Width of Heptagon given Area 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 given Area [w]

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Formula

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Width of Heptagon given Area

Formula

`"w" = sqrt((4*tan(pi/7))/7*"A")/(2*sin(((pi/2))/7))`

Example

`"22.51948m"=sqrt((4*tan(pi/7))/7*"365m²")/(2*sin(((pi/2))/7))`

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Width of Heptagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Heptagon = sqrt((4*tan(pi/7))/7*Area of Heptagon)/(2*sin(((pi/2))/7))
w = sqrt((4*tan(pi/7))/7*A)/(2*sin(((pi/2))/7))
This formula uses 1 Constants, 3 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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
Area of Heptagon - (Measured in Square Meter) - The Area of Heptagon is the amount of two-dimensional space taken up by the Heptagon.

STEP 1: Convert Input(s) to Base Unit

Area of Heptagon: 365 Square Meter --> 365 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = sqrt((4*tan(pi/7))/7*A)/(2*sin(((pi/2))/7)) --> sqrt((4*tan(pi/7))/7*365)/(2*sin(((pi/2))/7))

Evaluating ... ...

w = 22.5194787018766

STEP 3: Convert Result to Output's Unit

22.5194787018766 Meter --> No Conversion Required

FINAL ANSWER

22.5194787018766 ≈ 22.51948 Meter <-- Width of Heptagon

(Calculation completed in 00.004 seconds)

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Credits

Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has created this Calculator and 1100+ more calculators!

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Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

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< 8 Width of Heptagon Calculators

Width of Heptagon given Area

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

Width of Heptagon given Short Diagonal

Go Width of Heptagon = Short Diagonal of Heptagon/(4*sin(((pi/2))/7)*cos(pi/7))

Width of Heptagon given Circumradius

Go Width of Heptagon = Circumradius of Heptagon*sin(pi/7)/sin(((pi/2))/7)

Width of Heptagon given Height

Go Width of Heptagon = Height of Heptagon*tan(((pi/2))/7)/sin(((pi/2))/7)

Width of Heptagon given Inradius

Go Width of Heptagon = Inradius of Heptagon*tan(pi/7)/sin(((pi/2))/7)

Width of Heptagon given Perimeter

Go Width of Heptagon = Perimeter of Heptagon/(14*sin(((pi/2))/7))

Width of Heptagon

Go Width of Heptagon = Side of Heptagon/(2*sin(((pi/2))/7))

Width of Heptagon given Long Diagonal

Go Width of Heptagon = 1*Long Diagonal of Heptagon

< 3 Width of Heptagon Calculators

Width of Heptagon given Area

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

Width of Heptagon given Perimeter

Go Width of Heptagon = Perimeter of Heptagon/(14*sin(((pi/2))/7))

Width of Heptagon

Go Width of Heptagon = Side of Heptagon/(2*sin(((pi/2))/7))

Width of Heptagon given Area Formula

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

Width of Heptagon given Area calculator uses Width of Heptagon = sqrt((4*tan(pi/7))/7*Area of Heptagon)/(2*sin(((pi/2))/7)) to calculate the Width of Heptagon, The Width of Heptagon given Area formula is defined as the horizontal distance from the left-most edge to the right-most edge of the Regular Heptagon, and is calculated using the area of the Heptagon. Width of Heptagon is denoted by w symbol.

How to calculate Width of Heptagon given Area using this online calculator? To use this online calculator for Width of Heptagon given Area, enter Area of Heptagon (A) and hit the calculate button. Here is how the Width of Heptagon given Area calculation can be explained with given input values -> 22.51948 = sqrt((4*tan(pi/7))/7*365)/(2*sin(((pi/2))/7)).

FAQ

What is Width of Heptagon given Area?

The Width of Heptagon given Area formula is defined as the horizontal distance from the left-most edge to the right-most edge of the Regular Heptagon, and is calculated using the area of the Heptagon and is represented as w = sqrt((4*tan(pi/7))/7*A)/(2*sin(((pi/2))/7)) or Width of Heptagon = sqrt((4*tan(pi/7))/7*Area of Heptagon)/(2*sin(((pi/2))/7)). The Area of Heptagon is the amount of two-dimensional space taken up by the Heptagon.

How to calculate Width of Heptagon given Area?

The Width of Heptagon given Area formula is defined as the horizontal distance from the left-most edge to the right-most edge of the Regular Heptagon, and is calculated using the area of the Heptagon is calculated using Width of Heptagon = sqrt((4*tan(pi/7))/7*Area of Heptagon)/(2*sin(((pi/2))/7)). To calculate Width of Heptagon given Area, you need Area of Heptagon (A). With our tool, you need to enter the respective value for Area 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 Width of Heptagon?

In this formula, Width of Heptagon uses Area of Heptagon. We can use 9 other way(s) to calculate the same, which is/are as follows -

Width of Heptagon = Side of Heptagon/(2*sin(((pi/2))/7))
Width of Heptagon = Circumradius of Heptagon*sin(pi/7)/sin(((pi/2))/7)
Width of Heptagon = Inradius of Heptagon*tan(pi/7)/sin(((pi/2))/7)
Width of Heptagon = Perimeter of Heptagon/(14*sin(((pi/2))/7))
Width of Heptagon = 1*Long Diagonal of Heptagon
Width of Heptagon = Short Diagonal of Heptagon/(4*sin(((pi/2))/7)*cos(pi/7))
Width of Heptagon = Height of Heptagon*tan(((pi/2))/7)/sin(((pi/2))/7)
Width of Heptagon = Side of Heptagon/(2*sin(((pi/2))/7))
Width of Heptagon = Perimeter of Heptagon/(14*sin(((pi/2))/7))

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