Diameter of Circumcircle of Square given Area Calculator

✖The Area of Square is the total quantity of plane enclosed by the boundary lines of the Square.ⓘ Area of Square [A]

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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 Area [D_c]

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Diameter of Circumcircle of Square given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Circumcircle of Square = sqrt(2*Area of Square)
D_c = sqrt(2*A)
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.
Area of Square - (Measured in Square Meter) - The Area of Square is the total quantity of plane enclosed by the boundary lines of the Square.

STEP 1: Convert Input(s) to Base Unit

Area of Square: 100 Square Meter --> 100 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_c = sqrt(2*A) --> sqrt(2*100)

Evaluating ... ...

D_c = 14.142135623731

STEP 3: Convert Result to Output's Unit

14.142135623731 Meter --> No Conversion Required

FINAL ANSWER

14.142135623731 ≈ 14.14214 Meter <-- Diameter of Circumcircle of Square

(Calculation completed in 00.004 seconds)

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Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

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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 Area Formula

LaTeX Go

Diameter of Circumcircle of Square = sqrt(2*Area of Square)
D_c = sqrt(2*A)

What is a Square?

A square is a quadrilateral whose all sides and angles are equal. To be precise, all 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 diameter of circumcircle of square and how it is calculated when area 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 centre of this circle is called the circumcenter and the line joining the centre and the two opposite points of the circle is called the diameter. To calculate the diameter, we use the formula, D_c= √(2A) where D_c is the diameter of the circumcircle and A is the area of the square.

How to Calculate Diameter of Circumcircle of Square given Area?

Diameter of Circumcircle of Square given Area calculator uses Diameter of Circumcircle of Square = sqrt(2*Area of Square) to calculate the Diameter of Circumcircle of Square, The Diameter of Circumcircle of Square given Area formula is defined as the diameter of the circle which contains all the vertices of the square and calculated using the area of the square. Diameter of Circumcircle of Square is denoted by D_c symbol.

How to calculate Diameter of Circumcircle of Square given Area using this online calculator? To use this online calculator for Diameter of Circumcircle of Square given Area, enter Area of Square (A) and hit the calculate button. Here is how the Diameter of Circumcircle of Square given Area calculation can be explained with given input values -> 14.14214 = sqrt(2*100).

FAQ

What is Diameter of Circumcircle of Square given Area?

The Diameter of Circumcircle of Square given Area formula is defined as the diameter of the circle which contains all the vertices of the square and calculated using the area of the square and is represented as D_c = sqrt(2*A) or Diameter of Circumcircle of Square = sqrt(2*Area of Square). The Area of Square is the total quantity of plane enclosed by the boundary lines of the Square.

How to calculate Diameter of Circumcircle of Square given Area?

The Diameter of Circumcircle of Square given Area formula is defined as the diameter of the circle which contains all the vertices of the square and calculated using the area of the square is calculated using Diameter of Circumcircle of Square = sqrt(2*Area of Square). To calculate Diameter of Circumcircle of Square given Area, you need Area of Square (A). With our tool, you need to enter the respective value for Area 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 Area 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 = 2*Circumradius of Square
Diameter of Circumcircle of Square = Diagonal of Square/1

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