Diagonal of Hexadecagon across Eight Sides given Height Calculator

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

+10%

-10%

✖Diagonal across Eight Sides of Hexadecagon is the straight line joining two non-adjacent vertices across eight sides of Hexadecagon.ⓘ Diagonal of Hexadecagon across Eight Sides given Height [d₈]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Hexadecagon Formula PDF PDF Image

Diagonal of Hexadecagon across Eight Sides given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal across Eight Sides of Hexadecagon = Height of Hexadecagon/sin((7*pi)/16)
d₈ = h/sin((7*pi)/16)
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

Diagonal across Eight Sides of Hexadecagon - (Measured in Meter) - Diagonal across Eight Sides of Hexadecagon is the straight line joining two non-adjacent vertices across eight sides of Hexadecagon.
Height of Hexadecagon - (Measured in Meter) - Height of Hexadecagon 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 Hexadecagon: 25 Meter --> 25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₈ = h/sin((7*pi)/16) --> 25/sin((7*pi)/16)

Evaluating ... ...

d₈ = 25.489778955208

STEP 3: Convert Result to Output's Unit

25.489778955208 Meter --> No Conversion Required

FINAL ANSWER

25.489778955208 ≈ 25.48978 Meter <-- Diagonal across Eight Sides of Hexadecagon

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Hexadecagon » Diagonal of Hexadecagon » Diagonal of Hexadecagon across Eight Sides » Diagonal of Hexadecagon across Eight Sides given Height

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< Diagonal of Hexadecagon across Eight Sides Calculators

Diagonal of Hexadecagon across Eight Sides given Area

LaTeX Go Diagonal across Eight Sides of Hexadecagon = sqrt(Area of Hexadecagon/(4*cot(pi/16)))*1/sin(pi/16)

Diagonal of Hexadecagon across Eight Sides given Height

LaTeX Go Diagonal across Eight Sides of Hexadecagon = Height of Hexadecagon/sin((7*pi)/16)

Diagonal of Hexadecagon across Eight Sides

LaTeX Go Diagonal across Eight Sides of Hexadecagon = (Side of Hexadecagon)/(sin(pi/16))

Diagonal of Hexadecagon across Eight Sides given Circumradius

LaTeX Go Diagonal across Eight Sides of Hexadecagon = 2*Circumradius of Hexadecagon

Diagonal of Hexadecagon across Eight Sides given Height Formula

LaTeX Go

Diagonal across Eight Sides of Hexadecagon = Height of Hexadecagon/sin((7*pi)/16)
d₈ = h/sin((7*pi)/16)

What is Hexadecagon?

A Hexadecagon is a 16-sided polygon, in which all angles are equal and all sides are congruent. Each angle of a regular hexadecagon is 157.5 degrees, and the total angle measure of any hexadecagon is 2520 degrees. Hexadecagons are sometimes used in art and architecture.

How to Calculate Diagonal of Hexadecagon across Eight Sides given Height?

Diagonal of Hexadecagon across Eight Sides given Height calculator uses Diagonal across Eight Sides of Hexadecagon = Height of Hexadecagon/sin((7*pi)/16) to calculate the Diagonal across Eight Sides of Hexadecagon, Diagonal of Hexadecagon across Eight Sides given Height formula is defined as the straight line connecting two non-adjacent vertices across eight sides of Hexadecagon, calculated using height. Diagonal across Eight Sides of Hexadecagon is denoted by d₈ symbol.

How to calculate Diagonal of Hexadecagon across Eight Sides given Height using this online calculator? To use this online calculator for Diagonal of Hexadecagon across Eight Sides given Height, enter Height of Hexadecagon (h) and hit the calculate button. Here is how the Diagonal of Hexadecagon across Eight Sides given Height calculation can be explained with given input values -> 25.48978 = 25/sin((7*pi)/16).

FAQ

What is Diagonal of Hexadecagon across Eight Sides given Height?

Diagonal of Hexadecagon across Eight Sides given Height formula is defined as the straight line connecting two non-adjacent vertices across eight sides of Hexadecagon, calculated using height and is represented as d₈ = h/sin((7*pi)/16) or Diagonal across Eight Sides of Hexadecagon = Height of Hexadecagon/sin((7*pi)/16). Height of Hexadecagon is the length of a perpendicular line drawn from one vertex to the opposite side.

How to calculate Diagonal of Hexadecagon across Eight Sides given Height?

Diagonal of Hexadecagon across Eight Sides given Height formula is defined as the straight line connecting two non-adjacent vertices across eight sides of Hexadecagon, calculated using height is calculated using Diagonal across Eight Sides of Hexadecagon = Height of Hexadecagon/sin((7*pi)/16). To calculate Diagonal of Hexadecagon across Eight Sides given Height, you need Height of Hexadecagon (h). With our tool, you need to enter the respective value for Height of Hexadecagon 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 Diagonal across Eight Sides of Hexadecagon?

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

Diagonal across Eight Sides of Hexadecagon = (Side of Hexadecagon)/(sin(pi/16))
Diagonal across Eight Sides of Hexadecagon = 2*Circumradius of Hexadecagon
Diagonal across Eight Sides of Hexadecagon = sqrt(Area of Hexadecagon/(4*cot(pi/16)))*1/sin(pi/16)

Home

FREE PDFs

🔍 Search