Perimeter of Truncated Square given Diagonal, Height and Missing Lengths Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Truncated Square = 4*(sqrt(Diagonal of Truncated Square^2-Height of Truncated Square^2)+(sqrt(2)*Missing Length of Truncated Square))
P = 4*(sqrt(d^2-h^2)+(sqrt(2)*lMissing))
This formula uses 1 Functions, 4 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
Perimeter of Truncated Square - (Measured in Meter) - The Perimeter of Truncated Square is the closed path that encompasses, surrounds, or outlines the Truncated Square.
Diagonal of Truncated Square - (Measured in Meter) - Diagonal of Truncated Square is a line segment joining two opposite vertices of a Truncated Square.
Height of Truncated Square - (Measured in Meter) - The Height of Truncated Square is the total distance between the lowest and highest points of the Truncated Square.
Missing Length of Truncated Square - (Measured in Meter) - The Missing Length of Truncated Square is the measurement or extent of the missing edges of a Truncated Square.
STEP 1: Convert Input(s) to Base Unit
Diagonal of Truncated Square: 18 Meter --> 18 Meter No Conversion Required
Height of Truncated Square: 14 Meter --> 14 Meter No Conversion Required
Missing Length of Truncated Square: 2 Meter --> 2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 4*(sqrt(d^2-h^2)+(sqrt(2)*lMissing)) --> 4*(sqrt(18^2-14^2)+(sqrt(2)*2))
Evaluating ... ...
P = 56.5685424949238
STEP 3: Convert Result to Output's Unit
56.5685424949238 Meter --> No Conversion Required
FINAL ANSWER
56.5685424949238 56.56854 Meter <-- Perimeter of Truncated Square
(Calculation completed in 00.009 seconds)

Credits

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Walchand College of Engineering (WCE), Sangli
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4 Perimeter of Truncated Square Calculators

Perimeter of Truncated Square given Diagonal, Height and Missing Lengths
Go Perimeter of Truncated Square = 4*(sqrt(Diagonal of Truncated Square^2-Height of Truncated Square^2)+(sqrt(2)*Missing Length of Truncated Square))
Perimeter of Truncated Square given Diagonal, Height and Truncated Side
Go Perimeter of Truncated Square = 4*(sqrt(Diagonal of Truncated Square^2-Height of Truncated Square^2)+Truncated Side of Truncated Square)
Perimeter of Truncated Square given Side and Missing Length
Go Perimeter of Truncated Square = 4*((sqrt(2)*Missing Length of Truncated Square)+Side of Truncated Square)
Perimeter of Truncated Square
Go Perimeter of Truncated Square = 4*(Side of Truncated Square+Truncated Side of Truncated Square)

Perimeter of Truncated Square given Diagonal, Height and Missing Lengths Formula

Perimeter of Truncated Square = 4*(sqrt(Diagonal of Truncated Square^2-Height of Truncated Square^2)+(sqrt(2)*Missing Length of Truncated Square))
P = 4*(sqrt(d^2-h^2)+(sqrt(2)*lMissing))

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 Perimeter of Truncated Square given Diagonal, Height and Missing Lengths?

Perimeter of Truncated Square given Diagonal, Height and Missing Lengths calculator uses Perimeter of Truncated Square = 4*(sqrt(Diagonal of Truncated Square^2-Height of Truncated Square^2)+(sqrt(2)*Missing Length of Truncated Square)) to calculate the Perimeter of Truncated Square, The Perimeter of Truncated Square given Diagonal, Height and Missing Lengths formula is defined as the length of sum of all sides of the Truncated Square, calculated using its diagonal, height, and missing lengths. Perimeter of Truncated Square is denoted by P symbol.

How to calculate Perimeter of Truncated Square given Diagonal, Height and Missing Lengths using this online calculator? To use this online calculator for Perimeter of Truncated Square given Diagonal, Height and Missing Lengths, enter Diagonal of Truncated Square (d), Height of Truncated Square (h) & Missing Length of Truncated Square (lMissing) and hit the calculate button. Here is how the Perimeter of Truncated Square given Diagonal, Height and Missing Lengths calculation can be explained with given input values -> 56.56854 = 4*(sqrt(18^2-14^2)+(sqrt(2)*2)).

FAQ

What is Perimeter of Truncated Square given Diagonal, Height and Missing Lengths?
The Perimeter of Truncated Square given Diagonal, Height and Missing Lengths formula is defined as the length of sum of all sides of the Truncated Square, calculated using its diagonal, height, and missing lengths and is represented as P = 4*(sqrt(d^2-h^2)+(sqrt(2)*lMissing)) or Perimeter of Truncated Square = 4*(sqrt(Diagonal of Truncated Square^2-Height of Truncated Square^2)+(sqrt(2)*Missing Length of Truncated Square)). Diagonal of Truncated Square is a line segment joining two opposite vertices of a Truncated Square, The Height of Truncated Square is the total distance between the lowest and highest points of the Truncated Square & The Missing Length of Truncated Square is the measurement or extent of the missing edges of a Truncated Square.
How to calculate Perimeter of Truncated Square given Diagonal, Height and Missing Lengths?
The Perimeter of Truncated Square given Diagonal, Height and Missing Lengths formula is defined as the length of sum of all sides of the Truncated Square, calculated using its diagonal, height, and missing lengths is calculated using Perimeter of Truncated Square = 4*(sqrt(Diagonal of Truncated Square^2-Height of Truncated Square^2)+(sqrt(2)*Missing Length of Truncated Square)). To calculate Perimeter of Truncated Square given Diagonal, Height and Missing Lengths, you need Diagonal of Truncated Square (d), Height of Truncated Square (h) & Missing Length of Truncated Square (lMissing). With our tool, you need to enter the respective value for Diagonal of Truncated Square, Height of Truncated Square & Missing Length 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 Perimeter of Truncated Square?
In this formula, Perimeter of Truncated Square uses Diagonal of Truncated Square, Height of Truncated Square & Missing Length of Truncated Square. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Perimeter of Truncated Square = 4*(Side of Truncated Square+Truncated Side of Truncated Square)
  • Perimeter of Truncated Square = 4*((sqrt(2)*Missing Length of Truncated Square)+Side of Truncated Square)
  • Perimeter of Truncated Square = 4*(sqrt(Diagonal of Truncated Square^2-Height of Truncated Square^2)+Truncated Side of Truncated Square)
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