Area of Square given Inradius 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 [r_i]

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✖The Area of Square is the total quantity of plane enclosed by the boundary lines of the Square.ⓘ Area of Square given Inradius [A]

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Area of Square given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Square = 4*Inradius of Square^2
A = 4*r_i^2
This formula uses 2 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Inradius of Square: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 4*r_i^2 --> 4*5^2

Evaluating ... ...

A = 100

STEP 3: Convert Result to Output's Unit

100 Square Meter --> No Conversion Required

FINAL ANSWER

100 Square Meter <-- Area 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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< Area of Square Calculators

Area of Square given Diameter of Circumcircle

LaTeX Go Area of Square = (Diameter of Circumcircle of Square^2)/2

Area of Square given Diameter of Incircle

LaTeX Go Area of Square = Diameter of Incircle of Square^2

Area of Square given Circumradius

LaTeX Go Area of Square = 2*Circumradius of Square^2

Area of Square given Inradius

LaTeX Go Area of Square = 4*Inradius of Square^2

Area of Square given Inradius Formula

LaTeX Go

Area of Square = 4*Inradius of Square^2
A = 4*r_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 area of the square and how it is calculated when a circle is inscribed in it?

The area of the square is defined as the number of square units needed to fill a square. An inscribed circle is one that is enclosed by and "fits snugly" inside a square. Its radius is known as inradius. When a circle is inscribed in it its area is calculated by the formula A = 4R_i
Where A is the area of the square and R_i is the inradius.

How to Calculate Area of Square given Inradius?

Area of Square given Inradius calculator uses Area of Square = 4*Inradius of Square^2 to calculate the Area of Square, The Area of Square given Inradius formula is defined as the total quantity of plane enclosed by the boundary lines of the Square, and calculated using inradius of the Square. Area of Square is denoted by A symbol.

How to calculate Area of Square given Inradius using this online calculator? To use this online calculator for Area of Square given Inradius, enter Inradius of Square (r_i) and hit the calculate button. Here is how the Area of Square given Inradius calculation can be explained with given input values -> 100 = 4*5^2.

FAQ

What is Area of Square given Inradius?

The Area of Square given Inradius formula is defined as the total quantity of plane enclosed by the boundary lines of the Square, and calculated using inradius of the Square and is represented as A = 4*r_i^2 or Area of Square = 4*Inradius of Square^2. 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.

How to calculate Area of Square given Inradius?

The Area of Square given Inradius formula is defined as the total quantity of plane enclosed by the boundary lines of the Square, and calculated using inradius of the Square is calculated using Area of Square = 4*Inradius of Square^2. To calculate Area of Square given Inradius, you need Inradius of Square (r_i). With our tool, you need to enter the respective value for Inradius 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 Area of Square?

In this formula, Area of Square uses Inradius of Square. We can use 3 other way(s) to calculate the same, which is/are as follows -

Area of Square = 2*Circumradius of Square^2
Area of Square = (Diameter of Circumcircle of Square^2)/2
Area of Square = Diameter of Incircle of Square^2

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