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Long Diagonal of Heptagon given Short Diagonal Formula

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Long Diagonal of Heptagon is the straight line joining two non-adjacent vertices which is across three sides of the Heptagon. Check FAQs

d Long = \frac{\frac{d Short}{2 \cdot \cos (\frac{π}{7})}}{2 \cdot \sin (\frac{(\frac{π}{2})}{7})}

d_Long - Long Diagonal of Heptagon?d_Short - Short Diagonal of Heptagon?π - Archimedes' constant?

Long Diagonal of Heptagon given Short Diagonal Example

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

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

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

22.4456 = \frac{\frac{18}{2 \cdot \cos (\frac{3.1416}{7})}}{2 \cdot \sin (\frac{(\frac{3.1416}{2})}{7})}

22.4456m = \frac{\frac{18m}{2 \cdot \cos (\frac{3.1416}{7})}}{2 \cdot \sin (\frac{(\frac{3.1416}{2})}{7})}

22.4456 = \frac{\frac{18}{2 \cdot \cos (\frac{3.1416}{7})}}{2 \cdot \sin (\frac{(\frac{3.1416}{2})}{7})}

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Long Diagonal of Heptagon given Short Diagonal Solution

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

FIRST Step Consider the formula

d Long = \frac{\frac{d Short}{2 \cdot \cos (\frac{π}{7})}}{2 \cdot \sin (\frac{(\frac{π}{2})}{7})}

Next Step Substitute values of Variables

∴

d Long = \frac{\frac{18m}{2 \cdot \cos (\frac{π}{7})}}{2 \cdot \sin (\frac{(\frac{π}{2})}{7})}

Next Step Substitute values of Constants

∴

d Long = \frac{\frac{18m}{2 \cdot \cos (\frac{3.1416}{7})}}{2 \cdot \sin (\frac{(\frac{3.1416}{2})}{7})}

Next Step Prepare to Evaluate

∴

d Long = \frac{\frac{18}{2 \cdot \cos (\frac{3.1416}{7})}}{2 \cdot \sin (\frac{(\frac{3.1416}{2})}{7})}

Next Step Evaluate

∴

d Long = 22.4456328669144m

LAST Step Rounding Answer

∴

d Long = 22.4456m

Long Diagonal of Heptagon given Short Diagonal Formula Elements

Variables

Constants

Functions

Long Diagonal of Heptagon

Long Diagonal of Heptagon is the straight line joining two non-adjacent vertices which is across three sides of the Heptagon.

Symbol: d_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Diagonal of Heptagon

Short Diagonal of Heptagon

Short Diagonal of Heptagon is the length of the straight line joining two non-adjacent vertices across the two sides of the Heptagon.

Symbol: d_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Diagonal of Heptagon

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Long Diagonal of Heptagon

Go Long Diagonal of Heptagon

d Long = \frac{S}{2 \cdot \sin (\frac{(\frac{π}{2})}{7})}

Go Long Diagonal of Heptagon given Height

d Long = \frac{h \cdot \tan (\frac{(\frac{π}{2})}{7})}{\sin (\frac{(\frac{π}{2})}{7})}

Go Long Diagonal of Heptagon given Perimeter

d Long = \frac{\frac{P}{7}}{2 \cdot \sin (\frac{(\frac{π}{2})}{7})}

Go Long Diagonal of Heptagon given Circumradius

d Long = r c \cdot \frac{\sin (\frac{π}{7})}{\sin (\frac{(\frac{π}{2})}{7})}

How to Evaluate Long Diagonal of Heptagon given Short Diagonal?

Long Diagonal of Heptagon given Short Diagonal evaluator uses Long Diagonal of Heptagon = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*sin(((pi/2))/7)) to evaluate the Long Diagonal of Heptagon, The Long Diagonal of Heptagon given Short Diagonal formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the three sides, calculated using a short diagonal. Long Diagonal of Heptagon is denoted by d_Long symbol.

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

FAQs on Long Diagonal of Heptagon given Short Diagonal

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

The formula of Long Diagonal of Heptagon given Short Diagonal is expressed as Long Diagonal of Heptagon = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*sin(((pi/2))/7)). Here is an example- 22.44563 = (18/(2*cos(pi/7)))/(2*sin(((pi/2))/7)).

How to calculate Long Diagonal of Heptagon given Short Diagonal?

With Short Diagonal of Heptagon (d_Short) we can find Long Diagonal of Heptagon given Short Diagonal using the formula - Long Diagonal of Heptagon = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*sin(((pi/2))/7)). This formula also uses Archimedes' constant and , Sine (sin), Cosine (cos) function(s).

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

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

Long Diagonal of Heptagon=Side of Heptagon/(2*sin(((pi/2))/7))
Long Diagonal of Heptagon=(Height of Heptagon*tan(((pi/2))/7))/sin(((pi/2))/7)
Long Diagonal of Heptagon=(Perimeter of Heptagon/7)/(2*sin(((pi/2))/7))

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

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

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

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

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