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Edge length of Heptagon given short diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
side = Short diagonal/(2*cos(pi/7))
S = r/(2*cos(pi/7))
This formula uses 1 Constants, 1 Functions, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
cos - Trigonometric cosine function, cos(Angle)
Variables Used
Short diagonal - Short diagonal is a straight line joining two opposite corners of a given polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Short diagonal: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = r/(2*cos(pi/7)) --> 5/(2*cos(pi/7))
Evaluating ... ...
S = 2.77479066043686
STEP 3: Convert Result to Output's Unit
2.77479066043686 Meter --> No Conversion Required
FINAL ANSWER
2.77479066043686 Meter <-- Side
(Calculation completed in 00.000 seconds)

7 Edge length of Heptagon Calculators

Edge length of Heptagon given area
side = sqrt((4*Area*tan(pi/7))/7) Go
Edge length of Heptagon given long diagonal
side = Long diagonal*((2*sin((pi/2/7)))) Go
Edge length of Heptagon given short diagonal
side = Short diagonal/(2*cos(pi/7)) Go
Edge length of Heptagon given circumradius
side = Circumradius*(2*sin(pi/7)) Go
Edge length of Heptagon given inradius
side = Inradius*(2*(tan(pi/7))) Go
Edge length of Heptagon given height
side = Height*(2*tan(pi/2/7)) Go
Edge length of Heptagon given perimeter
side = Perimeter/7 Go

Edge length of Heptagon given short diagonal Formula

side = Short diagonal/(2*cos(pi/7))
S = r/(2*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 Edge length of Heptagon given short diagonal?

Edge length of Heptagon given short diagonal calculator uses side = Short diagonal/(2*cos(pi/7)) to calculate the Side, The Edge length of heptagon given short diagonal formula is defined as the distance or measurement from point to point of heptagon , side = side of heptagon, diagonal = short diagonal of heptagon. Side and is denoted by S symbol.

How to calculate Edge length of Heptagon given short diagonal using this online calculator? To use this online calculator for Edge length of Heptagon given short diagonal, enter Short diagonal (r) and hit the calculate button. Here is how the Edge length of Heptagon given short diagonal calculation can be explained with given input values -> 2.774791 = 5/(2*cos(pi/7)).

FAQ

What is Edge length of Heptagon given short diagonal?
The Edge length of heptagon given short diagonal formula is defined as the distance or measurement from point to point of heptagon , side = side of heptagon, diagonal = short diagonal of heptagon and is represented as S = r/(2*cos(pi/7)) or side = Short diagonal/(2*cos(pi/7)). Short diagonal is a straight line joining two opposite corners of a given polygon.
How to calculate Edge length of Heptagon given short diagonal?
The Edge length of heptagon given short diagonal formula is defined as the distance or measurement from point to point of heptagon , side = side of heptagon, diagonal = short diagonal of heptagon is calculated using side = Short diagonal/(2*cos(pi/7)). To calculate Edge length of Heptagon given short diagonal, you need Short diagonal (r). With our tool, you need to enter the respective value for Short diagonal 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?
In this formula, Side uses Short diagonal. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • side = Long diagonal*((2*sin((pi/2/7))))
  • side = Short diagonal/(2*cos(pi/7))
  • side = Height*(2*tan(pi/2/7))
  • side = Perimeter/7
  • side = Circumradius*(2*sin(pi/7))
  • side = Inradius*(2*(tan(pi/7)))
  • side = sqrt((4*Area*tan(pi/7))/7)
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