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Circumradius of Octagon given short diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = (((Short diagonal/(sqrt(2+sqrt(2)))))/2)*sqrt(4+2*sqrt(2))
rc = (((r/(sqrt(2+sqrt(2)))))/2)*sqrt(4+2*sqrt(2))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Short diagonal - Short diagonal is a straight line joining two opposite corners of a given polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Short diagonal: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = (((r/(sqrt(2+sqrt(2)))))/2)*sqrt(4+2*sqrt(2)) --> (((5/(sqrt(2+sqrt(2)))))/2)*sqrt(4+2*sqrt(2))
Evaluating ... ...
rc = 3.53553390593274
STEP 3: Convert Result to Output's Unit
3.53553390593274 Meter --> No Conversion Required
FINAL ANSWER
3.53553390593274 Meter <-- Circumradius
(Calculation completed in 00.016 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 short diagonal Formula

circumradius = (((Short diagonal/(sqrt(2+sqrt(2)))))/2)*sqrt(4+2*sqrt(2))
rc = (((r/(sqrt(2+sqrt(2)))))/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 short diagonal?

Circumradius of Octagon given short diagonal calculator uses circumradius = (((Short diagonal/(sqrt(2+sqrt(2)))))/2)*sqrt(4+2*sqrt(2)) to calculate the Circumradius, The Circumradius of Octagon given short diagonal formula is defined as straight line from the centre to the circumference of an octagon. Circumradius and is denoted by rc symbol.

How to calculate Circumradius of Octagon given short diagonal using this online calculator? To use this online calculator for Circumradius of Octagon given short diagonal, enter Short diagonal (r) and hit the calculate button. Here is how the Circumradius of Octagon given short diagonal calculation can be explained with given input values -> 3.535534 = (((5/(sqrt(2+sqrt(2)))))/2)*sqrt(4+2*sqrt(2)).

FAQ

What is Circumradius of Octagon given short diagonal?
The Circumradius of Octagon given short diagonal formula is defined as straight line from the centre to the circumference of an octagon and is represented as rc = (((r/(sqrt(2+sqrt(2)))))/2)*sqrt(4+2*sqrt(2)) or circumradius = (((Short diagonal/(sqrt(2+sqrt(2)))))/2)*sqrt(4+2*sqrt(2)). Short diagonal is a straight line joining two opposite corners of a given polygon.
How to calculate Circumradius of Octagon given short diagonal?
The Circumradius of Octagon given short diagonal formula is defined as straight line from the centre to the circumference of an octagon is calculated using circumradius = (((Short diagonal/(sqrt(2+sqrt(2)))))/2)*sqrt(4+2*sqrt(2)). To calculate Circumradius of Octagon given short diagonal, you need Short diagonal (r). With our tool, you need to enter the respective value for Short diagonal 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 Short diagonal. 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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