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Long Diagonal of Heptagon given Height Formula

GoLong Diagonal of Heptagon Formula

GoLong 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{h \cdot \tan (\frac{(\frac{π}{2})}{7})}{\sin (\frac{(\frac{π}{2})}{7})}

d_Long - Long Diagonal of Heptagon?h - Height of Heptagon?π - Archimedes' constant?

Long Diagonal of Heptagon given Height Example

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

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

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

22.5658 = \frac{22 \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}{\sin (\frac{(\frac{3.1416}{2})}{7})}

22.5658m = \frac{22m \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}{\sin (\frac{(\frac{3.1416}{2})}{7})}

22.5658 = \frac{22 \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}{\sin (\frac{(\frac{3.1416}{2})}{7})}

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Long Diagonal of Heptagon given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Long = \frac{22m \cdot \tan (\frac{(\frac{π}{2})}{7})}{\sin (\frac{(\frac{π}{2})}{7})}

Next Step Substitute values of Constants

∴

d Long = \frac{22m \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}{\sin (\frac{(\frac{3.1416}{2})}{7})}

Next Step Prepare to Evaluate

∴

d Long = \frac{22 \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}{\sin (\frac{(\frac{3.1416}{2})}{7})}

Next Step Evaluate

∴

d Long = 22.5657709919962m

LAST Step Rounding Answer

∴

d Long = 22.5658m

Long Diagonal of Heptagon given Height 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

Height of Heptagon

Height of Heptagon is the length of a perpendicular line drawn from one vertex to the opposite side.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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)

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(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 Short Diagonal

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

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

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

FAQs on Long Diagonal of Heptagon given Height

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

The formula of Long Diagonal of Heptagon given Height is expressed as Long Diagonal of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/sin(((pi/2))/7). Here is an example- 22.56577 = (22*tan(((pi/2))/7))/sin(((pi/2))/7).

How to calculate Long Diagonal of Heptagon given Height?

With Height of Heptagon (h) we can find Long Diagonal of Heptagon given Height using the formula - Long Diagonal of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/sin(((pi/2))/7). This formula also uses Archimedes' constant and , Sine (sin), Tangent (tan) 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=(Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*sin(((pi/2))/7))
Long Diagonal of Heptagon=(Perimeter of Heptagon/7)/(2*sin(((pi/2))/7))

Can the Long Diagonal of Heptagon given Height be negative?

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

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

Long Diagonal of Heptagon given Height 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 Height can be measured.

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