Area of Heptagon given Long Diagonal Calculator

✖Long Diagonal of Heptagon is the straight line joining two non-adjacent vertices which is across three sides of the Heptagon.ⓘ Long Diagonal of Heptagon [d_Long]

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✖The Area of Heptagon is the amount of two-dimensional space taken up by the Heptagon.ⓘ Area of Heptagon given Long Diagonal [A]

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Formula

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Area of Heptagon given Long Diagonal

Formula

`"A" = 7/4*(("d"_{"Long"}*2*sin(((pi/2))/7))^2)/tan(pi/7)`

Example

`"380.743m²"=7/4*(("23m"*2*sin(((pi/2))/7))^2)/tan(pi/7)`

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Area of Heptagon given Long Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Heptagon = 7/4*((Long Diagonal of Heptagon*2*sin(((pi/2))/7))^2)/tan(pi/7)
A = 7/4*((d_Long*2*sin(((pi/2))/7))^2)/tan(pi/7)
This formula uses 1 Constants, 2 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., 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., tan(Angle)

Variables Used

Area of Heptagon - (Measured in Square Meter) - The Area of Heptagon is the amount of two-dimensional space taken up by the Heptagon.
Long Diagonal of Heptagon - (Measured in Meter) - Long Diagonal of Heptagon is the straight line joining two non-adjacent vertices which is across three sides of the Heptagon.

STEP 1: Convert Input(s) to Base Unit

Long Diagonal of Heptagon: 23 Meter --> 23 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 7/4*((d_Long*2*sin(((pi/2))/7))^2)/tan(pi/7) --> 7/4*((23*2*sin(((pi/2))/7))^2)/tan(pi/7)

Evaluating ... ...

A = 380.742950142796

STEP 3: Convert Result to Output's Unit

380.742950142796 Square Meter --> No Conversion Required

FINAL ANSWER

380.742950142796 ≈ 380.743 Square Meter <-- Area of Heptagon

(Calculation completed in 00.004 seconds)

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< 9 Area of Heptagon Calculators

Area of Heptagon given Long Diagonal

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

Area of Heptagon given Short Diagonal

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

Area of Heptagon given Height

Go Area of Heptagon = 7/4*((2*Height of Heptagon*tan(((pi/2))/7))^2)/tan(pi/7)

Area of Heptagon given Width

Go Area of Heptagon = 7/4*((Width of Heptagon*2*sin(((pi/2))/7))^2)/tan(pi/7)

Area of Heptagon given Circumradius

Go Area of Heptagon = 7/4*(2*Circumradius of Heptagon*sin(pi/7))^2/tan(pi/7)

Area of Heptagon given Inradius

Go Area of Heptagon = 7/4*(Inradius of Heptagon*2*tan(pi/7))^2/tan(pi/7)

Area of Heptagon given Perimeter

Go Area of Heptagon = 7/4*((Perimeter of Heptagon/7)^2)/tan(pi/7)

Area of Heptagon

Go Area of Heptagon = (7*Side of Heptagon^2)/(4*tan(pi/7))

Area of Triangle of Heptagon given Inradius

Go Area of Triangle of Heptagon = 1/2*Side of Heptagon*Inradius of Heptagon

Area of Heptagon given Long Diagonal Formula

Area of Heptagon = 7/4*((Long Diagonal of Heptagon*2*sin(((pi/2))/7))^2)/tan(pi/7)
A = 7/4*((d_Long*2*sin(((pi/2))/7))^2)/tan(pi/7)

What is a Heptagon?

Heptagon is a polygon with seven sides and seven vertices. Like any polygon, a heptagon may be either convex or concave, as illustrated in the next figure. When it is convex, all its interior angles are lower than 180°. On the other hand, when its is concave, one or more of its interior angles is larger than 180°. When all the edges of the heptagon are equal then it is called equilateral

How to Calculate Area of Heptagon given Long Diagonal?

Area of Heptagon given Long Diagonal calculator uses Area of Heptagon = 7/4*((Long Diagonal of Heptagon*2*sin(((pi/2))/7))^2)/tan(pi/7) to calculate the Area of Heptagon, The Area of Heptagon given Long Diagonal formula is defined as the amount of space occupied by the surface inside the Heptagon, calculated using a long diagonal. Area of Heptagon is denoted by A symbol.

How to calculate Area of Heptagon given Long Diagonal using this online calculator? To use this online calculator for Area of Heptagon given Long Diagonal, enter Long Diagonal of Heptagon (d_Long) and hit the calculate button. Here is how the Area of Heptagon given Long Diagonal calculation can be explained with given input values -> 380.743 = 7/4*((23*2*sin(((pi/2))/7))^2)/tan(pi/7).

FAQ

What is Area of Heptagon given Long Diagonal?

The Area of Heptagon given Long Diagonal formula is defined as the amount of space occupied by the surface inside the Heptagon, calculated using a long diagonal and is represented as A = 7/4*((d_Long*2*sin(((pi/2))/7))^2)/tan(pi/7) or Area of Heptagon = 7/4*((Long Diagonal of Heptagon*2*sin(((pi/2))/7))^2)/tan(pi/7). Long Diagonal of Heptagon is the straight line joining two non-adjacent vertices which is across three sides of the Heptagon.

How to calculate Area of Heptagon given Long Diagonal?

The Area of Heptagon given Long Diagonal formula is defined as the amount of space occupied by the surface inside the Heptagon, calculated using a long diagonal is calculated using Area of Heptagon = 7/4*((Long Diagonal of Heptagon*2*sin(((pi/2))/7))^2)/tan(pi/7). To calculate Area of Heptagon given Long Diagonal, you need Long Diagonal of Heptagon (d_Long). With our tool, you need to enter the respective value for Long Diagonal of Heptagon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Area of Heptagon?

In this formula, Area of Heptagon uses Long Diagonal of Heptagon. We can use 7 other way(s) to calculate the same, which is/are as follows -

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)
Area of Heptagon = 7/4*((Perimeter of Heptagon/7)^2)/tan(pi/7)
Area of Heptagon = 7/4*(2*Circumradius of Heptagon*sin(pi/7))^2/tan(pi/7)
Area of Heptagon = (7*Side of Heptagon^2)/(4*tan(pi/7))
Area of Heptagon = 7/4*(Inradius of Heptagon*2*tan(pi/7))^2/tan(pi/7)
Area of Heptagon = 7/4*((Width of Heptagon*2*sin(((pi/2))/7))^2)/tan(pi/7)

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