Area of Heptagon given Perimeter Calculator

✖Perimeter of Heptagon is the total length around the edge of the Heptagon.ⓘ Perimeter of Heptagon [P]

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

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Area of Heptagon given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Heptagon = 7/4*((Perimeter of Heptagon/7)^2)/tan(pi/7)
A = 7/4*((P/7)^2)/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.
Perimeter of Heptagon - (Measured in Meter) - Perimeter of Heptagon is the total length around the edge of the Heptagon.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Heptagon: 70 Meter --> 70 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 7/4*((P/7)^2)/tan(pi/7) --> 7/4*((70/7)^2)/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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< 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 given Perimeter Formula

LaTeX Go

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

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

How to calculate Area of Heptagon given Perimeter using this online calculator? To use this online calculator for Area of Heptagon given Perimeter, enter Perimeter of Heptagon (P) and hit the calculate button. Here is how the Area of Heptagon given Perimeter calculation can be explained with given input values -> 363.3912 = 7/4*((70/7)^2)/tan(pi/7).

FAQ

What is Area of Heptagon given Perimeter?

The Area of Heptagon given Perimeter formula is defined as the amount of space occupied by the surface inside the Heptagon, calculated using perimeter and is represented as A = 7/4*((P/7)^2)/tan(pi/7) or Area of Heptagon = 7/4*((Perimeter of Heptagon/7)^2)/tan(pi/7). Perimeter of Heptagon is the total length around the edge of the Heptagon.

How to calculate Area of Heptagon given Perimeter?

The Area of Heptagon given Perimeter formula is defined as the amount of space occupied by the surface inside the Heptagon, calculated using perimeter is calculated using Area of Heptagon = 7/4*((Perimeter of Heptagon/7)^2)/tan(pi/7). To calculate Area of Heptagon given Perimeter, you need Perimeter of Heptagon (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter 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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