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Circumradius of Octagon given perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = ((Perimeter/8)/2)*sqrt(4+2*sqrt(2))
rc = ((P/8)/2)*sqrt(4+2*sqrt(2))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Perimeter - The perimeter of a figure is the total distance around the edge of the figure. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Perimeter: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = ((P/8)/2)*sqrt(4+2*sqrt(2)) --> ((20/8)/2)*sqrt(4+2*sqrt(2))
Evaluating ... ...
rc = 3.26640741219094
STEP 3: Convert Result to Output's Unit
3.26640741219094 Meter --> No Conversion Required
FINAL ANSWER
3.26640741219094 Meter <-- Circumradius
(Calculation completed in 00.000 seconds)

9 Circumradius of Octagon Calculators

Circumradius of Octagon given short diagonal
circumradius = (((Short diagonal/(sqrt(2+sqrt(2)))))/2)*sqrt(4+2*sqrt(2)) Go
Circumradius of Octagon given area
circumradius = ((sqrt(Area/(2*(1+sqrt(2)))))/2)*sqrt(4+2*sqrt(2)) Go
Circumradius of Octagon given medium diagonal
circumradius = ((Medium diagonal/(1+sqrt(2)))/2)*sqrt(4+2*sqrt(2)) Go
Circumradius of Octagon given long diagonal
circumradius = ((Long diagonal/(4+2*sqrt(2)))/2)*sqrt(4+2*sqrt(2)) Go
Circumradius of Octagon given inradius
circumradius = (((2*Inradius)/(1+sqrt(2)))/2)*sqrt(4+2*sqrt(2)) Go
Circumradius of Octagon given height
circumradius = ((Height/(1+sqrt(2)))/2)*sqrt(4+2*sqrt(2)) Go
Circumradius of Octagon given perimeter
circumradius = ((Perimeter/8)/2)*sqrt(4+2*sqrt(2)) Go
Circumradius of Octagon
circumradius = (Side/2)*sqrt(4+2*sqrt(2)) Go
Circumradius of Octagon given side and angle
circumradius = Side/(2*sin(Angle A/2)) Go

Circumradius of Octagon given perimeter Formula

circumradius = ((Perimeter/8)/2)*sqrt(4+2*sqrt(2))
rc = ((P/8)/2)*sqrt(4+2*sqrt(2))

What is an octagon?

Octagon is a polygon with eight sides and eight vertices. An octagon, like any other polygon, can be either convex or concave, as illustrated in the next figure. A convex octagon has none of its interior angles greater than 180°. To the contrary, a concave octagon (or polygon) has one or more of its interior angles greater than 180°

How to Calculate Circumradius of Octagon given perimeter?

Circumradius of Octagon given perimeter calculator uses circumradius = ((Perimeter/8)/2)*sqrt(4+2*sqrt(2)) to calculate the Circumradius, The Circumradius of Octagon given perimeter formula is defined as straight line from the centre to the circumference of an octagon, where radius= radius of octagon Rc=1.307*a where a is side and Rc is circumradius of octagon. Circumradius and is denoted by rc symbol.

How to calculate Circumradius of Octagon given perimeter using this online calculator? To use this online calculator for Circumradius of Octagon given perimeter, enter Perimeter (P) and hit the calculate button. Here is how the Circumradius of Octagon given perimeter calculation can be explained with given input values -> 3.266407 = ((20/8)/2)*sqrt(4+2*sqrt(2)).

FAQ

What is Circumradius of Octagon given perimeter?
The Circumradius of Octagon given perimeter formula is defined as straight line from the centre to the circumference of an octagon, where radius= radius of octagon Rc=1.307*a where a is side and Rc is circumradius of octagon and is represented as rc = ((P/8)/2)*sqrt(4+2*sqrt(2)) or circumradius = ((Perimeter/8)/2)*sqrt(4+2*sqrt(2)). The perimeter of a figure is the total distance around the edge of the figure.
How to calculate Circumradius of Octagon given perimeter?
The Circumradius of Octagon given perimeter formula is defined as straight line from the centre to the circumference of an octagon, where radius= radius of octagon Rc=1.307*a where a is side and Rc is circumradius of octagon is calculated using circumradius = ((Perimeter/8)/2)*sqrt(4+2*sqrt(2)). To calculate Circumradius of Octagon given perimeter, you need Perimeter (P). With our tool, you need to enter the respective value for Perimeter 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?
In this formula, Circumradius uses Perimeter. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • circumradius = Side/(2*sin(Angle A/2))
  • circumradius = (Side/2)*sqrt(4+2*sqrt(2))
  • circumradius = ((Long diagonal/(4+2*sqrt(2)))/2)*sqrt(4+2*sqrt(2))
  • circumradius = ((Medium diagonal/(1+sqrt(2)))/2)*sqrt(4+2*sqrt(2))
  • circumradius = (((Short diagonal/(sqrt(2+sqrt(2)))))/2)*sqrt(4+2*sqrt(2))
  • circumradius = ((Height/(1+sqrt(2)))/2)*sqrt(4+2*sqrt(2))
  • circumradius = ((Perimeter/8)/2)*sqrt(4+2*sqrt(2))
  • circumradius = ((sqrt(Area/(2*(1+sqrt(2)))))/2)*sqrt(4+2*sqrt(2))
  • circumradius = (((2*Inradius)/(1+sqrt(2)))/2)*sqrt(4+2*sqrt(2))
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