Diameter of Circumcircle 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 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 given Perimeter [D_c]

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Diameter of Circumcircle of Square given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Circumcircle of Square = Perimeter of Square/(2*sqrt(2))
D_c = P/(2*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

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.
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

D_c = P/(2*sqrt(2)) --> 40/(2*sqrt(2))

Evaluating ... ...

D_c = 14.1421356237309

STEP 3: Convert Result to Output's Unit

14.1421356237309 Meter --> No Conversion Required

FINAL ANSWER

14.1421356237309 ≈ 14.14214 Meter <-- Diameter of Circumcircle of Square

(Calculation completed in 00.020 seconds)

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< Diameter of Circumcircle of Square Calculators

Diameter of Circumcircle of Square

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

Diameter of Circumcircle of Square given Area

LaTeX Go Diameter of Circumcircle of Square = sqrt(2*Area of Square)

Diameter of Circumcircle of Square given Circumradius

LaTeX Go Diameter of Circumcircle of Square = 2*Circumradius of Square

Diameter of Circumcircle of Square given Diagonal

LaTeX Go Diameter of Circumcircle of Square = Diagonal of Square/1

Diameter of Circumcircle of Square given Perimeter Formula

LaTeX Go

Diameter of Circumcircle of Square = Perimeter of Square/(2*sqrt(2))
D_c = P/(2*sqrt(2))

What is a Square?

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

What is a Circumcircle of square and how diameter of circumcircle is calculated when perimeter of square is given?

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 the length of the line joining the circumcenter and the opposite ends on the circumference of circle is called the diameter of Circumcircle. It is calculated using D_c =P/2√2, where D_c is the diameter of the Circumcircle and P is the perimeter of square.

How to Calculate Diameter of Circumcircle of Square given Perimeter?

Diameter of Circumcircle of Square given Perimeter calculator uses Diameter of Circumcircle of Square = Perimeter of Square/(2*sqrt(2)) to calculate the Diameter of Circumcircle of Square, The Diameter of Circumcircle of Square given Perimeter 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, calculated using perimeter of Square. Diameter of Circumcircle of Square is denoted by D_c symbol.

How to calculate Diameter of Circumcircle of Square given Perimeter using this online calculator? To use this online calculator for Diameter of Circumcircle of Square given Perimeter, enter Perimeter of Square (P) and hit the calculate button. Here is how the Diameter of Circumcircle of Square given Perimeter calculation can be explained with given input values -> 14.14214 = 40/(2*sqrt(2)).

FAQ

What is Diameter of Circumcircle of Square given Perimeter?

The Diameter of Circumcircle of Square given Perimeter 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, calculated using perimeter of Square and is represented as D_c = P/(2*sqrt(2)) or Diameter of Circumcircle of Square = Perimeter of Square/(2*sqrt(2)). The Perimeter of Square is the total length of all the boundary lines of the Square.

How to calculate Diameter of Circumcircle of Square given Perimeter?

The Diameter of Circumcircle of Square given Perimeter 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, calculated using perimeter of Square is calculated using Diameter of Circumcircle of Square = Perimeter of Square/(2*sqrt(2)). To calculate Diameter of Circumcircle 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 Diameter of Circumcircle of Square?

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

Diameter of Circumcircle of Square = sqrt(2)*Edge Length of Square
Diameter of Circumcircle of Square = sqrt(2*Area of Square)
Diameter of Circumcircle of Square = 2*Circumradius of Square

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