STEP 0: Pre-Calculation Summary
Formula Used
rc = (sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*S
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
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
rc = (sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*S --> (sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*5
Evaluating ... ...
rc = 12.8145772387075
STEP 3: Convert Result to Output's Unit
12.8145772387075 Meter --> No Conversion Required
(Calculation completed in 00.016 seconds)
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## Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Formula
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"r"_{"c"} = "d"_{"3"}*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sin(3*pi/16)/sin(pi/16))

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"r"_{"c"} = "d"_{"5"}*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sin(5*pi/16)/sin(pi/16))

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"12.98871m"="24m"*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sin(3*pi/8)/sin(pi/16))

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"r"_{"c"} = "d"_{"2"}*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sin(pi/8)/sin(pi/16))

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"13.06563m"="10m"*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sin(pi/8)/sin(pi/16))

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"r"_{"c"} = "d"_{"4"}*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sqrt(2)/2/(sin(pi/16)))

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"r"_{"c"} = (sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*(sqrt(("A")/(4*cot(pi/16))))

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"r"_{"c"} = (sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*("P"/16)

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Formula
"r"_{"c"} = (sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*"S"

Example
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Formula
"r"_{"c"} = "d"_{"8"}/2

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"13m"="26m"/2

Calculator
LaTeX

rc = (sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*S

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 Circumradius of Hexadecagon using this online calculator? To use this online calculator for Circumradius of Hexadecagon, enter Side of Hexadecagon (S) and hit the calculate button. Here is how the Circumradius of Hexadecagon calculation can be explained with given input values -> 12.81458 = (sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*5.

### FAQ

Circumradius of Hexadecagon given side formula is defined as a straight line connecting circumcenter and any point on the circle that touches all the vertices of the Hexadecagon and is represented as rc = (sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*S or Circumradius of Hexadecagon = (sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*Side of Hexadecagon. Side of Hexadecagon is a line segment forming part of the perimeter of a Hexadecagon.
Circumradius of Hexadecagon given side formula is defined as a straight line connecting circumcenter and any point on the circle that touches all the vertices of the Hexadecagon is calculated using Circumradius of Hexadecagon = (sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*Side of Hexadecagon. To calculate Circumradius of Hexadecagon, 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.
In this formula, Circumradius of Hexadecagon uses Side of Hexadecagon. We can use 11 other way(s) to calculate the same, which is/are as follows -