Circumradius of Hexadecagon Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumradius of Hexadecagon = (sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*Side of Hexadecagon
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
Circumradius of Hexadecagon - (Measured in Meter) - Circumradius of Hexadecagon is the radius of a circumcircle touching each of the Hexadecagon's vertices.
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
FINAL ANSWER
12.8145772387075 Meter <-- Circumradius of Hexadecagon
(Calculation completed in 00.016 seconds)

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Walchand College of Engineering (WCE), Sangli
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10+ Circumradius of Hexadecagon Calculators

Circumradius of Hexadecagon given Diagonal across Seven Sides

Circumradius of Hexadecagon given Diagonal across Seven Sides

Formula
`"r"_{"c"} = "d"_{"7"}*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sin(7*pi/16)/sin(pi/16))`

Example
`"12.74489m"="25m"*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sin(7*pi/16)/sin(pi/16))`

Calculator
LaTeX
Go Circumradius of Hexadecagon = Diagonal across Seven Sides of Hexadecagon*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sin(7*pi/16)/sin(pi/16))
Circumradius of Hexadecagon given Diagonal across Three Sides

Circumradius of Hexadecagon given Diagonal across Three Sides

Formula
`"r"_{"c"} = "d"_{"3"}*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sin(3*pi/16)/sin(pi/16))`

Example
`"12.59967m"="14m"*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sin(3*pi/16)/sin(pi/16))`

Calculator
LaTeX
Go Circumradius of Hexadecagon = Diagonal across Three Sides of Hexadecagon*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sin(3*pi/16)/sin(pi/16))
Circumradius of Hexadecagon given Diagonal across Five Sides

Circumradius of Hexadecagon given Diagonal across Five Sides

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

Example
`"12.62824m"="21m"*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sin(5*pi/16)/sin(pi/16))`

Calculator
LaTeX
Go Circumradius of Hexadecagon = Diagonal across Five Sides of Hexadecagon*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sin(5*pi/16)/sin(pi/16))
Circumradius of Hexadecagon given Diagonal across Six Sides

Circumradius of Hexadecagon given Diagonal across Six Sides

Formula
`"r"_{"c"} = "d"_{"6"}*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sin(3*pi/8)/sin(pi/16))`

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

Calculator
LaTeX
Go Circumradius of Hexadecagon = Diagonal across Six Sides of Hexadecagon*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sin(3*pi/8)/sin(pi/16))
Circumradius of Hexadecagon given Diagonal across Two Sides

Circumradius of Hexadecagon given Diagonal across Two Sides

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

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

Calculator
LaTeX
Go Circumradius of Hexadecagon = Diagonal across Two Sides of Hexadecagon*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sin(pi/8)/sin(pi/16))
Circumradius of Hexadecagon given Diagonal across Four Sides

Circumradius of Hexadecagon given Diagonal across Four Sides

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

Example
`"12.72792m"="18m"*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sqrt(2)/2/(sin(pi/16)))`

Calculator
LaTeX
Go Circumradius of Hexadecagon = Diagonal across Four Sides of Hexadecagon*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sqrt(2)/2/(sin(pi/16)))
Circumradius of Hexadecagon given Area

Circumradius of Hexadecagon given Area

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

Example
`"12.77969m"=(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*(sqrt(("500m²")/(4*cot(pi/16)))) `

Calculator
LaTeX
Go Circumradius of Hexadecagon = (sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*(sqrt((Area of Hexadecagon)/(4*cot(pi/16))))
Circumradius of Hexadecagon given Perimeter

Circumradius of Hexadecagon given Perimeter

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

Example
`"12.81458m"=(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*("80m"/16)`

Calculator
LaTeX
Go Circumradius of Hexadecagon = (sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*(Perimeter of Hexadecagon/16)
Circumradius of Hexadecagon

Circumradius of Hexadecagon

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

Example
`"12.81458m"=(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*"5m"`

Calculator
LaTeX
Go Circumradius of Hexadecagon = (sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*Side of Hexadecagon
Circumradius of Hexadecagon given Diagonal across Eight Sides

Circumradius of Hexadecagon given Diagonal across Eight Sides

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

Example
`"13m"="26m"/2`

Calculator
LaTeX
Go Circumradius of Hexadecagon = Diagonal across Eight Sides of Hexadecagon/2

Circumradius of Hexadecagon Formula

Circumradius of Hexadecagon = (sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*Side of Hexadecagon
rc = (sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*S

What is a 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 Circumradius of Hexadecagon?

Circumradius of Hexadecagon calculator uses Circumradius of Hexadecagon = (sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*Side of Hexadecagon to calculate the Circumradius of 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. Circumradius of Hexadecagon is denoted by rc symbol.

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

What is Circumradius of 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 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.
How to calculate Circumradius of 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.
How many ways are there to calculate Circumradius of Hexadecagon?
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 -
  • Circumradius of Hexadecagon = Diagonal across Eight Sides of Hexadecagon/2
  • Circumradius of Hexadecagon = Diagonal across Seven Sides of Hexadecagon*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sin(7*pi/16)/sin(pi/16))
  • Circumradius of Hexadecagon = Diagonal across Six Sides of Hexadecagon*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sin(3*pi/8)/sin(pi/16))
  • Circumradius of Hexadecagon = Diagonal across Five Sides of Hexadecagon*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sin(5*pi/16)/sin(pi/16))
  • Circumradius of Hexadecagon = Diagonal across Four Sides of Hexadecagon*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sqrt(2)/2/(sin(pi/16)))
  • Circumradius of Hexadecagon = Diagonal across Three Sides of Hexadecagon*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sin(3*pi/16)/sin(pi/16))
  • Circumradius of Hexadecagon = Diagonal across Two Sides of Hexadecagon*(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))/(sin(pi/8)/sin(pi/16))
  • Circumradius of Hexadecagon = (sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*(sqrt((Area of Hexadecagon)/(4*cot(pi/16))))
  • Circumradius of Hexadecagon = (sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*(Perimeter of Hexadecagon/16)
  • Circumradius of Hexadecagon = ((sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)))*(Height of Hexadecagon/(sin(7*pi/16)/sin(pi/16)))
  • Circumradius of Hexadecagon = (sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*(Inradius of Hexadecagon/((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2))
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