Perimeter 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 Perimeter of Square is the total length of all the boundary lines of the Square.ⓘ Perimeter of Square given Circumradius [P]

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Perimeter of Square given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Square = 4*sqrt(2)*Circumradius of Square
P = 4*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

Perimeter of Square - (Measured in Meter) - The Perimeter of Square is the total length of all the boundary lines 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

P = 4*sqrt(2)*r_c --> 4*sqrt(2)*7

Evaluating ... ...

P = 39.5979797464467

STEP 3: Convert Result to Output's Unit

39.5979797464467 Meter --> No Conversion Required

FINAL ANSWER

39.5979797464467 ≈ 39.59798 Meter <-- Perimeter of Square

(Calculation completed in 00.020 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< Perimeter of Square Calculators

Perimeter of Square given Diameter of Circumcircle

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

Perimeter of Square given Circumradius

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

Perimeter of Square given Diameter of Incircle

LaTeX Go Perimeter of Square = 4*Diameter of Incircle of Square

Perimeter of Square given Inradius

LaTeX Go Perimeter of Square = 8*Inradius of Square

Perimeter of Square given Circumradius Formula

LaTeX Go

Perimeter of Square = 4*sqrt(2)*Circumradius of Square
P = 4*sqrt(2)*r_c

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 perimeter of square and how it is calculated ?

The perimeter of the square is the sum of all the sides of the square. A circumscribed circle of a square is a circle surrounding a square such that the circumference of the circle touches the midpoints of the four sides of the square. The perimeter of a square circumscribed in a circle is calculated by the formula :
P = 4R√2
Where P is the perimeter and R is the radius of the circumscribed circle.

How to Calculate Perimeter of Square given Circumradius?

Perimeter of Square given Circumradius calculator uses Perimeter of Square = 4*sqrt(2)*Circumradius of Square to calculate the Perimeter of Square, The Perimeter of Square given Circumradius formula is the total length of all the boundary lines of the Square and is calculated using the circumradius of the Square. Perimeter of Square is denoted by P symbol.

How to calculate Perimeter of Square given Circumradius using this online calculator? To use this online calculator for Perimeter of Square given Circumradius, enter Circumradius of Square (r_c) and hit the calculate button. Here is how the Perimeter of Square given Circumradius calculation can be explained with given input values -> 39.59798 = 4*sqrt(2)*7.

FAQ

What is Perimeter of Square given Circumradius?

The Perimeter of Square given Circumradius formula is the total length of all the boundary lines of the Square and is calculated using the circumradius of the Square and is represented as P = 4*sqrt(2)*r_c or Perimeter of Square = 4*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 Perimeter of Square given Circumradius?

The Perimeter of Square given Circumradius formula is the total length of all the boundary lines of the Square and is calculated using the circumradius of the Square is calculated using Perimeter of Square = 4*sqrt(2)*Circumradius of Square. To calculate Perimeter 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 Perimeter of Square?

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

Perimeter of Square = 4*Diameter of Incircle of Square
Perimeter of Square = 2*sqrt(2)*Diameter of Circumcircle of Square
Perimeter of Square = 8*Inradius of Square

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