Height of Heptagon Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Heptagon = Side of Heptagon/(2*tan(((pi/2))/7))
h = S/(2*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
Height of Heptagon - (Measured in Meter) - Height of Heptagon is the length of a perpendicular line drawn from one vertex to the opposite side.
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
h = S/(2*tan(((pi/2))/7)) --> 10/(2*tan(((pi/2))/7))
Evaluating ... ...
h = 21.9064313376741
STEP 3: Convert Result to Output's Unit
21.9064313376741 Meter --> No Conversion Required
FINAL ANSWER
21.9064313376741 21.90643 Meter <-- Height of Heptagon
(Calculation completed in 00.006 seconds)

Credits

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Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has created this Calculator and 2000+ more calculators!
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Verified by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Height of Heptagon Calculators

Height of Heptagon given Circumradius
​ LaTeX ​ Go Height of Heptagon = (Circumradius of Heptagon*2*sin(pi/7))/(2*tan(((pi/2))/7))
Height of Heptagon given Long Diagonal
​ LaTeX ​ Go Height of Heptagon = Long Diagonal of Heptagon*sin(((pi/2))/7)/tan(((pi/2))/7)
Height of Heptagon given Inradius
​ LaTeX ​ Go Height of Heptagon = Inradius of Heptagon*(tan(pi/7))/(tan(((pi/2))/7))
Height of Heptagon
​ LaTeX ​ Go Height of Heptagon = Side of Heptagon/(2*tan(((pi/2))/7))

Height of Heptagon Calculators

Height of Heptagon given Width
​ LaTeX ​ Go Height of Heptagon = Width of Heptagon*sin(((pi/2))/7)/tan(((pi/2))/7)
Height of Heptagon given Perimeter
​ LaTeX ​ Go Height of Heptagon = (Perimeter of Heptagon/7)/(2*tan(((pi/2))/7))
Height of Heptagon
​ LaTeX ​ Go Height of Heptagon = Side of Heptagon/(2*tan(((pi/2))/7))

Height of Heptagon Formula

​LaTeX ​Go
Height of Heptagon = Side of Heptagon/(2*tan(((pi/2))/7))
h = S/(2*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 Height of Heptagon?

Height of Heptagon calculator uses Height of Heptagon = Side of Heptagon/(2*tan(((pi/2))/7)) to calculate the Height of Heptagon, The Height of Heptagon formula is defined as the measurement of the length of a perpendicular line drawn from one vertex to the opposite side. Height of Heptagon is denoted by h symbol.

How to calculate Height of Heptagon using this online calculator? To use this online calculator for Height of Heptagon, enter Side of Heptagon (S) and hit the calculate button. Here is how the Height of Heptagon calculation can be explained with given input values -> 21.90643 = 10/(2*tan(((pi/2))/7)).

FAQ

What is Height of Heptagon?
The Height of Heptagon formula is defined as the measurement of the length of a perpendicular line drawn from one vertex to the opposite side and is represented as h = S/(2*tan(((pi/2))/7)) or Height of Heptagon = Side of Heptagon/(2*tan(((pi/2))/7)). Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon.
How to calculate Height of Heptagon?
The Height of Heptagon formula is defined as the measurement of the length of a perpendicular line drawn from one vertex to the opposite side is calculated using Height of Heptagon = Side of Heptagon/(2*tan(((pi/2))/7)). To calculate Height 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 Height of Heptagon?
In this formula, Height of Heptagon uses Side of Heptagon. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Height of Heptagon = (Circumradius of Heptagon*2*sin(pi/7))/(2*tan(((pi/2))/7))
  • Height of Heptagon = Inradius of Heptagon*(tan(pi/7))/(tan(((pi/2))/7))
  • Height of Heptagon = Long Diagonal of Heptagon*sin(((pi/2))/7)/tan(((pi/2))/7)
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