Short Diagonal of Heptagon Solution

STEP 0: Pre-Calculation Summary
Formula Used
Short Diagonal of Heptagon = 2*Side of Heptagon*cos(pi/7)
dShort = 2*S*cos(pi/7)
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
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
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.
Side of Heptagon - (Measured in Meter) - Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon.
STEP 1: Convert Input(s) to Base Unit
Side of Heptagon: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dShort = 2*S*cos(pi/7) --> 2*10*cos(pi/7)
Evaluating ... ...
dShort = 18.0193773580484
STEP 3: Convert Result to Output's Unit
18.0193773580484 Meter --> No Conversion Required
FINAL ANSWER
18.0193773580484 18.01938 Meter <-- Short Diagonal of Heptagon
(Calculation completed in 00.006 seconds)

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Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Verified by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Short Diagonal of Heptagon Calculators

Short Diagonal of Heptagon given Long Diagonal
​ LaTeX ​ Go Short Diagonal of Heptagon = 4*Long Diagonal of Heptagon*sin(((pi/2))/7)*cos(pi/7)
Short Diagonal of Heptagon given Height
​ LaTeX ​ Go Short Diagonal of Heptagon = 4*Height of Heptagon*tan(((pi/2))/7)*cos(pi/7)
Short Diagonal of Heptagon given Perimeter
​ LaTeX ​ Go Short Diagonal of Heptagon = 2*(Perimeter of Heptagon/7)*cos(pi/7)
Short Diagonal of Heptagon
​ LaTeX ​ Go Short Diagonal of Heptagon = 2*Side of Heptagon*cos(pi/7)

Diagonal of Heptagon Calculators

Short Diagonal of Heptagon given Perimeter
​ LaTeX ​ Go Short Diagonal of Heptagon = 2*(Perimeter of Heptagon/7)*cos(pi/7)
Long Diagonal of Heptagon
​ LaTeX ​ Go Long Diagonal of Heptagon = Side of Heptagon/(2*sin(((pi/2))/7))
Short Diagonal of Heptagon
​ LaTeX ​ Go Short Diagonal of Heptagon = 2*Side of Heptagon*cos(pi/7)
Long Diagonal of Heptagon given Width
​ LaTeX ​ Go Long Diagonal of Heptagon = Width of Heptagon/1

Short Diagonal of Heptagon Formula

​LaTeX ​Go
Short Diagonal of Heptagon = 2*Side of Heptagon*cos(pi/7)
dShort = 2*S*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 Short Diagonal of Heptagon?

Short Diagonal of Heptagon calculator uses Short Diagonal of Heptagon = 2*Side of Heptagon*cos(pi/7) to calculate the Short Diagonal of Heptagon, The Short Diagonal of Heptagon formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the two sides. Short Diagonal of Heptagon is denoted by dShort symbol.

How to calculate Short Diagonal of Heptagon using this online calculator? To use this online calculator for Short Diagonal of Heptagon, enter Side of Heptagon (S) and hit the calculate button. Here is how the Short Diagonal of Heptagon calculation can be explained with given input values -> 18.01938 = 2*10*cos(pi/7).

FAQ

What is Short Diagonal of Heptagon?
The Short Diagonal of Heptagon formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the two sides and is represented as dShort = 2*S*cos(pi/7) or Short Diagonal of Heptagon = 2*Side of Heptagon*cos(pi/7). Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon.
How to calculate Short Diagonal of Heptagon?
The Short Diagonal of Heptagon formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the two sides is calculated using Short Diagonal of Heptagon = 2*Side of Heptagon*cos(pi/7). To calculate Short Diagonal of Heptagon, you need Side of Heptagon (S). With our tool, you need to enter the respective value for Side 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 Short Diagonal of Heptagon?
In this formula, Short Diagonal of Heptagon uses Side of Heptagon. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Short Diagonal of Heptagon = 4*Long Diagonal of Heptagon*sin(((pi/2))/7)*cos(pi/7)
  • Short Diagonal of Heptagon = 4*Height of Heptagon*tan(((pi/2))/7)*cos(pi/7)
  • Short Diagonal of Heptagon = 2*(Perimeter of Heptagon/7)*cos(pi/7)
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