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Height of Heptagon given Short Diagonal Formula

GoHeight of Heptagon given Circumradius Formula

GoHeight of Heptagon given Inradius Formula

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

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

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

Height of Heptagon given Short Diagonal Example

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

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

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

21.8829 = \frac{\frac{18}{2 \cdot \cos (\frac{3.1416}{7})}}{2 \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}

21.8829m = \frac{\frac{18m}{2 \cdot \cos (\frac{3.1416}{7})}}{2 \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}

21.8829 = \frac{\frac{18}{2 \cdot \cos (\frac{3.1416}{7})}}{2 \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}

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Height of Heptagon given Short Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{\frac{18m}{2 \cdot \cos (\frac{π}{7})}}{2 \cdot \tan (\frac{(\frac{π}{2})}{7})}

Next Step Substitute values of Constants

∴

h = \frac{\frac{18m}{2 \cdot \cos (\frac{3.1416}{7})}}{2 \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}

Next Step Prepare to Evaluate

∴

h = \frac{\frac{18}{2 \cdot \cos (\frac{3.1416}{7})}}{2 \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}

Next Step Evaluate

∴

h = 21.8828739885406m

LAST Step Rounding Answer

∴

h = 21.8829m

Height of Heptagon given Short Diagonal Formula Elements

Variables

Constants

Functions

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

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

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 Height of Heptagon

Go Height of Heptagon given Circumradius

h = \frac{r c \cdot 2 \cdot \sin (\frac{π}{7})}{2 \cdot \tan (\frac{(\frac{π}{2})}{7})}

Go Height of Heptagon given Inradius

h = r i \cdot \frac{\tan (\frac{π}{7})}{\tan (\frac{(\frac{π}{2})}{7})}

Go Height of Heptagon

h = \frac{S}{2 \cdot \tan (\frac{(\frac{π}{2})}{7})}

Go Height of Heptagon given Long Diagonal

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

How to Evaluate Height of Heptagon given Short Diagonal?

Height of Heptagon given Short Diagonal evaluator uses Height of Heptagon = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*tan(((pi/2))/7)) to evaluate the Height of Heptagon, The Height of Heptagon given Short Diagonal formula is defined as the measurement of the length of a perpendicular line drawn from one vertex to the opposite side, calculated using a short diagonal. Height of Heptagon is denoted by h symbol.

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

FAQs on Height of Heptagon given Short Diagonal

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

The formula of Height of Heptagon given Short Diagonal is expressed as Height of Heptagon = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*tan(((pi/2))/7)). Here is an example- 21.88287 = (18/(2*cos(pi/7)))/(2*tan(((pi/2))/7)).

How to calculate Height of Heptagon given Short Diagonal?

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

What are the other ways to Calculate Height of Heptagon?

Here are the different ways to Calculate Height of Heptagon-

Height of Heptagon=(Circumradius of Heptagon*2*sin(pi/7))/(2*tan(((pi/2))/7))
Height of Heptagon=Inradius of Heptagon*(tan(pi/7))/(tan(((pi/2))/7))
Height of Heptagon=Side of Heptagon/(2*tan(((pi/2))/7))

Can the Height of Heptagon given Short Diagonal be negative?

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

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

Height 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 Height of Heptagon given Short Diagonal can be measured.

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