Perimeter of Heptagon given Long Diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Heptagon = 7*(Long Diagonal of Heptagon*2*sin(((pi/2))/7))
P = 7*(dLong*2*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
Perimeter of Heptagon - (Measured in Meter) - Perimeter of Heptagon is the total length around the edge of the Heptagon.
Long Diagonal of Heptagon - (Measured in Meter) - Long Diagonal of Heptagon is the straight line joining two non-adjacent vertices which is across three sides of the Heptagon.
STEP 1: Convert Input(s) to Base Unit
Long Diagonal of Heptagon: 23 Meter --> 23 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 7*(dLong*2*sin(((pi/2))/7)) --> 7*(23*2*sin(((pi/2))/7))
Evaluating ... ...
P = 71.6517407339332
STEP 3: Convert Result to Output's Unit
71.6517407339332 Meter --> No Conversion Required
FINAL ANSWER
71.6517407339332 71.65174 Meter <-- Perimeter of Heptagon
(Calculation completed in 00.004 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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Perimeter of Heptagon Calculators

Perimeter of Heptagon given Long Diagonal
​ LaTeX ​ Go Perimeter of Heptagon = 7*(Long Diagonal of Heptagon*2*sin(((pi/2))/7))
Perimeter of Heptagon given Short Diagonal
​ LaTeX ​ Go Perimeter of Heptagon = 7*(Short Diagonal of Heptagon/(2*cos(pi/7)))
Perimeter of Heptagon given Circumradius
​ LaTeX ​ Go Perimeter of Heptagon = 14*Circumradius of Heptagon*sin(pi/7)
Perimeter of Heptagon given Height
​ LaTeX ​ Go Perimeter of Heptagon = 14*Height of Heptagon*tan(((pi/2))/7)

Perimeter of Heptagon given Long Diagonal Formula

​LaTeX ​Go
Perimeter of Heptagon = 7*(Long Diagonal of Heptagon*2*sin(((pi/2))/7))
P = 7*(dLong*2*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 Perimeter of Heptagon given Long Diagonal?

Perimeter of Heptagon given Long Diagonal calculator uses Perimeter of Heptagon = 7*(Long Diagonal of Heptagon*2*sin(((pi/2))/7)) to calculate the Perimeter of Heptagon, The Perimeter of Heptagon given Long Diagonal formula is defined as the sum of all the sides of Heptagon, calculated using long diagonal. Perimeter of Heptagon is denoted by P symbol.

How to calculate Perimeter of Heptagon given Long Diagonal using this online calculator? To use this online calculator for Perimeter of Heptagon given Long Diagonal, enter Long Diagonal of Heptagon (dLong) and hit the calculate button. Here is how the Perimeter of Heptagon given Long Diagonal calculation can be explained with given input values -> 71.65174 = 7*(23*2*sin(((pi/2))/7)).

FAQ

What is Perimeter of Heptagon given Long Diagonal?
The Perimeter of Heptagon given Long Diagonal formula is defined as the sum of all the sides of Heptagon, calculated using long diagonal and is represented as P = 7*(dLong*2*sin(((pi/2))/7)) or Perimeter of Heptagon = 7*(Long Diagonal of Heptagon*2*sin(((pi/2))/7)). Long Diagonal of Heptagon is the straight line joining two non-adjacent vertices which is across three sides of the Heptagon.
How to calculate Perimeter of Heptagon given Long Diagonal?
The Perimeter of Heptagon given Long Diagonal formula is defined as the sum of all the sides of Heptagon, calculated using long diagonal is calculated using Perimeter of Heptagon = 7*(Long Diagonal of Heptagon*2*sin(((pi/2))/7)). To calculate Perimeter of Heptagon given Long Diagonal, you need Long Diagonal of Heptagon (dLong). With our tool, you need to enter the respective value for Long 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 Perimeter of Heptagon?
In this formula, Perimeter of Heptagon uses Long Diagonal of Heptagon. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Perimeter of Heptagon = 7*(Short Diagonal of Heptagon/(2*cos(pi/7)))
  • Perimeter of Heptagon = 14*Height of Heptagon*tan(((pi/2))/7)
  • Perimeter of Heptagon = 14*Circumradius of Heptagon*sin(pi/7)
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