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Circumradius of Rectangle given Perimeter and Breadth Formula

GoCircumradius of Rectangle given Perimeter and Length Formula

GoCircumradius of Rectangle given Diameter of Circumcircle Formula

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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. Check FAQs

r c = \frac{\sqrt{P^{2} - (4 \cdot P \cdot b) + (8 \cdot b^{2})}}{4}

r_c - Circumradius of Rectangle?P - Perimeter of Rectangle?b - Breadth of Rectangle?

Circumradius of Rectangle given Perimeter and Breadth Example

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Here is how the Circumradius of Rectangle given Perimeter and Breadth equation looks like with Values.

Here is how the Circumradius of Rectangle given Perimeter and Breadth equation looks like with Units.

Here is how the Circumradius of Rectangle given Perimeter and Breadth equation looks like.

5 = \frac{\sqrt{28^{2} - (4 \cdot 28 \cdot 6) + (8 \cdot 6^{2})}}{4}

5m = \frac{\sqrt{{28m}^{2} - (4 \cdot 28m \cdot 6m) + (8 \cdot {6m}^{2})}}{4}

5 = \frac{\sqrt{28^{2} - (4 \cdot 28 \cdot 6) + (8 \cdot 6^{2})}}{4}

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Circumradius of Rectangle given Perimeter and Breadth Solution

Follow our step by step solution on how to calculate Circumradius of Rectangle given Perimeter and Breadth?

FIRST Step Consider the formula

r c = \frac{\sqrt{P^{2} - (4 \cdot P \cdot b) + (8 \cdot b^{2})}}{4}

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{{28m}^{2} - (4 \cdot 28m \cdot 6m) + (8 \cdot {6m}^{2})}}{4}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{28^{2} - (4 \cdot 28 \cdot 6) + (8 \cdot 6^{2})}}{4}

LAST Step Evaluate

∴

r c = 5m

Circumradius of Rectangle given Perimeter and Breadth Formula Elements

Variables

Functions

Circumradius of Rectangle

Circumradius of Rectangle is the radius of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Rectangle

Perimeter of Rectangle

Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Rectangle

Breadth of Rectangle

Breadth of Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Breadth of Rectangle

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.

Syntax: sqrt(Number)

Other Formulas to find Circumradius of Rectangle

Go Circumradius of Rectangle given Perimeter and Length

r c = \frac{\sqrt{P^{2} - (4 \cdot P \cdot l) + (8 \cdot l^{2})}}{4}

Go Circumradius of Rectangle given Diameter of Circumcircle

r c = \frac{D c}{2}

Go Circumradius of Rectangle given Diagonal

r c = \frac{d}{2}

Go Circumradius of Rectangle

r c = \frac{\sqrt{l^{2} + b^{2}}}{2}

Other formulas in Circumradius of Rectangle category

Go Diameter of Circumcircle of Rectangle

D c = \sqrt{l^{2} + b^{2}}

Go Diameter of Circumcircle of Rectangle given Circumradius

D c = 2 \cdot r c

How to Evaluate Circumradius of Rectangle given Perimeter and Breadth?

Circumradius of Rectangle given Perimeter and Breadth evaluator uses Circumradius of Rectangle = sqrt(Perimeter of Rectangle^2-(4*Perimeter of Rectangle*Breadth of Rectangle)+(8*Breadth of Rectangle^2))/4 to evaluate 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 evaluate Circumradius of Rectangle given Perimeter and Breadth using this online evaluator? To use this online evaluator for Circumradius of Rectangle given Perimeter and Breadth, enter Perimeter of Rectangle (P) & Breadth of Rectangle (b) and hit the calculate button.

FAQs on Circumradius of Rectangle given Perimeter and Breadth

What is the formula to find Circumradius of Rectangle given Perimeter and Breadth?

The formula of Circumradius of Rectangle given Perimeter and Breadth is expressed as Circumradius of Rectangle = sqrt(Perimeter of Rectangle^2-(4*Perimeter of Rectangle*Breadth of Rectangle)+(8*Breadth of Rectangle^2))/4. Here is an example- 5 = sqrt(28^2-(4*28*6)+(8*6^2))/4.

How to calculate Circumradius of Rectangle given Perimeter and Breadth?

With Perimeter of Rectangle (P) & Breadth of Rectangle (b) we can find Circumradius of Rectangle given Perimeter and Breadth using the formula - Circumradius of Rectangle = sqrt(Perimeter of Rectangle^2-(4*Perimeter of Rectangle*Breadth of Rectangle)+(8*Breadth of Rectangle^2))/4. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumradius of Rectangle?

Here are the different ways to Calculate Circumradius of Rectangle-

Circumradius of Rectangle=sqrt(Perimeter of Rectangle^2-(4*Perimeter of Rectangle*Length of Rectangle)+(8*Length of Rectangle^2))/4
Circumradius of Rectangle=Diameter of Circumcircle of Rectangle/2
Circumradius of Rectangle=Diagonal of Rectangle/2

Can the Circumradius of Rectangle given Perimeter and Breadth be negative?

No, the Circumradius of Rectangle given Perimeter and Breadth, measured in Length cannot be negative.

Which unit is used to measure Circumradius of Rectangle given Perimeter and Breadth?

Circumradius of Rectangle given Perimeter and Breadth is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Circumradius of Rectangle given Perimeter and Breadth can be measured.

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Circumradius of Rectangle given Perimeter and Breadth Formula

​GoCircumradius of Rectangle given Perimeter and Length Formula

​GoCircumradius of Rectangle given Diameter of Circumcircle Formula

Circumradius of Rectangle given Perimeter and Breadth Example

Circumradius of Rectangle given Perimeter and Breadth Solution

Circumradius of Rectangle given Perimeter and Breadth Formula Elements

Other Formulas to find Circumradius of Rectangle

Other formulas in Circumradius of Rectangle category

How to Evaluate Circumradius of Rectangle given Perimeter and Breadth?

FAQs on Circumradius of Rectangle given Perimeter and Breadth

Variable Name

GoCircumradius of Rectangle given Perimeter and Length Formula

GoCircumradius of Rectangle given Diameter of Circumcircle Formula