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Long Diagonal of Octagon given Short 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{2} \cdot d Short

d_Long - Long Diagonal of Octagon?d_Short - Short Diagonal of Octagon?

Long Diagonal of Octagon given Short Diagonal Example

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

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

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

25.4558 = \sqrt{2} \cdot 18

25.4558m = \sqrt{2} \cdot 18m

25.4558 = \sqrt{2} \cdot 18

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Long Diagonal of Octagon given Short Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Long = \sqrt{2} \cdot 18m

Next Step Prepare to Evaluate

∴

d Long = \sqrt{2} \cdot 18

Next Step Evaluate

∴

d Long = 25.4558441227157m

LAST Step Rounding Answer

∴

d Long = 25.4558m

Long Diagonal of Octagon given Short Diagonal 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

Short Diagonal of Octagon

The Short Diagonal of Octagon is the length of smallest diagonals or the line joining a vertex and any one of the vertices that coming next to the adjacent vertices of the first vertex of the Octagon.

Symbol: d_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Diagonal 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 Height

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

Go Long Diagonal of Octagon given Perimeter

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

How to Evaluate Long Diagonal of Octagon given Short Diagonal?

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

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

FAQs on Long Diagonal of Octagon given Short Diagonal

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

The formula of Long Diagonal of Octagon given Short Diagonal is expressed as Long Diagonal of Octagon = sqrt(2)*Short Diagonal of Octagon. Here is an example- 25.45584 = sqrt(2)*18.

How to calculate Long Diagonal of Octagon given Short Diagonal?

With Short Diagonal of Octagon (d_Short) we can find Long Diagonal of Octagon given Short Diagonal using the formula - Long Diagonal of Octagon = sqrt(2)*Short Diagonal of Octagon. 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(4-(2*sqrt(2)))*Height of Octagon

Can the Long Diagonal of Octagon given Short Diagonal be negative?

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

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

Long Diagonal of Octagon given Short Diagonal 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 Short Diagonal can be measured.

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