Circumradius of Square given Perimeter Calculator

✖The Perimeter of Square is the total length of all the boundary lines of the Square.ⓘ Perimeter of Square [P]

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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 given Perimeter [r_c]

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Circumradius of Square given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Square = Perimeter of Square/(4*sqrt(2))
r_c = P/(4*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.
Perimeter of Square - (Measured in Meter) - The Perimeter of Square is the total length of all the boundary lines of the Square.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Square: 40 Meter --> 40 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = P/(4*sqrt(2)) --> 40/(4*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 00.020 seconds)

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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 given Perimeter Formula

LaTeX Go

Circumradius of Square = Perimeter of Square/(4*sqrt(2))
r_c = P/(4*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 radius of circumscribed circle of square 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 = P / 4√2
Where R is the radius of the circumscribed circle, P is the perimeter of the square.

How to Calculate Circumradius of Square given Perimeter?

Circumradius of Square given Perimeter calculator uses Circumradius of Square = Perimeter of Square/(4*sqrt(2)) to calculate the Circumradius of Square, The Circumradius of Square given Perimeter 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 lying on the circle, and calculated using the perimeter. Circumradius of Square is denoted by r_c symbol.

How to calculate Circumradius of Square given Perimeter using this online calculator? To use this online calculator for Circumradius of Square given Perimeter, enter Perimeter of Square (P) and hit the calculate button. Here is how the Circumradius of Square given Perimeter calculation can be explained with given input values -> 7.071068 = 40/(4*sqrt(2)).

FAQ

What is Circumradius of Square given Perimeter?

The Circumradius of Square given Perimeter 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 lying on the circle, and calculated using the perimeter and is represented as r_c = P/(4*sqrt(2)) or Circumradius of Square = Perimeter of Square/(4*sqrt(2)). The Perimeter of Square is the total length of all the boundary lines of the Square.

How to calculate Circumradius of Square given Perimeter?

The Circumradius of Square given Perimeter 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 lying on the circle, and calculated using the perimeter is calculated using Circumradius of Square = Perimeter of Square/(4*sqrt(2)). To calculate Circumradius of Square given Perimeter, you need Perimeter of Square (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter of Square. We can use 3 other way(s) to calculate the same, which is/are as follows -

Circumradius of Square = Edge Length of Square/(sqrt(2))
Circumradius of Square = sqrt(Area of Square/2)
Circumradius of Square = Diagonal of Square/2

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