeter of Rectangle (P) & Length of Rectangle (l). With our tool, you need to enter the respective value for Perimeter of Rectangle & Length 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 Perimeter of Rectangle & Length of Rectangle. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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
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