Circumradius of Square given Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumradius of Square = sqrt(Area of Square/2)
rc = sqrt(A/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
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.
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
rc = sqrt(A/2) --> sqrt(100/2)
Evaluating ... ...
rc = 7.07106781186548
STEP 3: Convert Result to Output's Unit
7.07106781186548 Meter --> No Conversion Required
FINAL ANSWER
7.07106781186548 7.071068 Meter <-- Circumradius of Square
(Calculation completed in 00.020 seconds)

Credits

Creator Image
Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has created this Calculator and 600+ more calculators!
Verifier Image
Verified by Team Softusvista
Softusvista Office (Pune), India
Team Softusvista has verified this Calculator and 1100+ more calculators!

Circumradius of Square Calculators

Circumradius of Square given Perimeter
​ Go Circumradius of Square = Perimeter of Square/(4*sqrt(2))
Circumradius of Square
​ Go Circumradius of Square = Edge Length of Square/(sqrt(2))
Circumradius of Square given Area
​ Go Circumradius of Square = sqrt(Area of Square/2)
Circumradius of Square given Diagonal
​ Go Circumradius of Square = Diagonal of Square/2

Circumradius of Square given Area Formula

Circumradius of Square = sqrt(Area of Square/2)
rc = sqrt(A/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 circumradius and how it is calculated when area of the 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 its radius is called the circumradius. To calculate it uses the formula, R = √2A/2
Where R is the radius of the circumscribed circle and A is the area of the square.

How to Calculate Circumradius of Square given Area?

Circumradius of Square given Area calculator uses Circumradius of Square = sqrt(Area of Square/2) to calculate the Circumradius of Square, The Circumradius of Square given Area formula is defined as 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, and calculated using the area. Circumradius of Square is denoted by rc symbol.

How to calculate Circumradius of Square given Area using this online calculator? To use this online calculator for Circumradius of Square given Area, enter Area of Square (A) and hit the calculate button. Here is how the Circumradius of Square given Area calculation can be explained with given input values -> 7.071068 = sqrt(100/2).

FAQ

What is Circumradius of Square given Area?
The Circumradius of Square given Area formula is defined as 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, and calculated using the area and is represented as rc = sqrt(A/2) or Circumradius of Square = sqrt(Area of Square/2). The Area of Square is the total quantity of plane enclosed by the boundary lines of the Square.
How to calculate Circumradius of Square given Area?
The Circumradius of Square given Area formula is defined as 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, and calculated using the area is calculated using Circumradius of Square = sqrt(Area of Square/2). To calculate Circumradius 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 Circumradius of Square?
In this formula, Circumradius of Square uses Area of Square. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Circumradius of Square = Edge Length of Square/(sqrt(2))
  • Circumradius of Square = Perimeter of Square/(4*sqrt(2))
  • Circumradius of Square = Diagonal of Square/2
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!