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Width of Heptagon given Short Diagonal 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{d Short}{4 \cdot \sin (\frac{(\frac{π}{2})}{7}) \cdot \cos (\frac{π}{7})}

w - Width of Heptagon?d_Short - Short Diagonal of Heptagon?π - Archimedes' constant?

Width of Heptagon given Short Diagonal Example

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

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

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

22.4456 = \frac{18}{4 \cdot \sin (\frac{(\frac{3.1416}{2})}{7}) \cdot \cos (\frac{3.1416}{7})}

22.4456m = \frac{18m}{4 \cdot \sin (\frac{(\frac{3.1416}{2})}{7}) \cdot \cos (\frac{3.1416}{7})}

22.4456 = \frac{18}{4 \cdot \sin (\frac{(\frac{3.1416}{2})}{7}) \cdot \cos (\frac{3.1416}{7})}

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Width of Heptagon given Short Diagonal Solution

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

FIRST Step Consider the formula

w = \frac{d Short}{4 \cdot \sin (\frac{(\frac{π}{2})}{7}) \cdot \cos (\frac{π}{7})}

Next Step Substitute values of Variables

∴

w = \frac{18m}{4 \cdot \sin (\frac{(\frac{π}{2})}{7}) \cdot \cos (\frac{π}{7})}

Next Step Substitute values of Constants

∴

w = \frac{18m}{4 \cdot \sin (\frac{(\frac{3.1416}{2})}{7}) \cdot \cos (\frac{3.1416}{7})}

Next Step Prepare to Evaluate

∴

w = \frac{18}{4 \cdot \sin (\frac{(\frac{3.1416}{2})}{7}) \cdot \cos (\frac{3.1416}{7})}

Next Step Evaluate

∴

w = 22.4456328669144m

LAST Step Rounding Answer

∴

w = 22.4456m

Width of Heptagon given Short Diagonal 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

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

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)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(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 Short Diagonal?

Width of Heptagon given Short Diagonal evaluator uses Width of Heptagon = Short Diagonal of Heptagon/(4*sin(((pi/2))/7)*cos(pi/7)) to evaluate the Width of Heptagon, The Width of Heptagon given Short Diagonal 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 short diagonal of the Heptagon. Width of Heptagon is denoted by w symbol.

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

FAQs on Width of Heptagon given Short Diagonal

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

The formula of Width of Heptagon given Short Diagonal is expressed as Width of Heptagon = Short Diagonal of Heptagon/(4*sin(((pi/2))/7)*cos(pi/7)). Here is an example- 22.44563 = 18/(4*sin(((pi/2))/7)*cos(pi/7)).

How to calculate Width of Heptagon given Short Diagonal?

With Short Diagonal of Heptagon (d_Short) we can find Width of Heptagon given Short Diagonal using the formula - Width of Heptagon = Short Diagonal of Heptagon/(4*sin(((pi/2))/7)*cos(pi/7)). This formula also uses Archimedes' constant and , Sine (sin), Cosine (cos) 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 Short Diagonal be negative?

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

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

Width 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 Width of Heptagon given Short Diagonal can be measured.

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