Width of Heptagon given Short Diagonal Calculator

✖Short Diagonal of Heptagon is the length of the straight line joining two non-adjacent vertices across the two sides of the Heptagon.ⓘ Short Diagonal of Heptagon [d_Short]

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✖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 Short Diagonal [w]

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Formula

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Width of Heptagon given Short Diagonal

Formula

`"w" = "d"_{"Short"}/(4*sin(((pi/2))/7)*cos(pi/7))`

Example

`"22.44563m"="18m"/(4*sin(((pi/2))/7)*cos(pi/7))`

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Width of Heptagon given Short Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Heptagon = Short Diagonal of Heptagon/(4*sin(((pi/2))/7)*cos(pi/7))
w = d_Short/(4*sin(((pi/2))/7)*cos(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)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

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.
Short Diagonal of Heptagon - (Measured in Meter) - Short Diagonal of Heptagon is the length of the straight line joining two non-adjacent vertices across the two sides of the Heptagon.

STEP 1: Convert Input(s) to Base Unit

Short Diagonal of Heptagon: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = d_Short/(4*sin(((pi/2))/7)*cos(pi/7)) --> 18/(4*sin(((pi/2))/7)*cos(pi/7))

Evaluating ... ...

w = 22.4456328669144

STEP 3: Convert Result to Output's Unit

22.4456328669144 Meter --> No Conversion Required

FINAL ANSWER

22.4456328669144 ≈ 22.44563 Meter <-- Width of Heptagon

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

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

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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

Width of Heptagon given Short Diagonal Formula

Width of Heptagon = Short Diagonal of Heptagon/(4*sin(((pi/2))/7)*cos(pi/7))
w = d_Short/(4*sin(((pi/2))/7)*cos(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 Width of Heptagon given Short Diagonal?

Width of Heptagon given Short Diagonal calculator uses Width of Heptagon = Short Diagonal of Heptagon/(4*sin(((pi/2))/7)*cos(pi/7)) to calculate the Width of Heptagon, The Width of Heptagon given Short Diagonal 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 short diagonal of the Heptagon. Width of Heptagon is denoted by w symbol.

How to calculate Width of Heptagon given Short Diagonal using this online calculator? To use this online calculator for Width of Heptagon given Short Diagonal, enter Short Diagonal of Heptagon (d_Short) and hit the calculate button. Here is how the Width of Heptagon given Short Diagonal calculation can be explained with given input values -> 22.44563 = 18/(4*sin(((pi/2))/7)*cos(pi/7)).

FAQ

What is Width of Heptagon given Short Diagonal?

The Width of Heptagon given Short Diagonal 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 short diagonal of the Heptagon and is represented as w = d_Short/(4*sin(((pi/2))/7)*cos(pi/7)) or Width of Heptagon = Short Diagonal of Heptagon/(4*sin(((pi/2))/7)*cos(pi/7)). Short Diagonal of Heptagon is the length of the straight line joining two non-adjacent vertices across the two sides of the Heptagon.

How to calculate Width of Heptagon given Short Diagonal?

The Width of Heptagon given Short Diagonal 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 short diagonal of the Heptagon is calculated using Width of Heptagon = Short Diagonal of Heptagon/(4*sin(((pi/2))/7)*cos(pi/7)). To calculate Width of Heptagon given Short Diagonal, you need Short Diagonal of Heptagon (d_Short). With our tool, you need to enter the respective value for Short 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 Width of Heptagon?

In this formula, Width of Heptagon uses Short Diagonal of Heptagon. We can use 7 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 = sqrt((4*tan(pi/7))/7*Area of Heptagon)/(2*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 = Height of Heptagon*tan(((pi/2))/7)/sin(((pi/2))/7)

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