Circumradius of Rectangle given Area and Perimeter Calculator

✖Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.ⓘ Perimeter of Rectangle [P]			+10% -10%
✖Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.ⓘ Area of Rectangle [A]			+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 Area and Perimeter [r_c]

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Circumradius of Rectangle given Area and Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Rectangle = 1/4*sqrt(Perimeter of Rectangle^2-(8*Area of Rectangle))
r_c = 1/4*sqrt(P^2-(8*A))
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.
Area of Rectangle - (Measured in Square Meter) - Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Rectangle: 28 Meter --> 28 Meter No Conversion Required
Area of Rectangle: 48 Square Meter --> 48 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = 1/4*sqrt(P^2-(8*A)) --> 1/4*sqrt(28^2-(8*48))

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 00.004 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

Circumradius of Rectangle given Area and Perimeter Formula

LaTeX Go

Circumradius of Rectangle = 1/4*sqrt(Perimeter of Rectangle^2-(8*Area of Rectangle))
r_c = 1/4*sqrt(P^2-(8*A))

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 Area and Perimeter?

Circumradius of Rectangle given Area and Perimeter calculator uses Circumradius of Rectangle = 1/4*sqrt(Perimeter of Rectangle^2-(8*Area of Rectangle)) to calculate the Circumradius of Rectangle, The Circumradius of Rectangle given Area and Perimeter 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 area and perimeter of the Rectangle. Circumradius of Rectangle is denoted by r_c symbol.

How to calculate Circumradius of Rectangle given Area and Perimeter using this online calculator? To use this online calculator for Circumradius of Rectangle given Area and Perimeter, enter Perimeter of Rectangle (P) & Area of Rectangle (A) and hit the calculate button. Here is how the Circumradius of Rectangle given Area and Perimeter calculation can be explained with given input values -> 5 = 1/4*sqrt(28^2-(8*48)).

FAQ

What is Circumradius of Rectangle given Area and Perimeter?

The Circumradius of Rectangle given Area and Perimeter 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 area and perimeter of the Rectangle and is represented as r_c = 1/4*sqrt(P^2-(8*A)) or Circumradius of Rectangle = 1/4*sqrt(Perimeter of Rectangle^2-(8*Area of Rectangle)). Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle & Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.

How to calculate Circumradius of Rectangle given Area and Perimeter?

The Circumradius of Rectangle given Area and Perimeter 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 area and perimeter of the Rectangle is calculated using Circumradius of Rectangle = 1/4*sqrt(Perimeter of Rectangle^2-(8*Area of Rectangle)). To calculate Circumradius of Rectangle given Area and Perimeter, you need Perimeter of Rectangle (P) & Area of Rectangle (A). With our tool, you need to enter the respective value for Perimeter of Rectangle & Area 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 & Area 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 = sqrt(Perimeter of Rectangle^2-(4*Perimeter of Rectangle*Breadth of Rectangle)+(8*Breadth of Rectangle^2))/4

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