Length of Truncated Square given Diagonal and Side 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%
✖Diagonal of Truncated Square is a line segment joining two opposite vertices of a Truncated Square.ⓘ Diagonal of Truncated Square [d]			+10% -10%

✖Length of Truncated Square is the measurement or extent of truncated square from end to end.ⓘ Length of Truncated Square given Diagonal and Side [l]

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Length of Truncated Square given Diagonal and Side Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Truncated Square = sqrt(2)*(Side of Truncated Square+(sqrt(Diagonal of Truncated Square^2-Side of Truncated Square^2)-Side of Truncated Square)/2)
l = sqrt(2)*(S+(sqrt(d^2-S^2)-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

Length of Truncated Square - (Measured in Meter) - Length of Truncated Square is the measurement or extent of truncated square from end to end.
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.
Diagonal of Truncated Square - (Measured in Meter) - Diagonal of Truncated Square is a line segment joining two opposite vertices of a Truncated Square.

STEP 1: Convert Input(s) to Base Unit

Side of Truncated Square: 10 Meter --> 10 Meter No Conversion Required
Diagonal of Truncated Square: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = sqrt(2)*(S+(sqrt(d^2-S^2)-S)/2) --> sqrt(2)*(10+(sqrt(18^2-10^2)-10)/2)

Evaluating ... ...

l = 17.6540730561238

STEP 3: Convert Result to Output's Unit

17.6540730561238 Meter --> No Conversion Required

FINAL ANSWER

17.6540730561238 ≈ 17.65407 Meter <-- Length of Truncated Square

(Calculation completed in 00.020 seconds)

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< Length of Truncated Square Calculators

Length of Truncated Square given Diagonal and Side

LaTeX Go Length of Truncated Square = sqrt(2)*(Side of Truncated Square+(sqrt(Diagonal of Truncated Square^2-Side of Truncated Square^2)-Side of Truncated Square)/2)

Length of Truncated Square given Area and Missing Length

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

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

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

Length of Truncated Square

LaTeX Go Length of Truncated Square = sqrt(2)*(Side of Truncated Square+Missing Length of Truncated Square)

Length of Truncated Square given Diagonal and Side Formula

LaTeX Go

Length of Truncated Square = sqrt(2)*(Side of Truncated Square+(sqrt(Diagonal of Truncated Square^2-Side of Truncated Square^2)-Side of Truncated Square)/2)
l = sqrt(2)*(S+(sqrt(d^2-S^2)-S)/2)

What is Truncated Square?

A Truncated Square, is 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 Length of Truncated Square given Diagonal and Side?

Length of Truncated Square given Diagonal and Side calculator uses Length of Truncated Square = sqrt(2)*(Side of Truncated Square+(sqrt(Diagonal of Truncated Square^2-Side of Truncated Square^2)-Side of Truncated Square)/2) to calculate the Length of Truncated Square, The Length of Truncated Square given Diagonal and Side formula is defined as the measurement or extent of the Truncated Square from end to end. Length of Truncated Square is denoted by l symbol.

How to calculate Length of Truncated Square given Diagonal and Side using this online calculator? To use this online calculator for Length of Truncated Square given Diagonal and Side, enter Side of Truncated Square (S) & Diagonal of Truncated Square (d) and hit the calculate button. Here is how the Length of Truncated Square given Diagonal and Side calculation can be explained with given input values -> 17.65407 = sqrt(2)*(10+(sqrt(18^2-10^2)-10)/2).

FAQ

What is Length of Truncated Square given Diagonal and Side?

The Length of Truncated Square given Diagonal and Side formula is defined as the measurement or extent of the Truncated Square from end to end and is represented as l = sqrt(2)*(S+(sqrt(d^2-S^2)-S)/2) or Length of Truncated Square = sqrt(2)*(Side of Truncated Square+(sqrt(Diagonal of Truncated Square^2-Side of Truncated Square^2)-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 & Diagonal of Truncated Square is a line segment joining two opposite vertices of a Truncated Square.

How to calculate Length of Truncated Square given Diagonal and Side?

The Length of Truncated Square given Diagonal and Side formula is defined as the measurement or extent of the Truncated Square from end to end is calculated using Length of Truncated Square = sqrt(2)*(Side of Truncated Square+(sqrt(Diagonal of Truncated Square^2-Side of Truncated Square^2)-Side of Truncated Square)/2). To calculate Length of Truncated Square given Diagonal and Side, you need Side of Truncated Square (S) & Diagonal of Truncated Square (d). With our tool, you need to enter the respective value for Side of Truncated Square & Diagonal 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 Length of Truncated Square?

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

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

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