Area of Square given Diameter of Circumcircle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Square = (Diameter of Circumcircle of Square^2)/2
A = (Dc^2)/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.
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.
STEP 1: Convert Input(s) to Base Unit
Diameter of Circumcircle of Square: 14 Meter --> 14 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (Dc^2)/2 --> (14^2)/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)

Credits

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Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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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 Inradius
​ Go Area of Square = 4*Inradius of Square^2

Area of Square given Diameter of Circumcircle Formula

Area of Square = (Diameter of Circumcircle of Square^2)/2
A = (Dc^2)/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 = Dc2 / 2
Where A is the area of the square and Dc is the diameter of the circumscribed circle.

How to Calculate Area of Square given Diameter of Circumcircle?

Area of Square given Diameter of Circumcircle calculator uses Area of Square = (Diameter of Circumcircle of Square^2)/2 to calculate the Area of Square, The Area of Square given Diameter of Circumcircle formula is defined as the total quantity of plane enclosed by the boundary lines of the Square, and calculated using diameter of circumcircle of the Square. Area of Square is denoted by A symbol.

How to calculate Area of Square given Diameter of Circumcircle using this online calculator? To use this online calculator for Area of Square given Diameter of Circumcircle, enter Diameter of Circumcircle of Square (Dc) and hit the calculate button. Here is how the Area of Square given Diameter of Circumcircle calculation can be explained with given input values -> 98 = (14^2)/2.

FAQ

What is Area of Square given Diameter of Circumcircle?
The Area of Square given Diameter of Circumcircle formula is defined as the total quantity of plane enclosed by the boundary lines of the Square, and calculated using diameter of circumcircle of the Square and is represented as A = (Dc^2)/2 or Area of Square = (Diameter of Circumcircle of Square^2)/2. 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.
How to calculate Area of Square given Diameter of Circumcircle?
The Area of Square given Diameter of Circumcircle formula is defined as the total quantity of plane enclosed by the boundary lines of the Square, and calculated using diameter of circumcircle of the Square is calculated using Area of Square = (Diameter of Circumcircle of Square^2)/2. To calculate Area of Square given Diameter of Circumcircle, you need Diameter of Circumcircle of Square (Dc). With our tool, you need to enter the respective value for Diameter of Circumcircle 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 Diameter of Circumcircle of Square. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Area of Square = 2*Circumradius of Square^2
  • Area of Square = 4*Inradius of Square^2
  • Area of Square = Diameter of Incircle of Square^2
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