Diameter of Circumcircle of Square Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Circumcircle of Square = sqrt(2)*Edge Length of Square
Dc = sqrt(2)*le
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
Dc = sqrt(2)*le --> sqrt(2)*10
Evaluating ... ...
Dc = 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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Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka
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7 Diameter of Circumcircle of Square Calculators

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

Diameter of Circumcircle of Square Formula

Diameter of Circumcircle of Square = sqrt(2)*Edge Length of Square
Dc = sqrt(2)*le

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 Dc 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 (le) 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 Dc = sqrt(2)*le 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 (le). 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 6 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
  • Diameter of Circumcircle of Square = sqrt(2)*Diameter of Incircle of Square
  • Diameter of Circumcircle of Square = 2*sqrt(2)*Inradius of Square
  • Diameter of Circumcircle of Square = Perimeter of Square/(2*sqrt(2))
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