Area 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 Area of Square is the total quantity of plane enclosed by the boundary lines of the Square.ⓘ Area of Square given Diameter of Incircle [A]

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Formula

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Area of Square given Diameter of Incircle

Formula

`"A" = "D"_{"i"}^2`

Example

`"100m²"=("10m")^2`

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Area of Square given Diameter of Incircle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Square = Diameter of Incircle of Square^2
A = D_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.
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

A = D_i^2 --> 10^2

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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< 7 Area of Square Calculators

Area of Square given Diameter of Circumcircle

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

Area of Square given Diameter of Incircle

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

Area of Square given Circumradius

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

Area of Square given Perimeter

Go Area of Square = 1/16*Perimeter of Square^2

Area of Square given Diagonal

Go Area of Square = 1/2*Diagonal of Square^2

Area of Square

Go Area of Square = Edge Length of Square^2

Area of Square given Inradius

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

Area of Square given Diameter of Incircle Formula

Area of Square = Diameter of Incircle of Square^2
A = 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 area of the square and how it is calculated when diameter of the incircle is given ?

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 and the circle is known as incircle. To calculate the area, use the formula A= D_i²
Where A is the area of the square and D_i is the diameter of the incircle.

How to Calculate Area of Square given Diameter of Incircle?

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

How to calculate Area of Square given Diameter of Incircle using this online calculator? To use this online calculator for Area of Square given Diameter of Incircle, enter Diameter of Incircle of Square (D_i) and hit the calculate button. Here is how the Area of Square given Diameter of Incircle calculation can be explained with given input values -> 100 = 10^2.

FAQ

What is Area of Square given Diameter of Incircle?

The Area of Square given Diameter of Incircle formula is defined as the total quantity of plane enclosed by the boundary lines of the Square, and calculated using diameter of incircle of the Square and is represented as A = D_i^2 or Area 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 Area of Square given Diameter of Incircle?

The Area of Square given Diameter of Incircle formula is defined as the total quantity of plane enclosed by the boundary lines of the Square, and calculated using diameter of incircle of the Square is calculated using Area of Square = Diameter of Incircle of Square^2. To calculate Area 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 Area of Square?

In this formula, Area of Square uses Diameter of Incircle of Square. We can use 6 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 = 4*Inradius of Square^2
Area of Square = Edge Length of Square^2
Area of Square = 1/2*Diagonal of Square^2
Area of Square = 1/16*Perimeter of Square^2

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