Edge Length of Square given Circumradius Calculator

✖The Circumradius of Square is the radius of the circumcircle of the Square or the circle which contains the square with all the vertices of the Square lying on the circle.ⓘ Circumradius of Square [r_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 Circumradius [l_e]

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Edge Length of Square given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Square = sqrt(2)*Circumradius of Square
l_e = sqrt(2)*r_c
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.
Circumradius of Square - (Measured in Meter) - The Circumradius of Square is the radius of the 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

Circumradius of Square: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = sqrt(2)*r_c --> sqrt(2)*7

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 Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< Edge of Square Calculators

Edge Length of Square given Circumradius

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

Edge Length of Square given Diagonal

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

Edge Length of Square given Area

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

Edge Length of Square given Inradius

LaTeX Go Edge Length of Square = 2*Inradius of Square

Edge Length of Square given Circumradius Formula

LaTeX Go

Edge Length of Square = sqrt(2)*Circumradius of Square
l_e = sqrt(2)*r_c

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 Circumradius?

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

How to calculate Edge Length of Square given Circumradius using this online calculator? To use this online calculator for Edge Length of Square given Circumradius, enter Circumradius of Square (r_c) and hit the calculate button. Here is how the Edge Length of Square given Circumradius calculation can be explained with given input values -> 9.899495 = sqrt(2)*7.

FAQ

What is Edge Length of Square given Circumradius?

The Edge Length of Square given Circumradius formula is defined as the length of any of the four edges of the Square, and calculated using the circumradius of the Square and is represented as l_e = sqrt(2)*r_c or Edge Length of Square = sqrt(2)*Circumradius of Square. The Circumradius of Square is the radius of the 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 Circumradius?

The Edge Length of Square given Circumradius formula is defined as the length of any of the four edges of the Square, and calculated using the circumradius of the Square is calculated using Edge Length of Square = sqrt(2)*Circumradius of Square. To calculate Edge Length of Square given Circumradius, you need Circumradius of Square (r_c). With our tool, you need to enter the respective value for Circumradius 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 Circumradius of Square. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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