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Circumradius of Square given Perimeter Formula

GoCircumradius of Square Formula

GoCircumradius of Square given Area Formula

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The Circumradius of Square is the radius of the circumcircle of the Square or the circle which contains the square with all the vertices of the Square lying on the circle. Check FAQs

r c = \frac{P}{4 \cdot \sqrt{2}}

r_c - Circumradius of Square?P - Perimeter of Square?

Circumradius of Square given Perimeter Example

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Here is how the Circumradius of Square given Perimeter equation looks like with Values.

Here is how the Circumradius of Square given Perimeter equation looks like with Units.

Here is how the Circumradius of Square given Perimeter equation looks like.

7.0711 = \frac{40}{4 \cdot \sqrt{2}}

7.0711m = \frac{40m}{4 \cdot \sqrt{2}}

7.0711 = \frac{40}{4 \cdot \sqrt{2}}

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Circumradius of Square given Perimeter Solution

Follow our step by step solution on how to calculate Circumradius of Square given Perimeter?

FIRST Step Consider the formula

r c = \frac{P}{4 \cdot \sqrt{2}}

Next Step Substitute values of Variables

∴

r c = \frac{40m}{4 \cdot \sqrt{2}}

Next Step Prepare to Evaluate

∴

r c = \frac{40}{4 \cdot \sqrt{2}}

Next Step Evaluate

∴

r c = 7.07106781186547m

LAST Step Rounding Answer

∴

r c = 7.0711m

Circumradius of Square given Perimeter Formula Elements

Variables

Functions

Circumradius of Square

The Circumradius of Square is the radius of the circumcircle of the Square or the circle which contains the square with all the vertices of the Square lying on the circle.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Square

Perimeter of Square

The Perimeter of Square is the total length of all the boundary lines of the Square.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Square

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 Square

Go Circumradius of Square

r c = \frac{l e}{\sqrt{2}}

Go Circumradius of Square given Area

r c = \sqrt{\frac{A}{2}}

Go Circumradius of Square given Diagonal

r c = \frac{d}{2}

Go Circumradius of Square given Diameter of Circumcircle

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

How to Evaluate Circumradius of Square given Perimeter?

Circumradius of Square given Perimeter evaluator uses Circumradius of Square = Perimeter of Square/(4*sqrt(2)) to evaluate the Circumradius of Square, The Circumradius of Square given Perimeter formula is defined as the radius of the circumcircle of the Square or the circle which contains the square with all the vertices of the Square lying on the circle, and calculated using the perimeter. Circumradius of Square is denoted by r_c symbol.

How to evaluate Circumradius of Square given Perimeter using this online evaluator? To use this online evaluator for Circumradius of Square given Perimeter, enter Perimeter of Square (P) and hit the calculate button.

FAQs on Circumradius of Square given Perimeter

What is the formula to find Circumradius of Square given Perimeter?

The formula of Circumradius of Square given Perimeter is expressed as Circumradius of Square = Perimeter of Square/(4*sqrt(2)). Here is an example- 7.071068 = 40/(4*sqrt(2)).

How to calculate Circumradius of Square given Perimeter?

With Perimeter of Square (P) we can find Circumradius of Square given Perimeter using the formula - Circumradius of Square = Perimeter of Square/(4*sqrt(2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumradius of Square?

Here are the different ways to Calculate Circumradius of Square-

Circumradius of Square=Edge Length of Square/(sqrt(2))
Circumradius of Square=sqrt(Area of Square/2)
Circumradius of Square=Diagonal of Square/2

Can the Circumradius of Square given Perimeter be negative?

No, the Circumradius of Square given Perimeter, measured in Length cannot be negative.

Which unit is used to measure Circumradius of Square given Perimeter?

Circumradius of Square given 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 Square given Perimeter can be measured.

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