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## Circumradius of Octagon given long diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
rc = ((p/(4+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
Long diagonal - Long diagonal is a straight line joining two opposite corners of a given polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Long diagonal: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = ((p/(4+2*sqrt(2)))/2)*sqrt(4+2*sqrt(2)) --> ((10/(4+2*sqrt(2)))/2)*sqrt(4+2*sqrt(2))
Evaluating ... ...
rc = 1.91341716182545
STEP 3: Convert Result to Output's Unit
1.91341716182545 Meter --> No Conversion Required
(Calculation completed in 00.000 seconds)

## < 9 Circumradius of Octagon Calculators

Circumradius of Octagon given short diagonal
Circumradius of Octagon given medium diagonal
Circumradius of Octagon given long diagonal
Circumradius of Octagon given side and angle

### Circumradius of Octagon given long diagonal Formula

rc = ((p/(4+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 long diagonal?

Circumradius of Octagon given long diagonal calculator uses circumradius = ((Long diagonal/(4+2*sqrt(2)))/2)*sqrt(4+2*sqrt(2)) to calculate the Circumradius, The Circumradius of Octagon given long diagonal 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 long diagonal using this online calculator? To use this online calculator for Circumradius of Octagon given long diagonal, enter Long diagonal (p) and hit the calculate button. Here is how the Circumradius of Octagon given long diagonal calculation can be explained with given input values -> 1.913417 = ((10/(4+2*sqrt(2)))/2)*sqrt(4+2*sqrt(2)).

### FAQ

What is Circumradius of Octagon given long diagonal?
The Circumradius of Octagon given long diagonal 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/(4+2*sqrt(2)))/2)*sqrt(4+2*sqrt(2)) or circumradius = ((Long diagonal/(4+2*sqrt(2)))/2)*sqrt(4+2*sqrt(2)). Long diagonal is a straight line joining two opposite corners of a given polygon.
How to calculate Circumradius of Octagon given long diagonal?
The Circumradius of Octagon given long diagonal 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 = ((Long diagonal/(4+2*sqrt(2)))/2)*sqrt(4+2*sqrt(2)). To calculate Circumradius of Octagon given long diagonal, you need Long diagonal (p). With our tool, you need to enter the respective value for Long 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 Long diagonal. We can use 9 other way(s) to calculate the same, which is/are as follows - 