Perimeter of Heptagon given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Heptagon = 14*Height of Heptagon*tan(((pi/2))/7)
P = 14*h*tan(((pi/2))/7)
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
Variables Used
Perimeter of Heptagon - (Measured in Meter) - Perimeter of Heptagon is the total length around the edge of the Heptagon.
Height of Heptagon - (Measured in Meter) - Height of Heptagon is the length of a perpendicular line drawn from one vertex to the opposite side.
STEP 1: Convert Input(s) to Base Unit
Height of Heptagon: 22 Meter --> 22 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 14*h*tan(((pi/2))/7) --> 14*22*tan(((pi/2))/7)
Evaluating ... ...
P = 70.2989901121662
STEP 3: Convert Result to Output's Unit
70.2989901121662 Meter --> No Conversion Required
FINAL ANSWER
70.2989901121662 70.29899 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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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 Height Formula

​LaTeX ​Go
Perimeter of Heptagon = 14*Height of Heptagon*tan(((pi/2))/7)
P = 14*h*tan(((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 Height?

Perimeter of Heptagon given Height calculator uses Perimeter of Heptagon = 14*Height of Heptagon*tan(((pi/2))/7) to calculate the Perimeter of Heptagon, The Perimeter of Heptagon given Height formula is defined as the sum of all the sides of Heptagon, calculated using height. Perimeter of Heptagon is denoted by P symbol.

How to calculate Perimeter of Heptagon given Height using this online calculator? To use this online calculator for Perimeter of Heptagon given Height, enter Height of Heptagon (h) and hit the calculate button. Here is how the Perimeter of Heptagon given Height calculation can be explained with given input values -> 70.29899 = 14*22*tan(((pi/2))/7).

FAQ

What is Perimeter of Heptagon given Height?
The Perimeter of Heptagon given Height formula is defined as the sum of all the sides of Heptagon, calculated using height and is represented as P = 14*h*tan(((pi/2))/7) or Perimeter of Heptagon = 14*Height of Heptagon*tan(((pi/2))/7). Height of Heptagon is the length of a perpendicular line drawn from one vertex to the opposite side.
How to calculate Perimeter of Heptagon given Height?
The Perimeter of Heptagon given Height formula is defined as the sum of all the sides of Heptagon, calculated using height is calculated using Perimeter of Heptagon = 14*Height of Heptagon*tan(((pi/2))/7). To calculate Perimeter of Heptagon given Height, you need Height of Heptagon (h). With our tool, you need to enter the respective value for Height 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 Height of Heptagon. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Perimeter of Heptagon = 7*(Long Diagonal of Heptagon*2*sin(((pi/2))/7))
  • Perimeter of Heptagon = 7*(Short Diagonal of Heptagon/(2*cos(pi/7)))
  • Perimeter of Heptagon = 14*Circumradius of Heptagon*sin(pi/7)
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