Diagonal of Square given Inradius Calculator

✖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 [r_i]

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✖The Diagonal of Square is the length of the line joining any pair of opposite vertices of the Square.ⓘ Diagonal of Square given Inradius [d]

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Formula

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Diagonal of Square given Inradius

Formula

`"d" = 2*sqrt(2)*"r"_{"i"}`

Example

`"14.14214m"=2*sqrt(2)*"5m"`

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Diagonal of Square given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal of Square = 2*sqrt(2)*Inradius of Square
d = 2*sqrt(2)*r_i
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

Diagonal of Square - (Measured in Meter) - The Diagonal of Square is the length of the line joining any pair of opposite vertices of the Square.
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.

STEP 1: Convert Input(s) to Base Unit

Inradius of Square: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = 2*sqrt(2)*r_i --> 2*sqrt(2)*5

Evaluating ... ...

d = 14.142135623731

STEP 3: Convert Result to Output's Unit

14.142135623731 Meter --> No Conversion Required

FINAL ANSWER

14.142135623731 ≈ 14.14214 Meter <-- Diagonal of Square

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< 7 Diagonal of Square Calculators

Diagonal of Square given Diameter of Incircle

Go Diagonal of Square = sqrt(2)*Diameter of Incircle of Square

Diagonal of Square given Perimeter

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

Diagonal of Square

Go Diagonal of Square = sqrt(2)*Edge Length of Square

Diagonal of Square given Inradius

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

Diagonal of Square given Area

Go Diagonal of Square = sqrt(2*Area of Square)

Diagonal of Square given Diameter of Circumcircle

Go Diagonal of Square = Diameter of Circumcircle of Square/1

Diagonal of Square given Circumradius

Go Diagonal of Square = 2*Circumradius of Square

Diagonal of Square given Inradius Formula

Diagonal of Square = 2*sqrt(2)*Inradius of Square
d = 2*sqrt(2)*r_i

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 diagonal of square and how it is calculated ?

A square is inscribed in a circle or a polygon if its four vertices lie on the circumference of the circle or on the sides of the polygon. The line stretching from one corner of the square or rectangle to the opposite corner through the center of the figure is known as the diagonal. Any square that has two diagonals are equal in length to each other. The diagonal of the square is 2√2 times of the inradius.

How to Calculate Diagonal of Square given Inradius?

Diagonal of Square given Inradius calculator uses Diagonal of Square = 2*sqrt(2)*Inradius of Square to calculate the Diagonal of Square, The Diagonal of Square given Inradius formula is defined as the length of the line joining any pair of opposite vertices of the Square, and calculated using inradius of the Square. Diagonal of Square is denoted by d symbol.

How to calculate Diagonal of Square given Inradius using this online calculator? To use this online calculator for Diagonal of Square given Inradius, enter Inradius of Square (r_i) and hit the calculate button. Here is how the Diagonal of Square given Inradius calculation can be explained with given input values -> 14.14214 = 2*sqrt(2)*5.

FAQ

What is Diagonal of Square given Inradius?

The Diagonal of Square given Inradius formula is defined as the length of the line joining any pair of opposite vertices of the Square, and calculated using inradius of the Square and is represented as d = 2*sqrt(2)*r_i or Diagonal of Square = 2*sqrt(2)*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.

How to calculate Diagonal of Square given Inradius?

The Diagonal of Square given Inradius formula is defined as the length of the line joining any pair of opposite vertices of the Square, and calculated using inradius of the Square is calculated using Diagonal of Square = 2*sqrt(2)*Inradius of Square. To calculate Diagonal of Square given Inradius, you need Inradius of Square (r_i). With our tool, you need to enter the respective value for Inradius 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 Diagonal of Square?

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

Diagonal of Square = 2*Circumradius of Square
Diagonal of Square = Diameter of Circumcircle of Square/1
Diagonal of Square = sqrt(2)*Diameter of Incircle of Square
Diagonal of Square = sqrt(2*Area of Square)
Diagonal of Square = Perimeter of Square/(2*sqrt(2))
Diagonal of Square = sqrt(2)*Edge Length of Square

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