Diameter of Circumcircle 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 Diameter of Circumcircle of Square is the diameter of circumcircle of the Square or the circle which contains the square with all the vertices of the Square lying on the circle.ⓘ Diameter of Circumcircle of Square given Inradius [D_c]

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Diameter of Circumcircle of Square given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Circumcircle of Square = 2*sqrt(2)*Inradius of Square
D_c = 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

Diameter of Circumcircle of Square - (Measured in Meter) - The Diameter of Circumcircle of Square is the diameter of circumcircle of the Square or the circle which contains the square with all the vertices of the Square lying on the circle.
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_c = 2*sqrt(2)*r_i --> 2*sqrt(2)*5

Evaluating ... ...

D_c = 14.142135623731

STEP 3: Convert Result to Output's Unit

14.142135623731 Meter --> No Conversion Required

FINAL ANSWER

14.142135623731 ≈ 14.14214 Meter <-- Diameter of Circumcircle of Square

(Calculation completed in 00.020 seconds)

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LaTeX Go Diameter of Circumcircle of Square = 2*Circumradius of Square

Diameter of Circumcircle of Square given Diagonal

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Diameter of Circumcircle of Square given Inradius Formula

LaTeX Go

Diameter of Circumcircle of Square = 2*sqrt(2)*Inradius of Square
D_c = 2*sqrt(2)*r_i

What is a Square?

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

What is a Circumcircle of square and how diameter of circumcircle is calculated when inradius is given?

In geometry, the circumscribed circle or circumcircle of a square is a circle that passes through all the vertices of the square. The center of this circle is called the circumcenter and the length of the line joining the circumcenter and the opposite ends on the circumference of circle is called the diameter of Circumcircle. It is calculated using, D_c=2√2R, where D_c is the diameter of the Circumcircle and R is the inradius.

How to Calculate Diameter of Circumcircle of Square given Inradius?

Diameter of Circumcircle of Square given Inradius calculator uses Diameter of Circumcircle of Square = 2*sqrt(2)*Inradius of Square to calculate the Diameter of Circumcircle of Square, The Diameter of Circumcircle of Square given Inradius formula is defined as the length of the diameter of the circle which passes through all the vertices of the square which is circumscribed inside the circle, calculated using the inradius of the Square. Diameter of Circumcircle of Square is denoted by D_c symbol.

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

FAQ

What is Diameter of Circumcircle of Square given Inradius?

The Diameter of Circumcircle of Square given Inradius formula is defined as the length of the diameter of the circle which passes through all the vertices of the square which is circumscribed inside the circle, calculated using the inradius of the Square and is represented as D_c = 2*sqrt(2)*r_i or Diameter of Circumcircle 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 Diameter of Circumcircle of Square given Inradius?

The Diameter of Circumcircle of Square given Inradius formula is defined as the length of the diameter of the circle which passes through all the vertices of the square which is circumscribed inside the circle, calculated using the inradius of the Square is calculated using Diameter of Circumcircle of Square = 2*sqrt(2)*Inradius of Square. To calculate Diameter of Circumcircle 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 Diameter of Circumcircle of Square?

In this formula, Diameter of Circumcircle of Square uses Inradius of Square. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diameter of Circumcircle of Square = sqrt(2)*Edge Length of Square
Diameter of Circumcircle of Square = sqrt(2*Area of Square)
Diameter of Circumcircle of Square = 2*Circumradius of Square

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