Area of Heptagon given Width Calculator

✖The Width of Heptagon is the horizontal distance from the left most edge to the right most edge of the Regular Heptagon.ⓘ Width of Heptagon [w]

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

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Area of Heptagon given Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Heptagon = 7/4*((Width of Heptagon*2*sin(((pi/2))/7))^2)/tan(pi/7)
A = 7/4*((w*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.
Width of Heptagon - (Measured in Meter) - The Width of Heptagon is the horizontal distance from the left most edge to the right most edge of the Regular Heptagon.

STEP 1: Convert Input(s) to Base Unit

Width of Heptagon: 23 Meter --> 23 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 7/4*((w*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 00.020 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 given Width Formula

LaTeX Go

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

Area of Heptagon given Width calculator uses Area of Heptagon = 7/4*((Width of Heptagon*2*sin(((pi/2))/7))^2)/tan(pi/7) to calculate 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 calculate Area of Heptagon given Width using this online calculator? To use this online calculator for Area of Heptagon given Width, enter Width of Heptagon (w) and hit the calculate button. Here is how the Area of Heptagon given Width 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 Width?

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 and is represented as A = 7/4*((w*2*sin(((pi/2))/7))^2)/tan(pi/7) or Area of Heptagon = 7/4*((Width of Heptagon*2*sin(((pi/2))/7))^2)/tan(pi/7). The Width of Heptagon is the horizontal distance from the left most edge to the right most edge of the Regular Heptagon.

How to calculate Area of Heptagon given Width?

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 is calculated using Area of Heptagon = 7/4*((Width of Heptagon*2*sin(((pi/2))/7))^2)/tan(pi/7). To calculate Area of Heptagon given Width, you need Width of Heptagon (w). With our tool, you need to enter the respective value for Width 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 Width 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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