Circumradius of Rectangle given Area and Breadth Calculator

✖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%
✖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 Breadth [r_c]

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Formula

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Circumradius of Rectangle given Area and Breadth

Formula

`"r"_{"c"} = 1/2*sqrt("b"^2+("A"/"b")^2)`

Example

`"5m"=1/2*sqrt(("6m")^2+("48m²"/"6m")^2)`

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Circumradius of Rectangle given Area and Breadth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Rectangle = 1/2*sqrt(Breadth of Rectangle^2+(Area of Rectangle/Breadth of Rectangle)^2)
r_c = 1/2*sqrt(b^2+(A/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

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.
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

Breadth of Rectangle: 6 Meter --> 6 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 = 1/2*sqrt(b^2+(A/b)^2) --> 1/2*sqrt(6^2+(48/6)^2)

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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Created by Bhavya Mutyala

Osmania University (OU), Hyderabad

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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

Circumradius of Rectangle given Area and Breadth Formula

Circumradius of Rectangle = 1/2*sqrt(Breadth of Rectangle^2+(Area of Rectangle/Breadth of Rectangle)^2)
r_c = 1/2*sqrt(b^2+(A/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 Circumradius of Rectangle given Area and Breadth?

Circumradius of Rectangle given Area and Breadth calculator uses Circumradius of Rectangle = 1/2*sqrt(Breadth of Rectangle^2+(Area of Rectangle/Breadth of Rectangle)^2) to calculate the Circumradius of Rectangle, The Circumradius of Rectangle given Area 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 area and breadth of the Rectangle. Circumradius of Rectangle is denoted by r_c symbol.

How to calculate Circumradius of Rectangle given Area and Breadth using this online calculator? To use this online calculator for Circumradius of Rectangle given Area and Breadth, enter Breadth of Rectangle (b) & Area of Rectangle (A) and hit the calculate button. Here is how the Circumradius of Rectangle given Area and Breadth calculation can be explained with given input values -> 5 = 1/2*sqrt(6^2+(48/6)^2).

FAQ

What is Circumradius of Rectangle given Area and Breadth?

The Circumradius of Rectangle given Area 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 area and breadth of the Rectangle and is represented as r_c = 1/2*sqrt(b^2+(A/b)^2) or Circumradius of Rectangle = 1/2*sqrt(Breadth of Rectangle^2+(Area of Rectangle/Breadth of Rectangle)^2). Breadth of Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides & 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 Breadth?

The Circumradius of Rectangle given Area 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 area and breadth of the Rectangle is calculated using Circumradius of Rectangle = 1/2*sqrt(Breadth of Rectangle^2+(Area of Rectangle/Breadth of Rectangle)^2). To calculate Circumradius of Rectangle given Area and Breadth, you need Breadth of Rectangle (b) & Area of Rectangle (A). With our tool, you need to enter the respective value for Breadth 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 Breadth of Rectangle & Area of Rectangle. We can use 23 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 = Diameter of Circumcircle 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(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))

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