Inradius 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]

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✖The Inradius of Square is the radius of incircle of the Square or the circle which contained by the Square with all the edges of the Square touch the circle.ⓘ Inradius of Square given Diameter of Incircle [r_i]

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Formula

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Inradius of Square given Diameter of Incircle

Formula

`"r"_{"i"} = "D"_{"i"}/2`

Example

`"5m"="10m"/2`

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Inradius of Square given Diameter of Incircle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Square = Diameter of Incircle of Square/2
r_i = D_i/2
This formula uses 2 Variables

Variables Used

Inradius of Square - (Measured in Meter) - The Inradius of Square is the radius 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 - (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_i = D_i/2 --> 10/2

Evaluating ... ...

r_i = 5

STEP 3: Convert Result to Output's Unit

5 Meter --> No Conversion Required

FINAL ANSWER

5 Meter <-- Inradius 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 Inradius of Square Calculators

Inradius of Square given Diameter of Circumcircle

Go Inradius of Square = Diameter of Circumcircle of Square/(2*sqrt(2))

Inradius of Square given Circumradius

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

Inradius of Square given Diagonal

Go Inradius of Square = Diagonal of Square/(2*sqrt(2))

Inradius of Square given Area

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

Inradius of Square given Diameter of Incircle

Go Inradius of Square = Diameter of Incircle of Square/2

Inradius of Square

Go Inradius of Square = Edge Length of Square/2

Inradius of Square given Perimeter

Go Inradius of Square = Perimeter of Square/8

Inradius of Square given Diameter of Incircle Formula

Inradius of Square = Diameter of Incircle of Square/2
r_i = D_i/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 inradius of a square and how it is calculated ?

An inscribed circle is one that is enclosed by and "fits snugly" inside a square. Its radius is known as inradius and the circle is known as incircle. To calculate it use the formula
R = D_i /2 where R is the radius of the inscribed circle and D_i is the diameter of the inscribed circle or incircle.

How to Calculate Inradius of Square given Diameter of Incircle?

Inradius of Square given Diameter of Incircle calculator uses Inradius of Square = Diameter of Incircle of Square/2 to calculate the Inradius of Square, The Inradius of Square given Diameter of Incircle formula is defined as the radius of the incircle of the Square or the circle contained by the Square with all the edges of the Square touching the circle, and calculated using the diameter of the incircle. Inradius of Square is denoted by r_i symbol.

How to calculate Inradius of Square given Diameter of Incircle using this online calculator? To use this online calculator for Inradius of Square given Diameter of Incircle, enter Diameter of Incircle of Square (D_i) and hit the calculate button. Here is how the Inradius of Square given Diameter of Incircle calculation can be explained with given input values -> 5 = 10/2.

FAQ

What is Inradius of Square given Diameter of Incircle?

The Inradius of Square given Diameter of Incircle formula is defined as the radius of the incircle of the Square or the circle contained by the Square with all the edges of the Square touching the circle, and calculated using the diameter of the incircle and is represented as r_i = D_i/2 or Inradius of Square = Diameter of Incircle of Square/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 Inradius of Square given Diameter of Incircle?

The Inradius of Square given Diameter of Incircle formula is defined as the radius of the incircle of the Square or the circle contained by the Square with all the edges of the Square touching the circle, and calculated using the diameter of the incircle is calculated using Inradius of Square = Diameter of Incircle of Square/2. To calculate Inradius 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 Inradius of Square?

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

Inradius of Square = Edge Length of Square/2
Inradius of Square = Diagonal of Square/(2*sqrt(2))
Inradius of Square = Perimeter of Square/8
Inradius of Square = (sqrt(Area of Square))/2
Inradius of Square = Circumradius of Square/(sqrt(2))
Inradius of Square = Diameter of Circumcircle of Square/(2*sqrt(2))

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