Circumradius of Rectangle given Perimeter and Breadth Calculator

✖Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.ⓘ Perimeter of Rectangle [P]			+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%

✖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 given Perimeter and Breadth [r_c]

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Circumradius of Rectangle given Perimeter and Breadth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Rectangle = sqrt(Perimeter of Rectangle^2-(4*Perimeter of Rectangle*Breadth of Rectangle)+(8*Breadth of Rectangle^2))/4
r_c = sqrt(P^2-(4*P*b)+(8*b^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.
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

Perimeter of Rectangle: 28 Meter --> 28 Meter No Conversion Required
Breadth of Rectangle: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt(P^2-(4*P*b)+(8*b^2))/4 --> sqrt(28^2-(4*28*6)+(8*6^2))/4

Evaluating ... ...

r_c = 5

STEP 3: Convert Result to Output's Unit

5 Meter --> No Conversion Required

FINAL ANSWER

5 Meter <-- Circumradius of Rectangle

(Calculation completed in 00.020 seconds)

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< Circumradius of Rectangle Calculators

Circumradius of Rectangle given Perimeter and Breadth

LaTeX 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

LaTeX 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

LaTeX Go Circumradius of Rectangle = sqrt(Length of Rectangle^2+Breadth of Rectangle^2)/2

Circumradius of Rectangle given Diagonal

LaTeX Go Circumradius of Rectangle = Diagonal of Rectangle/2

< Circumcircle of Rectangle Calculators

Circumradius of Rectangle given Perimeter and Breadth

LaTeX 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

LaTeX 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

LaTeX Go Diameter of Circumcircle of Rectangle = sqrt(Length of Rectangle^2+Breadth of Rectangle^2)

Diameter of Circumcircle of Rectangle given Circumradius

LaTeX Go Diameter of Circumcircle of Rectangle = 2*Circumradius of Rectangle

Circumradius of Rectangle given Perimeter and Breadth Formula

LaTeX Go

Circumradius of Rectangle = sqrt(Perimeter of Rectangle^2-(4*Perimeter of Rectangle*Breadth of Rectangle)+(8*Breadth of Rectangle^2))/4
r_c = sqrt(P^2-(4*P*b)+(8*b^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 Breadth?

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

How to calculate Circumradius of Rectangle given Perimeter and Breadth using this online calculator? To use this online calculator for Circumradius of Rectangle given Perimeter and Breadth, enter Perimeter of Rectangle (P) & Breadth of Rectangle (b) and hit the calculate button. Here is how the Circumradius of Rectangle given Perimeter and Breadth calculation can be explained with given input values -> 5 = sqrt(28^2-(4*28*6)+(8*6^2))/4.

FAQ

What is Circumradius of Rectangle given Perimeter and Breadth?

Circumradius of Rectangle given Perimeter and Breadth 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 breadth of the Rectangle and is represented as r_c = sqrt(P^2-(4*P*b)+(8*b^2))/4 or Circumradius of Rectangle = sqrt(Perimeter of Rectangle^2-(4*Perimeter of Rectangle*Breadth of Rectangle)+(8*Breadth of Rectangle^2))/4. Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle & 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 Circumradius of Rectangle given Perimeter and Breadth?

Circumradius of Rectangle given Perimeter and Breadth 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 breadth of the Rectangle is calculated using Circumradius of Rectangle = sqrt(Perimeter of Rectangle^2-(4*Perimeter of Rectangle*Breadth of Rectangle)+(8*Breadth of Rectangle^2))/4. To calculate Circumradius of Rectangle given Perimeter and Breadth, you need Perimeter of Rectangle (P) & Breadth of Rectangle (b). With our tool, you need to enter the respective value for Perimeter 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 Circumradius of Rectangle?

In this formula, Circumradius of Rectangle uses Perimeter of Rectangle & Breadth of Rectangle. We can use 3 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 = Diagonal of Rectangle/2

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