Diagonal of Hexadecagon across Five Sides Calculator

✖Side of Hexadecagon is a line segment forming part of the perimeter of a Hexadecagon.ⓘ Side of Hexadecagon [S]

+10%

-10%

✖Diagonal across Five Sides of Hexadecagon is the straight line joining two non-adjacent vertices across five sides of Hexadecagon.ⓘ Diagonal of Hexadecagon across Five Sides [d₅]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Hexadecagon Formula PDF PDF Image

Diagonal of Hexadecagon across Five Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal across Five Sides of Hexadecagon = sin((5*pi)/16)/sin(pi/16)*Side of Hexadecagon
d₅ = sin((5*pi)/16)/sin(pi/16)*S
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 Five Sides of Hexadecagon - (Measured in Meter) - Diagonal across Five Sides of Hexadecagon is the straight line joining two non-adjacent vertices across five sides of Hexadecagon.
Side of Hexadecagon - (Measured in Meter) - Side of Hexadecagon is a line segment forming part of the perimeter of a Hexadecagon.

STEP 1: Convert Input(s) to Base Unit

Side of Hexadecagon: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₅ = sin((5*pi)/16)/sin(pi/16)*S --> sin((5*pi)/16)/sin(pi/16)*5

Evaluating ... ...

d₅ = 21.3098631369783

STEP 3: Convert Result to Output's Unit

21.3098631369783 Meter --> No Conversion Required

FINAL ANSWER

21.3098631369783 ≈ 21.30986 Meter <-- Diagonal across Five Sides of Hexadecagon

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Hexadecagon » Diagonal of Hexadecagon » Diagonal of Hexadecagon across Five Sides » Diagonal of Hexadecagon across Five Sides

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 Five Sides Calculators

Diagonal of Hexadecagon across Five Sides given Area

LaTeX Go Diagonal across Five Sides of Hexadecagon = sqrt(Area of Hexadecagon/(4*cot(pi/16)))*sin((5*pi)/16)/sin(pi/16)

Diagonal of Hexadecagon across Five Sides given Perimeter

LaTeX Go Diagonal across Five Sides of Hexadecagon = sin((5*pi)/16)/sin(pi/16)*Perimeter of Hexadecagon/16

Diagonal of Hexadecagon across Five Sides given Height

LaTeX Go Diagonal across Five Sides of Hexadecagon = Height of Hexadecagon*sin((5*pi)/16)/sin((7*pi)/16)

Diagonal of Hexadecagon across Five Sides

LaTeX Go Diagonal across Five Sides of Hexadecagon = sin((5*pi)/16)/sin(pi/16)*Side of Hexadecagon

< Diagonal of Hexadecagon Calculators

Diagonal of Hexadecagon across Seven Sides

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

Diagonal of Hexadecagon across Five Sides

LaTeX Go Diagonal across Five Sides of Hexadecagon = sin((5*pi)/16)/sin(pi/16)*Side of Hexadecagon

Diagonal of Hexadecagon across Four Sides

LaTeX Go Diagonal across Four Sides of Hexadecagon = Side of Hexadecagon/(sqrt(2)*sin(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 Five Sides Formula

LaTeX Go

Diagonal across Five Sides of Hexadecagon = sin((5*pi)/16)/sin(pi/16)*Side of Hexadecagon
d₅ = sin((5*pi)/16)/sin(pi/16)*S

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 Five Sides?

Diagonal of Hexadecagon across Five Sides calculator uses Diagonal across Five Sides of Hexadecagon = sin((5*pi)/16)/sin(pi/16)*Side of Hexadecagon to calculate the Diagonal across Five Sides of Hexadecagon, Diagonal of Hexadecagon across Five Sides formula is defined as a straight line connecting two non-adjacent vertices across five sides of the Hexadecagon. Diagonal across Five Sides of Hexadecagon is denoted by d₅ symbol.

How to calculate Diagonal of Hexadecagon across Five Sides using this online calculator? To use this online calculator for Diagonal of Hexadecagon across Five Sides, enter Side of Hexadecagon (S) and hit the calculate button. Here is how the Diagonal of Hexadecagon across Five Sides calculation can be explained with given input values -> 21.30986 = sin((5*pi)/16)/sin(pi/16)*5.

FAQ

What is Diagonal of Hexadecagon across Five Sides?

Diagonal of Hexadecagon across Five Sides formula is defined as a straight line connecting two non-adjacent vertices across five sides of the Hexadecagon and is represented as d₅ = sin((5*pi)/16)/sin(pi/16)*S or Diagonal across Five Sides of Hexadecagon = sin((5*pi)/16)/sin(pi/16)*Side of Hexadecagon. Side of Hexadecagon is a line segment forming part of the perimeter of a Hexadecagon.

How to calculate Diagonal of Hexadecagon across Five Sides?

Diagonal of Hexadecagon across Five Sides formula is defined as a straight line connecting two non-adjacent vertices across five sides of the Hexadecagon is calculated using Diagonal across Five Sides of Hexadecagon = sin((5*pi)/16)/sin(pi/16)*Side of Hexadecagon. To calculate Diagonal of Hexadecagon across Five Sides, you need Side of Hexadecagon (S). With our tool, you need to enter the respective value for Side 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 Five Sides of Hexadecagon?

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

Diagonal across Five Sides of Hexadecagon = Height of Hexadecagon*sin((5*pi)/16)/sin((7*pi)/16)
Diagonal across Five Sides of Hexadecagon = sqrt(Area of Hexadecagon/(4*cot(pi/16)))*sin((5*pi)/16)/sin(pi/16)
Diagonal across Five Sides of Hexadecagon = sin((5*pi)/16)/sin(pi/16)*Perimeter of Hexadecagon/16

Home

FREE PDFs

🔍 Search