Area of Truncated Square given Side and Perimeter Calculator

✖The Side of Truncated Square is the first particular type of line segment joining two adjacent vertices in a Truncated Square.ⓘ Side of Truncated Square [S]			+10% -10%
✖The Perimeter of Truncated Square is the closed path that encompasses, surrounds, or outlines the Truncated Square.ⓘ Perimeter of Truncated Square [P]			+10% -10%

✖Area of Truncated Square is the amount of space occupied by a Truncated Square in the given plane.ⓘ Area of Truncated Square given Side and Perimeter [A]

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Area of Truncated Square given Side and Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Truncated Square = (Side of Truncated Square+(sqrt(2)*(Perimeter of Truncated Square/4-Side of Truncated Square)))^2-(Perimeter of Truncated Square/4-Side of Truncated Square)^2
A = (S+(sqrt(2)*(P/4-S)))^2-(P/4-S)^2
This formula uses 1 Functions, 3 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

Area of Truncated Square - (Measured in Square Meter) - Area of Truncated Square is the amount of space occupied by a Truncated Square in the given plane.
Side of Truncated Square - (Measured in Meter) - The Side of Truncated Square is the first particular type of line segment joining two adjacent vertices in a Truncated Square.
Perimeter of Truncated Square - (Measured in Meter) - The Perimeter of Truncated Square is the closed path that encompasses, surrounds, or outlines the Truncated Square.

STEP 1: Convert Input(s) to Base Unit

Side of Truncated Square: 10 Meter --> 10 Meter No Conversion Required
Perimeter of Truncated Square: 50 Meter --> 50 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (S+(sqrt(2)*(P/4-S)))^2-(P/4-S)^2 --> (10+(sqrt(2)*(50/4-10)))^2-(50/4-10)^2

Evaluating ... ...

A = 176.960678118655

STEP 3: Convert Result to Output's Unit

176.960678118655 Square Meter --> No Conversion Required

FINAL ANSWER

176.960678118655 ≈ 176.9607 Square Meter <-- Area of Truncated Square

(Calculation completed in 00.004 seconds)

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< Area of Truncated Square Calculators

Area of Truncated Square given Perimeter and Missing Length

LaTeX Go Area of Truncated Square = (Perimeter of Truncated Square/4-(sqrt(2)*Missing Length of Truncated Square)+(2*Missing Length of Truncated Square))^2-(2*Missing Length of Truncated Square^2)

Area of Truncated Square given Diagonal, Height and Missing Length

LaTeX Go Area of Truncated Square = (sqrt(Diagonal of Truncated Square^2-Height of Truncated Square^2)+(2*Missing Length of Truncated Square))^2-(2*Missing Length of Truncated Square^2)

Area of Truncated Square given Perimeter, Truncated Side and Missing Length

LaTeX Go Area of Truncated Square = (Perimeter of Truncated Square/4-Truncated Side of Truncated Square+(2*Missing Length of Truncated Square))^2-(2*Missing Length of Truncated Square^2)

Area of Truncated Square

LaTeX Go Area of Truncated Square = (Side of Truncated Square+(2*Missing Length of Truncated Square))^2-(2*Missing Length of Truncated Square^2)

Area of Truncated Square given Side and Perimeter Formula

LaTeX Go

What is Truncated Square?

A Truncated Square, a square with the edges equally cut off. This is an octagon with sides of two different lengths, whose opposite sides have the same length each and are parallel. Solar cells often have this shape.

How to Calculate Area of Truncated Square given Side and Perimeter?

Area of Truncated Square given Side and Perimeter calculator uses Area of Truncated Square = (Side of Truncated Square+(sqrt(2)*(Perimeter of Truncated Square/4-Side of Truncated Square)))^2-(Perimeter of Truncated Square/4-Side of Truncated Square)^2 to calculate the Area of Truncated Square, The Area of Truncated Square given Side and Perimeter formula is defined as the amount of space covered or occupied by a Truncated square in the given plane, calculated using side and perimeter. Area of Truncated Square is denoted by A symbol.

How to calculate Area of Truncated Square given Side and Perimeter using this online calculator? To use this online calculator for Area of Truncated Square given Side and Perimeter, enter Side of Truncated Square (S) & Perimeter of Truncated Square (P) and hit the calculate button. Here is how the Area of Truncated Square given Side and Perimeter calculation can be explained with given input values -> 176.9607 = (10+(sqrt(2)*(50/4-10)))^2-(50/4-10)^2.

FAQ

What is Area of Truncated Square given Side and Perimeter?

The Area of Truncated Square given Side and Perimeter formula is defined as the amount of space covered or occupied by a Truncated square in the given plane, calculated using side and perimeter and is represented as A = (S+(sqrt(2)*(P/4-S)))^2-(P/4-S)^2 or Area of Truncated Square = (Side of Truncated Square+(sqrt(2)*(Perimeter of Truncated Square/4-Side of Truncated Square)))^2-(Perimeter of Truncated Square/4-Side of Truncated Square)^2. The Side of Truncated Square is the first particular type of line segment joining two adjacent vertices in a Truncated Square & The Perimeter of Truncated Square is the closed path that encompasses, surrounds, or outlines the Truncated Square.

How to calculate Area of Truncated Square given Side and Perimeter?

The Area of Truncated Square given Side and Perimeter formula is defined as the amount of space covered or occupied by a Truncated square in the given plane, calculated using side and perimeter is calculated using Area of Truncated Square = (Side of Truncated Square+(sqrt(2)*(Perimeter of Truncated Square/4-Side of Truncated Square)))^2-(Perimeter of Truncated Square/4-Side of Truncated Square)^2. To calculate Area of Truncated Square given Side and Perimeter, you need Side of Truncated Square (S) & Perimeter of Truncated Square (P). With our tool, you need to enter the respective value for Side of Truncated Square & Perimeter of Truncated 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 Truncated Square?

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

Area of Truncated Square = (Side of Truncated Square+(2*Missing Length of Truncated Square))^2-(2*Missing Length of Truncated Square^2)
Area of Truncated Square = (Perimeter of Truncated Square/4-(sqrt(2)*Missing Length of Truncated Square)+(2*Missing Length of Truncated Square))^2-(2*Missing Length of Truncated Square^2)
Area of Truncated Square = (Perimeter of Truncated Square/4-Truncated Side of Truncated Square+(2*Missing Length of Truncated Square))^2-(2*Missing Length of Truncated Square^2)

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