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Height of Heptagon given Area 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{\sqrt{\frac{4 \cdot A \cdot \tan (\frac{π}{7})}{7}}}{2 \cdot \tan (\frac{(\frac{π}{2})}{7})}

h - Height of Heptagon?A - Area of Heptagon?π - Archimedes' constant?

Height of Heptagon given Area Example

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

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

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

21.9549 = \frac{\sqrt{\frac{4 \cdot 365 \cdot \tan (\frac{3.1416}{7})}{7}}}{2 \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}

21.9549m = \frac{\sqrt{\frac{4 \cdot 365m² \cdot \tan (\frac{3.1416}{7})}{7}}}{2 \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}

21.9549 = \frac{\sqrt{\frac{4 \cdot 365 \cdot \tan (\frac{3.1416}{7})}{7}}}{2 \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}

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Height of Heptagon given Area Solution

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

FIRST Step Consider the formula

h = \frac{\sqrt{\frac{4 \cdot A \cdot \tan (\frac{π}{7})}{7}}}{2 \cdot \tan (\frac{(\frac{π}{2})}{7})}

Next Step Substitute values of Variables

∴

h = \frac{\sqrt{\frac{4 \cdot 365m² \cdot \tan (\frac{π}{7})}{7}}}{2 \cdot \tan (\frac{(\frac{π}{2})}{7})}

Next Step Substitute values of Constants

∴

h = \frac{\sqrt{\frac{4 \cdot 365m² \cdot \tan (\frac{3.1416}{7})}{7}}}{2 \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}

Next Step Prepare to Evaluate

∴

h = \frac{\sqrt{\frac{4 \cdot 365 \cdot \tan (\frac{3.1416}{7})}{7}}}{2 \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}

Next Step Evaluate

∴

h = 21.9548683542436m

LAST Step Rounding Answer

∴

h = 21.9549m

Height of Heptagon given Area 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

Area of Heptagon

The Area of Heptagon is the amount of two-dimensional space taken up by the Heptagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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

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)

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 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 Area?

Height of Heptagon given Area evaluator uses Height of Heptagon = sqrt((4*Area of Heptagon*tan(pi/7))/7)/(2*tan(((pi/2))/7)) to evaluate the Height of Heptagon, The Height of Heptagon given Area formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side, calculated using area. Height of Heptagon is denoted by h symbol.

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

FAQs on Height of Heptagon given Area

What is the formula to find Height of Heptagon given Area?

The formula of Height of Heptagon given Area is expressed as Height of Heptagon = sqrt((4*Area of Heptagon*tan(pi/7))/7)/(2*tan(((pi/2))/7)). Here is an example- 21.95487 = sqrt((4*365*tan(pi/7))/7)/(2*tan(((pi/2))/7)).

How to calculate Height of Heptagon given Area?

With Area of Heptagon (A) we can find Height of Heptagon given Area using the formula - Height of Heptagon = sqrt((4*Area of Heptagon*tan(pi/7))/7)/(2*tan(((pi/2))/7)). This formula also uses Archimedes' constant and , Tangent (tan), Square Root (sqrt) 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 Area be negative?

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

Which unit is used to measure Height of Heptagon given Area?

Height of Heptagon given Area 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 Area can be measured.

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