STEP 0: Pre-Calculation Summary
Formula Used
d4 = sqrt(2)/2/(sin(pi/16))*rc/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))
This formula uses 1 Constants, 2 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Trigonometric sine function, sin(Angle)
sqrt - Squre root function, sqrt(Number)
Variables Used
Diagonal across Four Sides of Hexadecagon - (Measured in Meter) - Diagonal across four sides of Hexadecagon is the straight line joining two non-adjacent vertices across four sides of Hexadecagon.
STEP 1: Convert Input(s) to Base Unit
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d4 = sqrt(2)/2/(sin(pi/16))*rc/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)) --> sqrt(2)/2/(sin(pi/16))*13/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))
Evaluating ... ...
d4 = 18.3847763108502
STEP 3: Convert Result to Output's Unit
18.3847763108502 Meter --> No Conversion Required
18.3847763108502 Meter <-- Diagonal across Four Sides of Hexadecagon
(Calculation completed in 00.011 seconds)
You are here -
Home » Math »

## Credits

Created by Himanshu Srivastava
Lloyd Business School (LBS), Greater Noida
Himanshu Srivastava has created this Calculator and 10 more calculators!
Verified by Nayana Phulphagar
Institute of chartered and financial Analysts of India National college (ICFAI National college), HUBLI
Nayana Phulphagar has verified this Calculator and 500+ more calculators!

## < 10+ Diagonal of Hexadecagon across Four Sides Calculators

Diagonal of Hexadecagon across Four Sides given Diagonal across Three Sides
Diagonal across Four Sides of Hexadecagon = ((sqrt(2)/2)/(sin(pi/16)))*Diagonal across Three Sides of Hexadecagon*((sin(pi/16))/(sin(3*pi/16))) Go
Diagonal of Hexadecagon across Four Sides given Diagonal across Five Sides
Diagonal across Four Sides of Hexadecagon = ((sqrt(2)/2)/(sin(pi/16)))*Diagonal across Five Sides of Hexadecagon*((sin(pi/16))/(sin(5*pi/16))) Go
Diagonal of Hexadecagon across Four Sides given Diagonal across Six Sides
Diagonal across Four Sides of Hexadecagon = ((sqrt(2)/2)/(sin(pi/16)))*Diagonal across Six Sides of Hexadecagon*((sin(pi/16))/(sin(3*pi/8))) Go
Diagonal of Hexadecagon across Four Sides given Diagonal across Two Sides
Diagonal across Four Sides of Hexadecagon = ((sqrt(2)/2)/(sin(pi/16)))*Diagonal across Two Sides of Hexadecagon*((sin(pi/16))/(sin(pi/8))) Go
Diagonal of Hexadecagon across Four Sides given Height
Diagonal of Hexadecagon across Four Sides given Area
Diagonal of Hexadecagon across Four Sides given Perimeter
Diagonal of Hexadecagon across Four Sides

d4 = sqrt(2)/2/(sin(pi/16))*rc/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))

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 Four Sides given Circumradius?

How to calculate Diagonal of Hexadecagon across Four Sides given Circumradius using this online calculator? To use this online calculator for Diagonal of Hexadecagon across Four Sides given Circumradius, enter Circumradius of Hexadecagon (rc) and hit the calculate button. Here is how the Diagonal of Hexadecagon across Four Sides given Circumradius calculation can be explained with given input values -> 18.38478 = sqrt(2)/2/(sin(pi/16))*13/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)).

### FAQ

How many ways are there to calculate Diagonal across Four Sides of Hexadecagon?
In this formula, Diagonal across Four Sides of Hexadecagon uses Circumradius of Hexadecagon. We can use 11 other way(s) to calculate the same, which is/are as follows -