Inradius of Square given Circumradius Calculator

✖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.ⓘ Circumradius of Square [r_c]

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✖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.ⓘ Inradius of Square given Circumradius [r_i]

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Formula

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Inradius of Square given Circumradius

Formula

`"r"_{"i"} = "r"_{"c"}/(sqrt(2))`

Example

`"4.949747m"="7m"/(sqrt(2))`

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Inradius of Square given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Square = Circumradius of Square/(sqrt(2))
r_i = r_c/(sqrt(2))
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Inradius of Square - (Measured in Meter) - 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.
Circumradius of Square - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Square: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = r_c/(sqrt(2)) --> 7/(sqrt(2))

Evaluating ... ...

r_i = 4.94974746830583

STEP 3: Convert Result to Output's Unit

4.94974746830583 Meter --> No Conversion Required

FINAL ANSWER

4.94974746830583 ≈ 4.949747 Meter <-- Inradius of Square

(Calculation completed in 00.004 seconds)

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< 7 Inradius of Square Calculators

Inradius of Square given Diameter of Circumcircle

Go Inradius of Square = Diameter of Circumcircle of Square/(2*sqrt(2))

Inradius of Square given Circumradius

Go Inradius of Square = Circumradius of Square/(sqrt(2))

Inradius of Square given Diagonal

Go Inradius of Square = Diagonal of Square/(2*sqrt(2))

Inradius of Square given Area

Go Inradius of Square = (sqrt(Area of Square))/2

Inradius of Square given Diameter of Incircle

Go Inradius of Square = Diameter of Incircle of Square/2

Inradius of Square

Go Inradius of Square = Edge Length of Square/2

Inradius of Square given Perimeter

Go Inradius of Square = Perimeter of Square/8

Inradius of Square given Circumradius Formula

Inradius of Square = Circumradius of Square/(sqrt(2))
r_i = r_c/(sqrt(2))

What is a Square?

A Square is a quadrilateral with all the sides are equal and all the angles are equal. To be precise, all the angles will be 90^°. In other words, a four sided regular polygon is called Square. This is a fundamental shape in geometry.

What is inradius and how it is calculated when circumradius is given ?

An inscribed circle is one that is enclosed by and "fits snugly" inside a square. Its radius is known as inradius and the circle is known as incircle. To calculate it use the formula
r = R / √2
where r is the inradius and R is the circumradius.

How to Calculate Inradius of Square given Circumradius?

Inradius of Square given Circumradius calculator uses Inradius of Square = Circumradius of Square/(sqrt(2)) to calculate the Inradius of Square, The Inradius of Square given Circumradius formula is defined as the radius of incircle of the Square or the circle contained by the Square with all the edges of the Square touching the circle, and calculated using circumradius. Inradius of Square is denoted by r_i symbol.

How to calculate Inradius of Square given Circumradius using this online calculator? To use this online calculator for Inradius of Square given Circumradius, enter Circumradius of Square (r_c) and hit the calculate button. Here is how the Inradius of Square given Circumradius calculation can be explained with given input values -> 4.949747 = 7/(sqrt(2)).

FAQ

What is Inradius of Square given Circumradius?

The Inradius of Square given Circumradius formula is defined as the radius of incircle of the Square or the circle contained by the Square with all the edges of the Square touching the circle, and calculated using circumradius and is represented as r_i = r_c/(sqrt(2)) or Inradius of Square = Circumradius of Square/(sqrt(2)). 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.

How to calculate Inradius of Square given Circumradius?

The Inradius of Square given Circumradius formula is defined as the radius of incircle of the Square or the circle contained by the Square with all the edges of the Square touching the circle, and calculated using circumradius is calculated using Inradius of Square = Circumradius of Square/(sqrt(2)). To calculate Inradius of Square given Circumradius, you need Circumradius of Square (r_c). With our tool, you need to enter the respective value for Circumradius of Square and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Inradius of Square?

In this formula, Inradius of Square uses Circumradius of Square. We can use 6 other way(s) to calculate the same, which is/are as follows -

Inradius of Square = Edge Length of Square/2
Inradius of Square = Diagonal of Square/(2*sqrt(2))
Inradius of Square = Perimeter of Square/8
Inradius of Square = (sqrt(Area of Square))/2
Inradius of Square = Diameter of Circumcircle of Square/(2*sqrt(2))
Inradius of Square = Diameter of Incircle of Square/2

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