Inradius of Square given Area Calculator

✖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 Area [r_i]

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Formula

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Inradius of Square given Area

Formula

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

Example

`"5m"=(sqrt("100m²"))/2`

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Inradius of Square given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

r_i = (sqrt(A))/2 --> (sqrt(100))/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

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

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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 Area Formula

Inradius of Square = (sqrt(Area of Square))/2
r_i = (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 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 uses the formula R = √A /2
Where R is the radius of the inscribed circle and A is the area of the square.

How to Calculate Inradius of Square given Area?

Inradius of Square given Area calculator uses Inradius of Square = (sqrt(Area of Square))/2 to calculate the Inradius of Square, The Inradius of Square given Area formula is defined as the radius of 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 area. Inradius of Square is denoted by r_i symbol.

How to calculate Inradius of Square given Area using this online calculator? To use this online calculator for Inradius of Square given Area, enter Area of Square (A) and hit the calculate button. Here is how the Inradius of Square given Area calculation can be explained with given input values -> 5 = (sqrt(100))/2.

FAQ

What is Inradius of Square given Area?

The Inradius of Square given Area formula is defined as the radius of 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 area and is represented as r_i = (sqrt(A))/2 or Inradius 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 Inradius of Square given Area?

The Inradius of Square given Area formula is defined as the radius of 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 area is calculated using Inradius of Square = (sqrt(Area of Square))/2. To calculate Inradius 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 Inradius of Square?

In this formula, Inradius of Square uses Area 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 = Circumradius of Square/(sqrt(2))
Inradius of Square = Diameter of Circumcircle of Square/(2*sqrt(2))
Inradius of Square = Diameter of Incircle of Square/2

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