Edge Length of Square given Diameter of Circumcircle Calculator

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

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Formula

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Edge Length of Square given Diameter of Circumcircle

Formula

`"l"_{"e"} = "D"_{"c"}/sqrt(2)`

Example

`"9.899495m"="14m"/sqrt(2)`

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Edge Length of Square given Diameter of Circumcircle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Square = Diameter of Circumcircle of Square/sqrt(2)
l_e = D_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

Edge Length of Square - (Measured in Meter) - The Edge Length of Square is the length of any of the four edges of the Square.
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.

STEP 1: Convert Input(s) to Base Unit

Diameter of Circumcircle of Square: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = D_c/sqrt(2) --> 14/sqrt(2)

Evaluating ... ...

l_e = 9.89949493661167

STEP 3: Convert Result to Output's Unit

9.89949493661167 Meter --> No Conversion Required

FINAL ANSWER

9.89949493661167 ≈ 9.899495 Meter <-- Edge Length of Square

(Calculation completed in 00.020 seconds)

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Created by prachi gami

NATIONAL INSTITUTE OF ENGINEERING (nie), mysore

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The National Institute of Engineering (NIE), Mysuru

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< 7 Edge of Square Calculators

Edge Length of Square given Diameter of Circumcircle

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

Edge Length of Square given Circumradius

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

Edge Length of Square given Diagonal

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

Edge Length of Square given Area

Go Edge Length of Square = sqrt(Area of Square)

Edge Length of Square given Diameter of Incircle

Go Edge Length of Square = Diameter of Incircle of Square/1

Edge Length of Square given Perimeter

Go Edge Length of Square = Perimeter of Square/4

Edge Length of Square given Inradius

Go Edge Length of Square = 2*Inradius of Square

Edge Length of Square given Diameter of Circumcircle Formula

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

What is Square?

A square is closed, two dimentional shape with 4 equal sides . A square has 4 sides and 4 vertices . All the sides of a square are equal in length. All interior angles are equal and right angles. The sum of the all the interior angles is 360

How to Calculate Edge Length of Square given Diameter of Circumcircle?

Edge Length of Square given Diameter of Circumcircle calculator uses Edge Length of Square = Diameter of Circumcircle of Square/sqrt(2) to calculate the Edge Length of Square, The Edge Length of Square given Diameter of Circumcircle formula is defined as the length of any of the four edges of the Square, and calculated using diameter of circumcircle of the Square. Edge Length of Square is denoted by l_e symbol.

How to calculate Edge Length of Square given Diameter of Circumcircle using this online calculator? To use this online calculator for Edge Length of Square given Diameter of Circumcircle, enter Diameter of Circumcircle of Square (D_c) and hit the calculate button. Here is how the Edge Length of Square given Diameter of Circumcircle calculation can be explained with given input values -> 9.899495 = 14/sqrt(2).

FAQ

What is Edge Length of Square given Diameter of Circumcircle?

The Edge Length of Square given Diameter of Circumcircle formula is defined as the length of any of the four edges of the Square, and calculated using diameter of circumcircle of the Square and is represented as l_e = D_c/sqrt(2) or Edge Length of Square = Diameter of Circumcircle of Square/sqrt(2). 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.

How to calculate Edge Length of Square given Diameter of Circumcircle?

The Edge Length of Square given Diameter of Circumcircle formula is defined as the length of any of the four edges of the Square, and calculated using diameter of circumcircle of the Square is calculated using Edge Length of Square = Diameter of Circumcircle of Square/sqrt(2). To calculate Edge Length of Square given Diameter of Circumcircle, you need Diameter of Circumcircle of Square (D_c). With our tool, you need to enter the respective value for Diameter of Circumcircle 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 Edge Length of Square?

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

Edge Length of Square = sqrt(2)*Circumradius of Square
Edge Length of Square = sqrt(Area of Square)
Edge Length of Square = Diagonal of Square/(sqrt(2))
Edge Length of Square = 2*Inradius of Square
Edge Length of Square = Perimeter of Square/4
Edge Length of Square = Diameter of Incircle of Square/1

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