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Width of Heptagon given Height Formula

GoWidth of Heptagon Formula

GoWidth of Heptagon given Circumradius Formula

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

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

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

Width of Heptagon given Height Example

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

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

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

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

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

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

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Width of Heptagon given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

w = 22.5657709919962m

LAST Step Rounding Answer

∴

w = 22.5658m

Width of Heptagon given Height Formula Elements

Variables

Constants

Functions

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

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 Width of Heptagon

Go Width of Heptagon

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

Go Width of Heptagon given Circumradius

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

Go Width of Heptagon given Inradius

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

Go Width of Heptagon given Area

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

How to Evaluate Width of Heptagon given Height?

Width of Heptagon given Height evaluator uses Width of Heptagon = Height of Heptagon*tan(((pi/2))/7)/sin(((pi/2))/7) to evaluate the Width of Heptagon, The Width of Heptagon given Height formula is defined as the horizontal distance from the left-most edge to the right-most edge of the Regular Heptagon, and is calculated using the height of the Heptagon. Width of Heptagon is denoted by w symbol.

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

FAQs on Width of Heptagon given Height

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

The formula of Width of Heptagon given Height is expressed as Width 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 Width of Heptagon given Height?

With Height of Heptagon (h) we can find Width of Heptagon given Height using the formula - Width 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 Width of Heptagon?

Here are the different ways to Calculate Width of Heptagon-

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

Can the Width of Heptagon given Height be negative?

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

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

Width 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 Width of Heptagon given Height can be measured.

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