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Area of Heptagon Calculator

✖Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon.ⓘ Side of Heptagon [S]

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

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Area of Heptagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Heptagon = (7*Side of Heptagon^2)/(4*tan(pi/7))
A = (7*S^2)/(4*tan(pi/7))
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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.
Side of Heptagon - (Measured in Meter) - Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon.

STEP 1: Convert Input(s) to Base Unit

Side of Heptagon: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (7*S^2)/(4*tan(pi/7)) --> (7*10^2)/(4*tan(pi/7))

Evaluating ... ...

A = 363.391244400159

STEP 3: Convert Result to Output's Unit

363.391244400159 Square Meter --> No Conversion Required

FINAL ANSWER

363.391244400159 ≈ 363.3912 Square Meter <-- Area of Heptagon

(Calculation completed in 00.020 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Vellore Institute of Technology (VIT), Bhopal

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< Area of Heptagon Calculators

Area of Heptagon given Long Diagonal

LaTeX 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

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

Area of Heptagon given Height

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

Area of Triangle of Heptagon given Inradius

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

< Area of Heptagon Calculators

Area of Heptagon given Height

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

Area of Heptagon given Perimeter

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

Area of Heptagon

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

Area of Triangle of Heptagon given Inradius

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

Area of Heptagon Formula

LaTeX Go

Area of Heptagon = (7*Side of Heptagon^2)/(4*tan(pi/7))
A = (7*S^2)/(4*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?

Area of Heptagon calculator uses Area of Heptagon = (7*Side of Heptagon^2)/(4*tan(pi/7)) to calculate the Area of Heptagon, Area of Heptagon is defined as the amount of space occupied by the surface inside the Heptagon. Area of Heptagon is denoted by A symbol.

How to calculate Area of Heptagon using this online calculator? To use this online calculator for Area of Heptagon, enter Side of Heptagon (S) and hit the calculate button. Here is how the Area of Heptagon calculation can be explained with given input values -> 363.3912 = (7*10^2)/(4*tan(pi/7)).

FAQ

What is Area of Heptagon?

Area of Heptagon is defined as the amount of space occupied by the surface inside the Heptagon and is represented as A = (7*S^2)/(4*tan(pi/7)) or Area of Heptagon = (7*Side of Heptagon^2)/(4*tan(pi/7)). Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon.

How to calculate Area of Heptagon?

Area of Heptagon is defined as the amount of space occupied by the surface inside the Heptagon is calculated using Area of Heptagon = (7*Side of Heptagon^2)/(4*tan(pi/7)). To calculate Area of Heptagon, you need Side of Heptagon (S). With our tool, you need to enter the respective value for Side 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 Side of Heptagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

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