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Circumradius of Square given Inradius Formula

GoCircumradius of Square Formula

GoCircumradius of Square given Perimeter 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 = \sqrt{2} \cdot r i

r_c - Circumradius of Square?r_i - Inradius of Square?

Circumradius of Square given Inradius Example

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

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

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

7.0711 = \sqrt{2} \cdot 5

7.0711m = \sqrt{2} \cdot 5m

7.0711 = \sqrt{2} \cdot 5

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Circumradius of Square given Inradius Solution

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

FIRST Step Consider the formula

r c = \sqrt{2} \cdot r i

Next Step Substitute values of Variables

∴

r c = \sqrt{2} \cdot 5m

Next Step Prepare to Evaluate

∴

r c = \sqrt{2} \cdot 5

Next Step Evaluate

∴

r c = 7.07106781186548m

LAST Step Rounding Answer

∴

r c = 7.0711m

Circumradius of Square given Inradius 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

Inradius of Square

The Inradius of Square is the radius of incircle of the Square or the circle which contained by the Square with all the edges of the Square touch the circle.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius 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 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}

How to Evaluate Circumradius of Square given Inradius?

Circumradius of Square given Inradius evaluator uses Circumradius of Square = sqrt(2)*Inradius of Square to evaluate the Circumradius of Square, The Circumradius of Square given Inradius 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 inradius. Circumradius of Square is denoted by r_c symbol.

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

FAQs on Circumradius of Square given Inradius

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

The formula of Circumradius of Square given Inradius is expressed as Circumradius of Square = sqrt(2)*Inradius of Square. Here is an example- 7.071068 = sqrt(2)*5.

How to calculate Circumradius of Square given Inradius?

With Inradius of Square (r_i) we can find Circumradius of Square given Inradius using the formula - Circumradius of Square = sqrt(2)*Inradius of Square. This formula also uses Square Root Function 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=Perimeter of Square/(4*sqrt(2))
Circumradius of Square=sqrt(Area of Square/2)

Can the Circumradius of Square given Inradius be negative?

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

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

Circumradius of Square given Inradius 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 Inradius can be measured.

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