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Width of Heptagon given Area Formula

GoWidth of Heptagon Formula

GoWidth of Heptagon given Perimeter 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 = \frac{\sqrt{\frac{4 \cdot \tan (\frac{π}{7})}{7} \cdot A}}{2 \cdot \sin (\frac{(\frac{π}{2})}{7})}

w - Width of Heptagon?A - Area of Heptagon?π - Archimedes' constant?

Width of Heptagon given Area Example

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

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

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

22.5195 = \frac{\sqrt{\frac{4 \cdot \tan (\frac{3.1416}{7})}{7} \cdot 365}}{2 \cdot \sin (\frac{(\frac{3.1416}{2})}{7})}

22.5195m = \frac{\sqrt{\frac{4 \cdot \tan (\frac{3.1416}{7})}{7} \cdot 365m²}}{2 \cdot \sin (\frac{(\frac{3.1416}{2})}{7})}

22.5195 = \frac{\sqrt{\frac{4 \cdot \tan (\frac{3.1416}{7})}{7} \cdot 365}}{2 \cdot \sin (\frac{(\frac{3.1416}{2})}{7})}

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Width of Heptagon given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

w = 22.5194787018766m

LAST Step Rounding Answer

∴

w = 22.5195m

Width of Heptagon given Area 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

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

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)

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 Width of Heptagon

Go Width of Heptagon

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

Go Width of Heptagon given Perimeter

w = \frac{P}{14 \cdot \sin (\frac{(\frac{π}{2})}{7})}

How to Evaluate Width of Heptagon given Area?

Width of Heptagon given Area evaluator uses Width of Heptagon = sqrt((4*tan(pi/7))/7*Area of Heptagon)/(2*sin(((pi/2))/7)) to evaluate the Width of Heptagon, The Width of Heptagon given Area 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 area of the Heptagon. Width of Heptagon is denoted by w symbol.

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

FAQs on Width of Heptagon given Area

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

The formula of Width of Heptagon given Area is expressed as Width of Heptagon = sqrt((4*tan(pi/7))/7*Area of Heptagon)/(2*sin(((pi/2))/7)). Here is an example- 22.51948 = sqrt((4*tan(pi/7))/7*365)/(2*sin(((pi/2))/7)).

How to calculate Width of Heptagon given Area?

With Area of Heptagon (A) we can find Width of Heptagon given Area using the formula - Width of Heptagon = sqrt((4*tan(pi/7))/7*Area of Heptagon)/(2*sin(((pi/2))/7)). This formula also uses Archimedes' constant and , Sine (sin), Tangent (tan), Square Root (sqrt) 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=Perimeter of Heptagon/(14*sin(((pi/2))/7))

Can the Width of Heptagon given Area be negative?

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

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

Width 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 Width of Heptagon given Area can be measured.

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