Circumradius of Square given Diameter of Incircle Calculator

✖The Diameter of Incircle of Square is the diameter of incircle of the Square or the circle which contained by the Square with all the edges of the Square touch the circle.ⓘ Diameter of Incircle of Square [D_i]

+10%

-10%

✖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 given Diameter of Incircle [r_c]

⎘ Copy

👎

Formula

✖

Circumradius of Square given Diameter of Incircle

Formula

`"r"_{"c"} = "D"_{"i"}/(sqrt(2))`

Example

`"7.071068m"="10m"/(sqrt(2))`

Calculator

LaTeX

Reset

👍

Download Square Formulas PDF

Circumradius of Square given Diameter of Incircle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Square = Diameter of Incircle of Square/(sqrt(2))
r_c = D_i/(sqrt(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.
Diameter of Incircle of Square - (Measured in Meter) - The Diameter of Incircle of Square is the diameter of incircle of the Square or the circle which contained by the Square with all the edges of the Square touch the circle.

STEP 1: Convert Input(s) to Base Unit

Diameter of Incircle of Square: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = D_i/(sqrt(2)) --> 10/(sqrt(2))

Evaluating ... ...

r_c = 7.07106781186547

STEP 3: Convert Result to Output's Unit

7.07106781186547 Meter --> No Conversion Required

FINAL ANSWER

7.07106781186547 ≈ 7.071068 Meter <-- Circumradius of Square

(Calculation completed in 00.006 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Square » Radius of Square » Circumradius of Square » Circumradius of Square given Diameter of Incircle

Credits

Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has created this Calculator and 600+ more calculators!

Verified by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has verified this Calculator and 1100+ more calculators!

< 7 Circumradius of Square Calculators

Circumradius of Square given Diameter of Incircle

Go Circumradius of Square = Diameter of Incircle of Square/(sqrt(2))

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 Inradius

Go Circumradius of Square = sqrt(2)*Inradius of Square

Circumradius of Square given Area

Go Circumradius of Square = sqrt(Area of Square/2)

Circumradius of Square given Diameter of Circumcircle

Go Circumradius of Square = Diameter of Circumcircle of Square/2

Circumradius of Square given Diagonal

Go Circumradius of Square = Diagonal of Square/2

Circumradius of Square given Diameter of Incircle Formula

Circumradius of Square = Diameter of Incircle of Square/(sqrt(2))
r_c = D_i/(sqrt(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 diameter of the incircle 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 = D_i √2/2

How to Calculate Circumradius of Square given Diameter of Incircle?

Circumradius of Square given Diameter of Incircle calculator uses Circumradius of Square = Diameter of Incircle of Square/(sqrt(2)) to calculate the Circumradius of Square, The Circumradius of Square given Diameter of Incircle 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 diameter of the incircle. Circumradius of Square is denoted by r_c symbol.

How to calculate Circumradius of Square given Diameter of Incircle using this online calculator? To use this online calculator for Circumradius of Square given Diameter of Incircle, enter Diameter of Incircle of Square (D_i) and hit the calculate button. Here is how the Circumradius of Square given Diameter of Incircle calculation can be explained with given input values -> 7.071068 = 10/(sqrt(2)).

FAQ

What is Circumradius of Square given Diameter of Incircle?

The Circumradius of Square given Diameter of Incircle 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 diameter of the incircle and is represented as r_c = D_i/(sqrt(2)) or Circumradius of Square = Diameter of Incircle of Square/(sqrt(2)). The Diameter of Incircle of Square is the diameter of incircle of the Square or the circle which contained by the Square with all the edges of the Square touch the circle.

How to calculate Circumradius of Square given Diameter of Incircle?

The Circumradius of Square given Diameter of Incircle 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 diameter of the incircle is calculated using Circumradius of Square = Diameter of Incircle of Square/(sqrt(2)). To calculate Circumradius of Square given Diameter of Incircle, you need Diameter of Incircle of Square (D_i). With our tool, you need to enter the respective value for Diameter of Incircle 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 Diameter of Incircle of Square. We can use 6 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 = sqrt(Area of Square/2)
Circumradius of Square = Diagonal of Square/2
Circumradius of Square = Diameter of Circumcircle of Square/2
Circumradius of Square = sqrt(2)*Inradius of Square

Home

FREE PDFs

🔍 Search