Side of Heptagon given Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Side of Heptagon = 2*Width of Heptagon*sin(((pi/2))/7)
S = 2*w*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
Side of Heptagon - (Measured in Meter) - Side of Heptagon is the length of the line segment joining two adjacent vertices of 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
S = 2*w*sin(((pi/2))/7) --> 2*23*sin(((pi/2))/7)
Evaluating ... ...
S = 10.2359629619905
STEP 3: Convert Result to Output's Unit
10.2359629619905 Meter --> No Conversion Required
FINAL ANSWER
10.2359629619905 10.23596 Meter <-- Side of Heptagon
(Calculation completed in 00.020 seconds)

Credits

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Created by Himanshu Srivastava
Lloyd Business School (LBS), Greater Noida
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Side of Heptagon Calculators

Side of Heptagon given Long Diagonal
​ LaTeX ​ Go Side of Heptagon = 2*Long Diagonal of Heptagon*sin(((pi/2))/7)
Side of Heptagon given Short Diagonal
​ LaTeX ​ Go Side of Heptagon = Short Diagonal of Heptagon/(2*cos(pi/7))
Side of Heptagon given Circumradius
​ LaTeX ​ Go Side of Heptagon = 2*Circumradius of Heptagon*sin(pi/7)
Side of Heptagon given Perimeter
​ LaTeX ​ Go Side of Heptagon = Perimeter of Heptagon/7

Side of Heptagon given Width Formula

​LaTeX ​Go
Side of Heptagon = 2*Width of Heptagon*sin(((pi/2))/7)
S = 2*w*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 Side of Heptagon given Width?

Side of Heptagon given Width calculator uses Side of Heptagon = 2*Width of Heptagon*sin(((pi/2))/7) to calculate the Side of Heptagon, The Side of Heptagon given Width formula is defined as the length of the line segment joining two adjacent vertices of Heptagon, calculated using its width. Side of Heptagon is denoted by S symbol.

How to calculate Side of Heptagon given Width using this online calculator? To use this online calculator for Side of Heptagon given Width, enter Width of Heptagon (w) and hit the calculate button. Here is how the Side of Heptagon given Width calculation can be explained with given input values -> 10.23596 = 2*23*sin(((pi/2))/7).

FAQ

What is Side of Heptagon given Width?
The Side of Heptagon given Width formula is defined as the length of the line segment joining two adjacent vertices of Heptagon, calculated using its width and is represented as S = 2*w*sin(((pi/2))/7) or Side of Heptagon = 2*Width of Heptagon*sin(((pi/2))/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 Side of Heptagon given Width?
The Side of Heptagon given Width formula is defined as the length of the line segment joining two adjacent vertices of Heptagon, calculated using its width is calculated using Side of Heptagon = 2*Width of Heptagon*sin(((pi/2))/7). To calculate Side 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 Side of Heptagon?
In this formula, Side of Heptagon uses Width of Heptagon. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Side of Heptagon = 2*Long Diagonal of Heptagon*sin(((pi/2))/7)
  • Side of Heptagon = Short Diagonal of Heptagon/(2*cos(pi/7))
  • Side of Heptagon = Perimeter of Heptagon/7
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