Width of Heptagon given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of Heptagon = Perimeter of Heptagon/(14*sin(((pi/2))/7))
w = P/(14*sin(((pi/2))/7))
This formula uses 1 Constants, 1 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)
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.
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
w = P/(14*sin(((pi/2))/7)) --> 70/(14*sin(((pi/2))/7))
Evaluating ... ...
w = 22.4697960371747
STEP 3: Convert Result to Output's Unit
22.4697960371747 Meter --> No Conversion Required
FINAL ANSWER
22.4697960371747 22.4698 Meter <-- Width of Heptagon
(Calculation completed in 00.004 seconds)

Credits

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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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Verified by Nayana Phulphagar
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 Perimeter Formula

Width of Heptagon = Perimeter of Heptagon/(14*sin(((pi/2))/7))
w = P/(14*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 Perimeter?

Width of Heptagon given Perimeter calculator uses Width of Heptagon = Perimeter of Heptagon/(14*sin(((pi/2))/7)) to calculate the Width of Heptagon, The Width of Heptagon given Perimeter 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 perimeter of the Heptagon. Width of Heptagon is denoted by w symbol.

How to calculate Width of Heptagon given Perimeter using this online calculator? To use this online calculator for Width of Heptagon given Perimeter, enter Perimeter of Heptagon (P) and hit the calculate button. Here is how the Width of Heptagon given Perimeter calculation can be explained with given input values -> 22.4698 = 70/(14*sin(((pi/2))/7)).

FAQ

What is Width of Heptagon given Perimeter?
The Width of Heptagon given Perimeter 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 perimeter of the Heptagon and is represented as w = P/(14*sin(((pi/2))/7)) or Width of Heptagon = Perimeter of Heptagon/(14*sin(((pi/2))/7)). Perimeter of Heptagon is the total length around the edge of the Heptagon.
How to calculate Width of Heptagon given Perimeter?
The Width of Heptagon given Perimeter 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 perimeter of the Heptagon is calculated using Width of Heptagon = Perimeter of Heptagon/(14*sin(((pi/2))/7)). To calculate Width 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 Width of Heptagon?
In this formula, Width of Heptagon uses Perimeter 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 = sqrt((4*tan(pi/7))/7*Area of Heptagon)/(2*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 = sqrt((4*tan(pi/7))/7*Area of Heptagon)/(2*sin(((pi/2))/7))
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