Diameter of Circumcircle of Square Calculator

✖The Edge Length of Square is the length of any of the four edges of the Square.ⓘ Edge Length of Square [l_e]

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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 [D_c]

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Diameter of Circumcircle of Square Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Circumcircle of Square = sqrt(2)*Edge Length of Square
D_c = sqrt(2)*l_e
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.
Edge Length of Square - (Measured in Meter) - The Edge Length of Square is the length of any of the four edges of the Square.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Square: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_c = sqrt(2)*l_e --> sqrt(2)*10

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 00.004 seconds)

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Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

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< Diameter of Circumcircle of Square Calculators

Diameter of Circumcircle of Square

LaTeX Go Diameter of Circumcircle of Square = sqrt(2)*Edge Length of Square

Diameter of Circumcircle of Square given Area

LaTeX Go Diameter of Circumcircle of Square = sqrt(2*Area of Square)

Diameter of Circumcircle of Square given Circumradius

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

Diameter of Circumcircle of Square given Diagonal

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

Diameter of Circumcircle of Square Formula

LaTeX Go

Diameter of Circumcircle of Square = sqrt(2)*Edge Length of Square
D_c = sqrt(2)*l_e

What is a Square?

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

What is a Circumcircle of Square?

When a square is enclosed in a circle that passes through all of its vertices we call that circle the circumcircle of the square.

How to Calculate Diameter of Circumcircle of Square?

Diameter of Circumcircle of Square calculator uses Diameter of Circumcircle of Square = sqrt(2)*Edge Length of Square to calculate the Diameter of Circumcircle of Square, The Diameter of Circumcircle of Square 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. Diameter of Circumcircle of Square is denoted by D_c symbol.

How to calculate Diameter of Circumcircle of Square using this online calculator? To use this online calculator for Diameter of Circumcircle of Square, enter Edge Length of Square (l_e) and hit the calculate button. Here is how the Diameter of Circumcircle of Square calculation can be explained with given input values -> 14.14214 = sqrt(2)*10.

FAQ

What is Diameter of Circumcircle of Square?

The Diameter of Circumcircle of Square 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 and is represented as D_c = sqrt(2)*l_e or Diameter of Circumcircle of Square = sqrt(2)*Edge Length of Square. The Edge Length of Square is the length of any of the four edges of the Square.

How to calculate Diameter of Circumcircle of Square?

The Diameter of Circumcircle of Square 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 is calculated using Diameter of Circumcircle of Square = sqrt(2)*Edge Length of Square. To calculate Diameter of Circumcircle of Square, you need Edge Length of Square (l_e). With our tool, you need to enter the respective value for Edge Length 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 Edge Length 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*Area of Square)
Diameter of Circumcircle of Square = 2*Circumradius of Square
Diameter of Circumcircle of Square = Diagonal of Square/1

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