Circumradius of Square given Diagonal 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 given Diagonal [r_c]

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Formula

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Circumradius of Square given Diagonal

Formula

`"r"_{"c"} = "d"/2`

Example

`"7m"="14m"/2`

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Circumradius of Square given Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Square = Diagonal of Square/2
r_c = d/2
This formula uses 2 Variables

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.
Diagonal of Square - (Measured in Meter) - The Diagonal of Square is the length of the line joining any pair of opposite vertices of the Square.

STEP 1: Convert Input(s) to Base Unit

Diagonal of Square: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = d/2 --> 14/2

Evaluating ... ...

r_c = 7

STEP 3: Convert Result to Output's Unit

7 Meter --> No Conversion Required

FINAL ANSWER

7 Meter <-- Circumradius of Square

(Calculation completed in 00.021 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< 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 Diagonal Formula

Circumradius of Square = Diagonal of Square/2
r_c = d/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 the diagonal 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 = d/2
Where R is the radius of the circumscribed circle and d is the diagonal of the square.

How to Calculate Circumradius of Square given Diagonal?

Circumradius of Square given Diagonal calculator uses Circumradius of Square = Diagonal of Square/2 to calculate the Circumradius of Square, The Circumradius of Square given Diagonal 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 a diagonal. Circumradius of Square is denoted by r_c symbol.

How to calculate Circumradius of Square given Diagonal using this online calculator? To use this online calculator for Circumradius of Square given Diagonal, enter Diagonal of Square (d) and hit the calculate button. Here is how the Circumradius of Square given Diagonal calculation can be explained with given input values -> 7 = 14/2.

FAQ

What is Circumradius of Square given Diagonal?

The Circumradius of Square given Diagonal 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 a diagonal and is represented as r_c = d/2 or Circumradius of Square = Diagonal of Square/2. The Diagonal of Square is the length of the line joining any pair of opposite vertices of the Square.

How to calculate Circumradius of Square given Diagonal?

The Circumradius of Square given Diagonal 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 a diagonal is calculated using Circumradius of Square = Diagonal of Square/2. To calculate Circumradius of Square given Diagonal, you need Diagonal of Square (d). With our tool, you need to enter the respective value for Diagonal 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 Diagonal 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 = Diameter of Circumcircle of Square/2
Circumradius of Square = sqrt(2)*Inradius of Square
Circumradius of Square = Diameter of Incircle of Square/(sqrt(2))

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