Height of Heptagon given Area Calculator

✖The Area of Heptagon is the amount of two-dimensional space taken up by the Heptagon.ⓘ Area of Heptagon [A]

+10%

-10%

✖Height of Heptagon is the length of a perpendicular line drawn from one vertex to the opposite side.ⓘ Height of Heptagon given Area [h]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Heptagon Formula PDF PDF Image

Height of Heptagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Heptagon = sqrt((4*Area of Heptagon*tan(pi/7))/7)/(2*tan(((pi/2))/7))
h = sqrt((4*A*tan(pi/7))/7)/(2*tan(((pi/2))/7))
This formula uses 1 Constants, 2 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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Area of Heptagon - (Measured in Square Meter) - The Area of Heptagon is the amount of two-dimensional space taken up by the Heptagon.

STEP 1: Convert Input(s) to Base Unit

Area of Heptagon: 365 Square Meter --> 365 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt((4*A*tan(pi/7))/7)/(2*tan(((pi/2))/7)) --> sqrt((4*365*tan(pi/7))/7)/(2*tan(((pi/2))/7))

Evaluating ... ...

h = 21.9548683542436

STEP 3: Convert Result to Output's Unit

21.9548683542436 Meter --> No Conversion Required

FINAL ANSWER

21.9548683542436 ≈ 21.95487 Meter <-- Height of Heptagon

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Heptagon » Height of Heptagon » Height of Heptagon given Area

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has verified this Calculator and 1100+ more calculators!

< 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 given Area Formula

LaTeX Go

Height of Heptagon = sqrt((4*Area of Heptagon*tan(pi/7))/7)/(2*tan(((pi/2))/7))
h = sqrt((4*A*tan(pi/7))/7)/(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 given Area?

Height of Heptagon given Area calculator uses Height of Heptagon = sqrt((4*Area of Heptagon*tan(pi/7))/7)/(2*tan(((pi/2))/7)) to calculate the Height of Heptagon, The Height of Heptagon given Area formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side, calculated using area. Height of Heptagon is denoted by h symbol.

How to calculate Height of Heptagon given Area using this online calculator? To use this online calculator for Height of Heptagon given Area, enter Area of Heptagon (A) and hit the calculate button. Here is how the Height of Heptagon given Area calculation can be explained with given input values -> 21.95487 = sqrt((4*365*tan(pi/7))/7)/(2*tan(((pi/2))/7)).

FAQ

What is Height of Heptagon given Area?

The Height of Heptagon given Area formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side, calculated using area and is represented as h = sqrt((4*A*tan(pi/7))/7)/(2*tan(((pi/2))/7)) or Height of Heptagon = sqrt((4*Area of Heptagon*tan(pi/7))/7)/(2*tan(((pi/2))/7)). The Area of Heptagon is the amount of two-dimensional space taken up by the Heptagon.

How to calculate Height of Heptagon given Area?

The Height of Heptagon given Area formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side, calculated using area is calculated using Height of Heptagon = sqrt((4*Area of Heptagon*tan(pi/7))/7)/(2*tan(((pi/2))/7)). To calculate Height of Heptagon given Area, you need Area of Heptagon (A). With our tool, you need to enter the respective value for Area 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 Area 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 = Side of Heptagon/(2*tan(((pi/2))/7))

Home

FREE PDFs

🔍 Search