FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Area of Heptagon given Width Formula

GoArea of Heptagon given Long Diagonal Formula

GoArea of Heptagon given Short Diagonal Formula

Fx Copy

LaTeX Copy

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

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

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

Area of Heptagon given Width Example

With values

With units

Only example

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

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

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

380.743 = \frac{7}{4} \cdot \frac{{(23 \cdot 2 \cdot \sin (\frac{(\frac{3.1416}{2})}{7}))}^{2}}{\tan (\frac{3.1416}{7})}

380.743m² = \frac{7}{4} \cdot \frac{{(23m \cdot 2 \cdot \sin (\frac{(\frac{3.1416}{2})}{7}))}^{2}}{\tan (\frac{3.1416}{7})}

380.743 = \frac{7}{4} \cdot \frac{{(23 \cdot 2 \cdot \sin (\frac{(\frac{3.1416}{2})}{7}))}^{2}}{\tan (\frac{3.1416}{7})}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Area of Heptagon given Width

Area of Heptagon given Width Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{7}{4} \cdot \frac{{(23m \cdot 2 \cdot \sin (\frac{(\frac{π}{2})}{7}))}^{2}}{\tan (\frac{π}{7})}

Next Step Substitute values of Constants

∴

A = \frac{7}{4} \cdot \frac{{(23m \cdot 2 \cdot \sin (\frac{(\frac{3.1416}{2})}{7}))}^{2}}{\tan (\frac{3.1416}{7})}

Next Step Prepare to Evaluate

∴

A = \frac{7}{4} \cdot \frac{{(23 \cdot 2 \cdot \sin (\frac{(\frac{3.1416}{2})}{7}))}^{2}}{\tan (\frac{3.1416}{7})}

Next Step Evaluate

∴

A = 380.742950142796m²

LAST Step Rounding Answer

∴

A = 380.743m²

Area of Heptagon given Width Formula Elements

Variables

Constants

Functions

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

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 Area of Heptagon

Go Area of Heptagon given Long Diagonal

A = \frac{7}{4} \cdot \frac{{(d Long \cdot 2 \cdot \sin (\frac{(\frac{π}{2})}{7}))}^{2}}{\tan (\frac{π}{7})}

Go Area of Heptagon given Short Diagonal

A = \frac{7}{4} \cdot \frac{{(\frac{d Short}{2 \cdot \cos (\frac{π}{7})})}^{2}}{\tan (\frac{π}{7})}

Go Area of Heptagon given Height

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

Go Area of Heptagon given Perimeter

A = \frac{7}{4} \cdot \frac{{(\frac{P}{7})}^{2}}{\tan (\frac{π}{7})}

Other formulas in Area of Heptagon category

Go Area of Triangle of Heptagon given Inradius

A Triangle = \frac{1}{2} \cdot S \cdot r i

How to Evaluate Area of Heptagon given Width?

Area of Heptagon given Width evaluator uses Area of Heptagon = 7/4*((Width of Heptagon*2*sin(((pi/2))/7))^2)/tan(pi/7) to evaluate the Area of Heptagon, The Area of Heptagon given Width formula is defined as the amount of space occupied by the surface inside the Heptagon, calculated using its width. Area of Heptagon is denoted by A symbol.

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

FAQs on Area of Heptagon given Width

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

The formula of Area of Heptagon given Width is expressed as Area of Heptagon = 7/4*((Width of Heptagon*2*sin(((pi/2))/7))^2)/tan(pi/7). Here is an example- 380.743 = 7/4*((23*2*sin(((pi/2))/7))^2)/tan(pi/7).

How to calculate Area of Heptagon given Width?

With Width of Heptagon (w) we can find Area of Heptagon given Width using the formula - Area of Heptagon = 7/4*((Width of Heptagon*2*sin(((pi/2))/7))^2)/tan(pi/7). This formula also uses Archimedes' constant and , Sine (sin), Tangent (tan) function(s).

What are the other ways to Calculate Area of Heptagon?

Here are the different ways to Calculate Area of Heptagon-

Area of Heptagon=7/4*((Long Diagonal of Heptagon*2*sin(((pi/2))/7))^2)/tan(pi/7)
Area of Heptagon=7/4*((Short Diagonal of Heptagon/(2*cos(pi/7)))^2)/tan(pi/7)
Area of Heptagon=7/4*((2*Height of Heptagon*tan(((pi/2))/7))^2)/tan(pi/7)

Can the Area of Heptagon given Width be negative?

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

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

Area of Heptagon given Width is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Heptagon given Width can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit