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Height of Heptagon given Width Formula

GoHeight of Heptagon Formula

GoHeight of Heptagon given Perimeter 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 = w \cdot \frac{\sin (\frac{(\frac{π}{2})}{7})}{\tan (\frac{(\frac{π}{2})}{7})}

h - Height of Heptagon?w - Width of Heptagon?π - Archimedes' constant?

Height of Heptagon given Width Example

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

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

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

22.4233 = 23 \cdot \frac{\sin (\frac{(\frac{3.1416}{2})}{7})}{\tan (\frac{(\frac{3.1416}{2})}{7})}

22.4233m = 23m \cdot \frac{\sin (\frac{(\frac{3.1416}{2})}{7})}{\tan (\frac{(\frac{3.1416}{2})}{7})}

22.4233 = 23 \cdot \frac{\sin (\frac{(\frac{3.1416}{2})}{7})}{\tan (\frac{(\frac{3.1416}{2})}{7})}

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Height of Heptagon given Width Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = 23m \cdot \frac{\sin (\frac{(\frac{π}{2})}{7})}{\tan (\frac{(\frac{π}{2})}{7})}

Next Step Substitute values of Constants

∴

h = 23m \cdot \frac{\sin (\frac{(\frac{3.1416}{2})}{7})}{\tan (\frac{(\frac{3.1416}{2})}{7})}

Next Step Prepare to Evaluate

∴

h = 23 \cdot \frac{\sin (\frac{(\frac{3.1416}{2})}{7})}{\tan (\frac{(\frac{3.1416}{2})}{7})}

Next Step Evaluate

∴

h = 22.4233419801819m

LAST Step Rounding Answer

∴

h = 22.4233m

Height of Heptagon given Width 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

Width of Heptagon

The Width of Heptagon is the horizontal distance from the left most edge to the right most edge of the Regular Heptagon.

Symbol: w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width 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 Height of Heptagon

Go Height of Heptagon

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

Go Height of Heptagon given Perimeter

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

How to Evaluate Height of Heptagon given Width?

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

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

FAQs on Height of Heptagon given Width

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

The formula of Height of Heptagon given Width is expressed as Height of Heptagon = Width of Heptagon*sin(((pi/2))/7)/tan(((pi/2))/7). Here is an example- 22.42334 = 23*sin(((pi/2))/7)/tan(((pi/2))/7).

How to calculate Height of Heptagon given Width?

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

Can the Height of Heptagon given Width be negative?

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

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

Height of Heptagon given Width 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 Width can be measured.

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