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

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Formula

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Area of Square given Circumradius

Formula

`"A" = 2*"r"_{"c"}^2`

Example

`"98m²"=2*("7m")^2`

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Area of Square given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Square = 2*Circumradius of Square^2
A = 2*r_c^2
This formula uses 2 Variables

Variables Used

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.
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

A = 2*r_c^2 --> 2*7^2

Evaluating ... ...

A = 98

STEP 3: Convert Result to Output's Unit

98 Square Meter --> No Conversion Required

FINAL ANSWER

98 Square Meter <-- Area of Square

(Calculation completed in 00.004 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< 7 Area of Square Calculators

Area of Square given Diameter of Circumcircle

Go Area of Square = (Diameter of Circumcircle of Square^2)/2

Area of Square given Diameter of Incircle

Go Area of Square = Diameter of Incircle of Square^2

Area of Square given Circumradius

Go Area of Square = 2*Circumradius of Square^2

Area of Square given Perimeter

Go Area of Square = 1/16*Perimeter of Square^2

Area of Square given Diagonal

Go Area of Square = 1/2*Diagonal of Square^2

Area of Square

Go Area of Square = Edge Length of Square^2

Area of Square given Inradius

Go Area of Square = 4*Inradius of Square^2

Area of Square given Circumradius Formula

Area of Square = 2*Circumradius of Square^2
A = 2*r_c^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 area of the square and how it is calculated when circumscribed in a circle ?

The area of a square is defined as the number of square units needed to fill a square. When it is circumscribed in a circle it 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, use the formula A = 2R².
where A is the area of the square and R is the radius of the circumscribed circle.

How to Calculate Area of Square given Circumradius?

Area of Square given Circumradius calculator uses Area of Square = 2*Circumradius of Square^2 to calculate the Area of Square, The Area of Square given Circumradius formula is defined as the total quantity of plane enclosed by the boundary lines of the Square, and calculated using the circumradius of the Square. Area of Square is denoted by A symbol.

How to calculate Area of Square given Circumradius using this online calculator? To use this online calculator for Area of Square given Circumradius, enter Circumradius of Square (r_c) and hit the calculate button. Here is how the Area of Square given Circumradius calculation can be explained with given input values -> 98 = 2*7^2.

FAQ

What is Area of Square given Circumradius?

The Area of Square given Circumradius formula is defined as the total quantity of plane enclosed by the boundary lines of the Square, and calculated using the circumradius of the Square and is represented as A = 2*r_c^2 or Area of Square = 2*Circumradius of Square^2. 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 Area of Square given Circumradius?

The Area of Square given Circumradius formula is defined as the total quantity of plane enclosed by the boundary lines of the Square, and calculated using the circumradius of the Square is calculated using Area of Square = 2*Circumradius of Square^2. To calculate Area 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 Area of Square?

In this formula, Area of Square uses Circumradius of Square. We can use 6 other way(s) to calculate the same, which is/are as follows -

Area of Square = (Diameter of Circumcircle of Square^2)/2
Area of Square = 4*Inradius of Square^2
Area of Square = Diameter of Incircle of Square^2
Area of Square = Edge Length of Square^2
Area of Square = 1/2*Diagonal of Square^2
Area of Square = 1/16*Perimeter of Square^2

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