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Circumradius of Square given Diameter of Incircle 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 = \frac{D i}{\sqrt{2}}

r_c - Circumradius of Square?D_i - Diameter of Incircle of Square?

Circumradius of Square given Diameter of Incircle Example

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

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

Here is how the Circumradius of Square given Diameter of Incircle 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 given Diameter of Incircle Solution

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

FIRST Step Consider the formula

r c = \frac{D i}{\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 given Diameter of Incircle 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

Diameter of Incircle of Square

The Diameter of Incircle of Square is the diameter of incircle of the Square or the circle which contained by the Square with all the edges of the Square touch the circle.

Symbol: D_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Incircle 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 Diameter of Incircle?

Circumradius of Square given Diameter of Incircle evaluator uses Circumradius of Square = Diameter of Incircle of Square/(sqrt(2)) to evaluate the Circumradius of Square, The Circumradius of Square given Diameter of Incircle 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 diameter of the incircle. Circumradius of Square is denoted by r_c symbol.

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

FAQs on Circumradius of Square given Diameter of Incircle

What is the formula to find Circumradius of Square given Diameter of Incircle?

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

How to calculate Circumradius of Square given Diameter of Incircle?

With Diameter of Incircle of Square (D_i) we can find Circumradius of Square given Diameter of Incircle using the formula - Circumradius of Square = Diameter of Incircle 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=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 Diameter of Incircle be negative?

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

Which unit is used to measure Circumradius of Square given Diameter of Incircle?

Circumradius of Square given Diameter of Incircle 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 Diameter of Incircle can be measured.

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