Circumradius of Hexadecagon given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Perimeter of Hexadecagon/16
rc = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*P/16
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., 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.
Perimeter of Hexadecagon - (Measured in Meter) - Perimeter of Hexadecagon is the total distance around the edge of the Hexadecagon.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Hexadecagon: 80 Meter --> 80 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)*P/16 --> sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*80/16
Evaluating ... ...
rc = 12.8145772387075
STEP 3: Convert Result to Output's Unit
12.8145772387075 Meter --> No Conversion Required
FINAL ANSWER
12.8145772387075 12.81458 Meter <-- Circumradius of Hexadecagon
(Calculation completed in 00.004 seconds)

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12 Circumradius of Hexadecagon Calculators

Circumradius of Hexadecagon given Diagonal across Seven Sides
Go Circumradius of Hexadecagon = (Diagonal across Seven Sides of Hexadecagon*sin(pi/16))/sin((7*pi)/16)*sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)
Circumradius of Hexadecagon given Diagonal across Three Sides
Go Circumradius of Hexadecagon = (Diagonal across Three Sides of Hexadecagon*sin(pi/16))/sin((3*pi)/16)*sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)
Circumradius of Hexadecagon given Diagonal across Five Sides
Go Circumradius of Hexadecagon = (Diagonal across Five Sides of Hexadecagon*sin(pi/16))/sin((5*pi)/16)*sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)
Circumradius of Hexadecagon given Diagonal across Six Sides
Go Circumradius of Hexadecagon = (Diagonal across Six Sides of Hexadecagon*sin(pi/16))/sin((3*pi)/8)*sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)
Circumradius of Hexadecagon given Diagonal across Two Sides
Go Circumradius of Hexadecagon = (Diagonal across Two Sides of Hexadecagon*sin(pi/16))/sin(pi/8)*sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)
Circumradius of Hexadecagon given Height
Go Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*(Height of Hexadecagon*sin(pi/16))/sin((7*pi)/16)
Circumradius of Hexadecagon given Diagonal across Four Sides
Go Circumradius of Hexadecagon = sqrt(2)*Diagonal across Four Sides of Hexadecagon*sin(pi/16)*sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)
Circumradius of Hexadecagon given Inradius
Go 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))
Circumradius of Hexadecagon given Area
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
Go Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Perimeter of Hexadecagon/16
Circumradius of Hexadecagon
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
Go Circumradius of Hexadecagon = Diagonal across Eight Sides of Hexadecagon/2

Circumradius of Hexadecagon given Perimeter Formula

Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Perimeter of Hexadecagon/16
rc = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*P/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 Circumradius of Hexadecagon given Perimeter?

Circumradius of Hexadecagon given Perimeter calculator uses Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Perimeter of Hexadecagon/16 to calculate the Circumradius of Hexadecagon, The Circumradius of Hexadecagon given Perimeter formula is defined as the straight line connecting the circumcenter and any point on the circle that touches all the vertices of Hexadecagon, calculated using perimeter. Circumradius of Hexadecagon is denoted by rc symbol.

How to calculate Circumradius of Hexadecagon given Perimeter using this online calculator? To use this online calculator for Circumradius of Hexadecagon given Perimeter, enter Perimeter of Hexadecagon (P) and hit the calculate button. Here is how the Circumradius of Hexadecagon given Perimeter calculation can be explained with given input values -> 12.81458 = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*80/16.

FAQ

What is Circumradius of Hexadecagon given Perimeter?
The Circumradius of Hexadecagon given Perimeter formula is defined as the straight line connecting the circumcenter and any point on the circle that touches all the vertices of Hexadecagon, calculated using perimeter and is represented as rc = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*P/16 or Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Perimeter of Hexadecagon/16. Perimeter of Hexadecagon is the total distance around the edge of the Hexadecagon.
How to calculate Circumradius of Hexadecagon given Perimeter?
The Circumradius of Hexadecagon given Perimeter formula is defined as the straight line connecting the circumcenter and any point on the circle that touches all the vertices of Hexadecagon, calculated using perimeter is calculated using Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Perimeter of Hexadecagon/16. To calculate Circumradius of Hexadecagon given Perimeter, you need Perimeter of Hexadecagon (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter 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 = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Side of Hexadecagon
  • Circumradius of Hexadecagon = (Diagonal across Seven Sides of Hexadecagon*sin(pi/16))/sin((7*pi)/16)*sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)
  • Circumradius of Hexadecagon = (Diagonal across Six Sides of Hexadecagon*sin(pi/16))/sin((3*pi)/8)*sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)
  • Circumradius of Hexadecagon = (Diagonal across Five Sides of Hexadecagon*sin(pi/16))/sin((5*pi)/16)*sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)
  • Circumradius of Hexadecagon = sqrt(2)*Diagonal across Four Sides of Hexadecagon*sin(pi/16)*sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)
  • Circumradius of Hexadecagon = (Diagonal across Three Sides of Hexadecagon*sin(pi/16))/sin((3*pi)/16)*sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)
  • Circumradius of Hexadecagon = (Diagonal across Two Sides of Hexadecagon*sin(pi/16))/sin(pi/8)*sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)
  • 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)*(Height of Hexadecagon*sin(pi/16))/sin((7*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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