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Circumradius of Square Formula

GoCircumradius of Square given Perimeter 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{l e}{\sqrt{2}}

r_c - Circumradius of Square?l_e - Edge Length of Square?

Circumradius of Square Example

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

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

Here is how the Circumradius of Square equation looks like.

7.0711 = \frac{10}{\sqrt{2}}

7.0711m = \frac{10m}{\sqrt{2}}

7.0711 = \frac{10}{\sqrt{2}}

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Circumradius of Square Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{10m}{\sqrt{2}}

Next Step Prepare to Evaluate

∴

r c = \frac{10}{\sqrt{2}}

Next Step Evaluate

∴

r c = 7.07106781186547m

LAST Step Rounding Answer

∴

r c = 7.0711m

Circumradius of Square 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

Edge Length of Square

The Edge Length of Square is the length of any of the four edges of the Square.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 given Perimeter

r c = \frac{P}{4 \cdot \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?

Circumradius of Square evaluator uses Circumradius of Square = Edge Length of Square/(sqrt(2)) to evaluate the Circumradius of Square, The Circumradius of Square 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 lies on the circle. Circumradius of Square is denoted by r_c symbol.

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

FAQs on Circumradius of Square

What is the formula to find Circumradius of Square?

The formula of Circumradius of Square is expressed as Circumradius of Square = Edge Length of Square/(sqrt(2)). Here is an example- 7.071068 = 10/(sqrt(2)).

How to calculate Circumradius of Square?

With Edge Length of Square (l_e) we can find Circumradius of Square using the formula - Circumradius of Square = Edge Length of Square/(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=Perimeter of Square/(4*sqrt(2))
Circumradius of Square=sqrt(Area of Square/2)
Circumradius of Square=Diagonal of Square/2

Can the Circumradius of Square be negative?

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

Which unit is used to measure Circumradius of Square?

Circumradius of Square 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 can be measured.

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