FormulaDen.com

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

Area of Heptagon given Circumradius 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{{(2 \cdot r c \cdot \sin (\frac{π}{7}))}^{2}}{\tan (\frac{π}{7})}

A - Area of Heptagon?r_c - Circumradius of Heptagon?π - Archimedes' constant?

Area of Heptagon given Circumradius Example

With values

With units

Only example

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

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

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

394.0431 = \frac{7}{4} \cdot \frac{{(2 \cdot 12 \cdot \sin (\frac{3.1416}{7}))}^{2}}{\tan (\frac{3.1416}{7})}

394.0431m² = \frac{7}{4} \cdot \frac{{(2 \cdot 12m \cdot \sin (\frac{3.1416}{7}))}^{2}}{\tan (\frac{3.1416}{7})}

394.0431 = \frac{7}{4} \cdot \frac{{(2 \cdot 12 \cdot \sin (\frac{3.1416}{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 Circumradius

Area of Heptagon given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{7}{4} \cdot \frac{{(2 \cdot 12m \cdot \sin (\frac{π}{7}))}^{2}}{\tan (\frac{π}{7})}

Next Step Substitute values of Constants

∴

A = \frac{7}{4} \cdot \frac{{(2 \cdot 12m \cdot \sin (\frac{3.1416}{7}))}^{2}}{\tan (\frac{3.1416}{7})}

Next Step Prepare to Evaluate

∴

A = \frac{7}{4} \cdot \frac{{(2 \cdot 12 \cdot \sin (\frac{3.1416}{7}))}^{2}}{\tan (\frac{3.1416}{7})}

Next Step Evaluate

∴

A = 394.043067163887m²

LAST Step Rounding Answer

∴

A = 394.0431m²

Area of Heptagon given Circumradius 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

Circumradius of Heptagon

Circumradius of Heptagon is the radius of a circumcircle touching each of the vertices of Heptagon.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius 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 Circumradius?

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

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

FAQs on Area of Heptagon given Circumradius

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

The formula of Area of Heptagon given Circumradius is expressed as Area of Heptagon = 7/4*(2*Circumradius of Heptagon*sin(pi/7))^2/tan(pi/7). Here is an example- 394.0431 = 7/4*(2*12*sin(pi/7))^2/tan(pi/7).

How to calculate Area of Heptagon given Circumradius?

With Circumradius of Heptagon (r_c) we can find Area of Heptagon given Circumradius using the formula - Area of Heptagon = 7/4*(2*Circumradius of Heptagon*sin(pi/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 Circumradius be negative?

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

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

Area of Heptagon given Circumradius 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 Circumradius can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit