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Long Diagonal of Octagon given Perimeter Formula

GoLong Diagonal of Octagon Formula

GoLong Diagonal of Octagon given Medium Diagonal Formula

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The Long Diagonal of Octagon is the length of longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon. Check FAQs

d Long = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot \frac{P}{8}

d_Long - Long Diagonal of Octagon?P - Perimeter of Octagon?

Long Diagonal of Octagon given Perimeter Example

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With units

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Here is how the Long Diagonal of Octagon given Perimeter equation looks like with Values.

Here is how the Long Diagonal of Octagon given Perimeter equation looks like with Units.

Here is how the Long Diagonal of Octagon given Perimeter equation looks like.

26.1313 = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot \frac{80}{8}

26.1313m = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot \frac{80m}{8}

26.1313 = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot \frac{80}{8}

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Long Diagonal of Octagon given Perimeter Solution

Follow our step by step solution on how to calculate Long Diagonal of Octagon given Perimeter?

FIRST Step Consider the formula

d Long = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot \frac{P}{8}

Next Step Substitute values of Variables

∴

d Long = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot \frac{80m}{8}

Next Step Prepare to Evaluate

∴

d Long = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot \frac{80}{8}

Next Step Evaluate

∴

d Long = 26.1312592975275m

LAST Step Rounding Answer

∴

d Long = 26.1313m

Long Diagonal of Octagon given Perimeter Formula Elements

Variables

Functions

Long Diagonal of Octagon

The Long Diagonal of Octagon is the length of longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon.

Symbol: d_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Diagonal of Octagon

Perimeter of Octagon

The Perimeter of Octagon is the total length of all the boundary lines of the Regular Octagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Octagon

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.

Syntax: sqrt(Number)

Other Formulas to find Long Diagonal of Octagon

Go Long Diagonal of Octagon

d Long = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot l e

Go Long Diagonal of Octagon given Medium Diagonal

d Long = \sqrt{4 - (2 \cdot \sqrt{2})} \cdot d Medium

Go Long Diagonal of Octagon given Short Diagonal

d Long = \sqrt{2} \cdot d Short

Go Long Diagonal of Octagon given Height

d Long = \sqrt{4 - (2 \cdot \sqrt{2})} \cdot h

How to Evaluate Long Diagonal of Octagon given Perimeter?

Long Diagonal of Octagon given Perimeter evaluator uses Long Diagonal of Octagon = sqrt(4+(2*sqrt(2)))*Perimeter of Octagon/8 to evaluate the Long Diagonal of Octagon, The Long Diagonal of Octagon given Perimeter formula is defined as the length of the longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon and calculated using the perimeter of the Octagon. Long Diagonal of Octagon is denoted by d_Long symbol.

How to evaluate Long Diagonal of Octagon given Perimeter using this online evaluator? To use this online evaluator for Long Diagonal of Octagon given Perimeter, enter Perimeter of Octagon (P) and hit the calculate button.

FAQs on Long Diagonal of Octagon given Perimeter

What is the formula to find Long Diagonal of Octagon given Perimeter?

The formula of Long Diagonal of Octagon given Perimeter is expressed as Long Diagonal of Octagon = sqrt(4+(2*sqrt(2)))*Perimeter of Octagon/8. Here is an example- 26.13126 = sqrt(4+(2*sqrt(2)))*80/8.

How to calculate Long Diagonal of Octagon given Perimeter?

With Perimeter of Octagon (P) we can find Long Diagonal of Octagon given Perimeter using the formula - Long Diagonal of Octagon = sqrt(4+(2*sqrt(2)))*Perimeter of Octagon/8. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Long Diagonal of Octagon?

Here are the different ways to Calculate Long Diagonal of Octagon-

Long Diagonal of Octagon=sqrt(4+(2*sqrt(2)))*Edge Length of Octagon
Long Diagonal of Octagon=sqrt(4-(2*sqrt(2)))*Medium Diagonal of Octagon
Long Diagonal of Octagon=sqrt(2)*Short Diagonal of Octagon

Can the Long Diagonal of Octagon given Perimeter be negative?

No, the Long Diagonal of Octagon given Perimeter, measured in Length cannot be negative.

Which unit is used to measure Long Diagonal of Octagon given Perimeter?

Long Diagonal of Octagon given Perimeter is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Long Diagonal of Octagon given Perimeter can be measured.

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