Long Diagonal of Heptagon given Height Calculator

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

+10%

-10%

✖Long Diagonal of Heptagon is the straight line joining two non-adjacent vertices which is across three sides of the Heptagon.ⓘ Long Diagonal of Heptagon given Height [d_Long]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Heptagon Formula PDF PDF Image

Long Diagonal of Heptagon given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Diagonal of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/sin(((pi/2))/7)
d_Long = (h*tan(((pi/2))/7))/sin(((pi/2))/7)
This formula uses 1 Constants, 2 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)
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

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.
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

d_Long = (h*tan(((pi/2))/7))/sin(((pi/2))/7) --> (22*tan(((pi/2))/7))/sin(((pi/2))/7)

Evaluating ... ...

d_Long = 22.5657709919962

STEP 3: Convert Result to Output's Unit

22.5657709919962 Meter --> No Conversion Required

FINAL ANSWER

22.5657709919962 ≈ 22.56577 Meter <-- Long Diagonal of Heptagon

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Heptagon » Diagonal of Heptagon » Long Diagonal of Heptagon » Long Diagonal of Heptagon given Height

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!

< Long Diagonal of Heptagon Calculators

Long Diagonal of Heptagon given Short Diagonal

LaTeX Go Long Diagonal of Heptagon = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*sin(((pi/2))/7))

Long Diagonal of Heptagon given Height

LaTeX Go Long Diagonal of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/sin(((pi/2))/7)

Long Diagonal of Heptagon given Perimeter

LaTeX Go Long Diagonal of Heptagon = (Perimeter of Heptagon/7)/(2*sin(((pi/2))/7))

Long Diagonal of Heptagon

LaTeX Go Long Diagonal of Heptagon = Side of Heptagon/(2*sin(((pi/2))/7))

Long Diagonal of Heptagon given Height Formula

LaTeX Go

Long Diagonal of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/sin(((pi/2))/7)
d_Long = (h*tan(((pi/2))/7))/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 Long Diagonal of Heptagon given Height?

Long Diagonal of Heptagon given Height calculator uses Long Diagonal of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/sin(((pi/2))/7) to calculate the Long Diagonal of Heptagon, The Long Diagonal of Heptagon given Height formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the three sides, calculated using height. Long Diagonal of Heptagon is denoted by d_Long symbol.

How to calculate Long Diagonal of Heptagon given Height using this online calculator? To use this online calculator for Long Diagonal of Heptagon given Height, enter Height of Heptagon (h) and hit the calculate button. Here is how the Long Diagonal of Heptagon given Height calculation can be explained with given input values -> 22.56577 = (22*tan(((pi/2))/7))/sin(((pi/2))/7).

FAQ

What is Long Diagonal of Heptagon given Height?

The Long Diagonal of Heptagon given Height formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the three sides, calculated using height and is represented as d_Long = (h*tan(((pi/2))/7))/sin(((pi/2))/7) or Long Diagonal of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/sin(((pi/2))/7). Height of Heptagon is the length of a perpendicular line drawn from one vertex to the opposite side.

How to calculate Long Diagonal of Heptagon given Height?

The Long Diagonal of Heptagon given Height formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the three sides, calculated using height is calculated using Long Diagonal of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/sin(((pi/2))/7). To calculate Long Diagonal 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 Long Diagonal of Heptagon?

In this formula, Long Diagonal of Heptagon uses Height of Heptagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Long Diagonal of Heptagon = Side of Heptagon/(2*sin(((pi/2))/7))
Long Diagonal of Heptagon = (Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*sin(((pi/2))/7))
Long Diagonal of Heptagon = (Perimeter of Heptagon/7)/(2*sin(((pi/2))/7))

Home

FREE PDFs

🔍 Search