Inradius of Square given Perimeter Calculator

✖The Perimeter of Square is the total length of all the boundary lines of the Square.ⓘ Perimeter of Square [P]

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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 Perimeter [r_i]

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Inradius of Square given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Square = Perimeter of Square/8
r_i = P/8
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.
Perimeter of Square - (Measured in Meter) - The Perimeter of Square is the total length of all the boundary lines of the Square.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Square: 40 Meter --> 40 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = P/8 --> 40/8

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 00.020 seconds)

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< Inradius of Square Calculators

Inradius of Square given Diagonal

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

Inradius of Square given Area

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

Inradius of Square

LaTeX Go Inradius of Square = Edge Length of Square/2

Inradius of Square given Perimeter

LaTeX Go Inradius of Square = Perimeter of Square/8

Inradius of Square given Perimeter Formula

LaTeX Go

Inradius of Square = Perimeter of Square/8
r_i = P/8

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 square inradius and how it is calculated when perimeter of the square is given ?

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 = P/8
where R is the inradius and P is the perimeter of the square.

How to Calculate Inradius of Square given Perimeter?

Inradius of Square given Perimeter calculator uses Inradius of Square = Perimeter of Square/8 to calculate the Inradius of Square, The Inradius of Square given Perimeter 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 perimeter. Inradius of Square is denoted by r_i symbol.

How to calculate Inradius of Square given Perimeter using this online calculator? To use this online calculator for Inradius of Square given Perimeter, enter Perimeter of Square (P) and hit the calculate button. Here is how the Inradius of Square given Perimeter calculation can be explained with given input values -> 5 = 40/8.

FAQ

What is Inradius of Square given Perimeter?

The Inradius of Square given Perimeter 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 perimeter and is represented as r_i = P/8 or Inradius of Square = Perimeter of Square/8. The Perimeter of Square is the total length of all the boundary lines of the Square.

How to calculate Inradius of Square given Perimeter?

The Inradius of Square given Perimeter 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 perimeter is calculated using Inradius of Square = Perimeter of Square/8. To calculate Inradius of Square given Perimeter, you need Perimeter of Square (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter of Square. We can use 3 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 = (sqrt(Area of Square))/2

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