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Short Diagonal of Heptagon given Height Formula

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GoShort Diagonal of Heptagon given Long Diagonal Formula

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

d Short = 4 \cdot h \cdot \tan (\frac{(\frac{π}{2})}{7}) \cdot \cos (\frac{π}{7})

d_Short - Short Diagonal of Heptagon?h - Height of Heptagon?π - Archimedes' constant?

Short Diagonal of Heptagon given Height Example

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

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

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

18.0963 = 4 \cdot 22 \cdot \tan (\frac{(\frac{3.1416}{2})}{7}) \cdot \cos (\frac{3.1416}{7})

18.0963m = 4 \cdot 22m \cdot \tan (\frac{(\frac{3.1416}{2})}{7}) \cdot \cos (\frac{3.1416}{7})

18.0963 = 4 \cdot 22 \cdot \tan (\frac{(\frac{3.1416}{2})}{7}) \cdot \cos (\frac{3.1416}{7})

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Short Diagonal of Heptagon given Height Solution

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

FIRST Step Consider the formula

d Short = 4 \cdot h \cdot \tan (\frac{(\frac{π}{2})}{7}) \cdot \cos (\frac{π}{7})

Next Step Substitute values of Variables

∴

d Short = 4 \cdot 22m \cdot \tan (\frac{(\frac{π}{2})}{7}) \cdot \cos (\frac{π}{7})

Next Step Substitute values of Constants

∴

d Short = 4 \cdot 22m \cdot \tan (\frac{(\frac{3.1416}{2})}{7}) \cdot \cos (\frac{3.1416}{7})

Next Step Prepare to Evaluate

∴

d Short = 4 \cdot 22 \cdot \tan (\frac{(\frac{3.1416}{2})}{7}) \cdot \cos (\frac{3.1416}{7})

Next Step Evaluate

∴

d Short = 18.0963432960119m

LAST Step Rounding Answer

∴

d Short = 18.0963m

Short Diagonal of Heptagon given Height Formula Elements

Variables

Constants

Functions

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

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

cos

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

Syntax: cos(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 Short Diagonal of Heptagon

Go Short Diagonal of Heptagon

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

Go Short Diagonal of Heptagon given Long Diagonal

d Short = 4 \cdot d Long \cdot \sin (\frac{(\frac{π}{2})}{7}) \cdot \cos (\frac{π}{7})

Go Short Diagonal of Heptagon given Perimeter

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

Go Short Diagonal of Heptagon given Circumradius

d Short = 4 \cdot r c \cdot \sin (\frac{π}{7}) \cdot \cos (\frac{π}{7})

How to Evaluate Short Diagonal of Heptagon given Height?

Short Diagonal of Heptagon given Height evaluator uses Short Diagonal of Heptagon = 4*Height of Heptagon*tan(((pi/2))/7)*cos(pi/7) to evaluate the Short Diagonal of Heptagon, The Short Diagonal of Heptagon given Height formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the two sides, calculated using height. Short Diagonal of Heptagon is denoted by d_Short symbol.

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

FAQs on Short Diagonal of Heptagon given Height

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

The formula of Short Diagonal of Heptagon given Height is expressed as Short Diagonal of Heptagon = 4*Height of Heptagon*tan(((pi/2))/7)*cos(pi/7). Here is an example- 18.09634 = 4*22*tan(((pi/2))/7)*cos(pi/7).

How to calculate Short Diagonal of Heptagon given Height?

With Height of Heptagon (h) we can find Short Diagonal of Heptagon given Height using the formula - Short Diagonal of Heptagon = 4*Height of Heptagon*tan(((pi/2))/7)*cos(pi/7). This formula also uses Archimedes' constant and , Cosine, Tangent function(s).

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

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

Short Diagonal of Heptagon=2*Side of Heptagon*cos(pi/7)
Short Diagonal of Heptagon=4*Long Diagonal of Heptagon*sin(((pi/2))/7)*cos(pi/7)
Short Diagonal of Heptagon=2*(Perimeter of Heptagon/7)*cos(pi/7)

Can the Short Diagonal of Heptagon given Height be negative?

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

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

Short 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 Short Diagonal of Heptagon given Height can be measured.

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