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Circumradius of Rectangle given Area and Perimeter Formula

GoCircumradius of Rectangle given Perimeter and Length Formula

GoCircumradius of Rectangle 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{1}{4} \cdot \sqrt{P^{2} - (8 \cdot A)}

r_c - Circumradius of Rectangle?P - Perimeter of Rectangle?A - Area of Rectangle?

Circumradius of Rectangle given Area and Perimeter Example

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

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

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

5 = \frac{1}{4} \cdot \sqrt{28^{2} - (8 \cdot 48)}

5m = \frac{1}{4} \cdot \sqrt{{28m}^{2} - (8 \cdot 48m²)}

5 = \frac{1}{4} \cdot \sqrt{28^{2} - (8 \cdot 48)}

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Circumradius of Rectangle given Area and Perimeter Solution

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

FIRST Step Consider the formula

r c = \frac{1}{4} \cdot \sqrt{P^{2} - (8 \cdot A)}

Next Step Substitute values of Variables

∴

r c = \frac{1}{4} \cdot \sqrt{{28m}^{2} - (8 \cdot 48m²)}

Next Step Prepare to Evaluate

∴

r c = \frac{1}{4} \cdot \sqrt{28^{2} - (8 \cdot 48)}

LAST Step Evaluate

∴

r c = 5m

Circumradius of Rectangle given Area and Perimeter 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

Area of Rectangle

Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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

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

Go Circumradius of Rectangle given Perimeter and Breadth

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

Go Circumradius of Rectangle given Diagonal

r c = \frac{d}{2}

How to Evaluate Circumradius of Rectangle given Area and Perimeter?

Circumradius of Rectangle given Area and Perimeter evaluator uses Circumradius of Rectangle = 1/4*sqrt(Perimeter of Rectangle^2-(8*Area of Rectangle)) to evaluate 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 evaluate Circumradius of Rectangle given Area and Perimeter using this online evaluator? To use this online evaluator for Circumradius of Rectangle given Area and Perimeter, enter Perimeter of Rectangle (P) & Area of Rectangle (A) and hit the calculate button.

FAQs on Circumradius of Rectangle given Area and Perimeter

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

The formula of Circumradius of Rectangle given Area and Perimeter is expressed as Circumradius of Rectangle = 1/4*sqrt(Perimeter of Rectangle^2-(8*Area of Rectangle)). Here is an example- 5 = 1/4*sqrt(28^2-(8*48)).

How to calculate Circumradius of Rectangle given Area and Perimeter?

With Perimeter of Rectangle (P) & Area of Rectangle (A) we can find Circumradius of Rectangle given Area and Perimeter using the formula - Circumradius of Rectangle = 1/4*sqrt(Perimeter of Rectangle^2-(8*Area of Rectangle)). 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=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

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

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

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

Circumradius of Rectangle given Area and Perimeter 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 Area and Perimeter can be measured.

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Circumradius of Rectangle given Area and Perimeter Formula

​GoCircumradius of Rectangle given Perimeter and Length Formula

​GoCircumradius of Rectangle Formula

Circumradius of Rectangle given Area and Perimeter Example

Circumradius of Rectangle given Area and Perimeter Solution

Circumradius of Rectangle given Area and Perimeter Formula Elements

Other Formulas to find Circumradius of Rectangle

How to Evaluate Circumradius of Rectangle given Area and Perimeter?

FAQs on Circumradius of Rectangle given Area and Perimeter

Variable Name

GoCircumradius of Rectangle given Perimeter and Length Formula

GoCircumradius of Rectangle Formula