Circumradius 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 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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Circumradius of Square Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

r_c = l_e/(sqrt(2)) --> 10/(sqrt(2))

Evaluating ... ...

r_c = 7.07106781186547

STEP 3: Convert Result to Output's Unit

7.07106781186547 Meter --> No Conversion Required

FINAL ANSWER

7.07106781186547 ≈ 7.071068 Meter <-- Circumradius of Square

(Calculation completed in 00.061 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has created this Calculator and 600+ more calculators!

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< Circumradius of Square Calculators

Circumradius of Square given Perimeter

LaTeX Go Circumradius of Square = Perimeter of Square/(4*sqrt(2))

Circumradius of Square

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

Circumradius of Square given Area

LaTeX Go Circumradius of Square = sqrt(Area of Square/2)

Circumradius of Square given Diagonal

LaTeX Go Circumradius of Square = Diagonal of Square/2

Circumradius of Square Formula

LaTeX Go

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

What is a Square?

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

What is circumradius and how it is calculated?

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 its radius is called the circumradius. To calculate it uses the formula,
R = a/√2 where R is the radius of the circumscribed circle and a is the side of the square.

How to Calculate Circumradius of Square?

Circumradius of Square calculator uses Circumradius of Square = Edge Length of Square/(sqrt(2)) to calculate the Circumradius of Square, The Circumradius of Square formula is defined as the radius of the circumcircle of the Square or the circle which contains the square with all the vertices of the Square lies on the circle. Circumradius of Square is denoted by r_c symbol.

How to calculate Circumradius of Square using this online calculator? To use this online calculator for Circumradius of Square, enter Edge Length of Square (l_e) and hit the calculate button. Here is how the Circumradius of Square calculation can be explained with given input values -> 7.071068 = 10/(sqrt(2)).

FAQ

What is Circumradius of Square?

The Circumradius of Square formula is defined as the radius of the circumcircle of the Square or the circle which contains the square with all the vertices of the Square lies on the circle and is represented as r_c = l_e/(sqrt(2)) or Circumradius of Square = Edge Length of Square/(sqrt(2)). The Edge Length of Square is the length of any of the four edges of the Square.

How to calculate Circumradius of Square?

The Circumradius of Square formula is defined as the radius of the circumcircle of the Square or the circle which contains the square with all the vertices of the Square lies on the circle is calculated using Circumradius of Square = Edge Length of Square/(sqrt(2)). To calculate Circumradius 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 Circumradius of Square?

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

Circumradius of Square = Perimeter of Square/(4*sqrt(2))
Circumradius of Square = sqrt(Area of Square/2)
Circumradius of Square = Diagonal of Square/2

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