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Circumradius of Octagon given area Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = ((sqrt(Area/(2*(1+sqrt(2)))))/2)*sqrt(4+2*sqrt(2))
rc = ((sqrt(A/(2*(1+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
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = ((sqrt(A/(2*(1+sqrt(2)))))/2)*sqrt(4+2*sqrt(2)) --> ((sqrt(50/(2*(1+sqrt(2)))))/2)*sqrt(4+2*sqrt(2))
Evaluating ... ...
rc = 4.20448207626857
STEP 3: Convert Result to Output's Unit
4.20448207626857 Meter --> No Conversion Required
FINAL ANSWER
4.20448207626857 Meter <-- Circumradius
(Calculation completed in 00.015 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 area Formula

circumradius = ((sqrt(Area/(2*(1+sqrt(2)))))/2)*sqrt(4+2*sqrt(2))
rc = ((sqrt(A/(2*(1+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 area?

Circumradius of Octagon given area calculator uses circumradius = ((sqrt(Area/(2*(1+sqrt(2)))))/2)*sqrt(4+2*sqrt(2)) to calculate the Circumradius, The Circumradius of Octagon given area 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 area using this online calculator? To use this online calculator for Circumradius of Octagon given area, enter Area (A) and hit the calculate button. Here is how the Circumradius of Octagon given area calculation can be explained with given input values -> 4.204482 = ((sqrt(50/(2*(1+sqrt(2)))))/2)*sqrt(4+2*sqrt(2)).

FAQ

What is Circumradius of Octagon given area?
The Circumradius of Octagon given area 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 = ((sqrt(A/(2*(1+sqrt(2)))))/2)*sqrt(4+2*sqrt(2)) or circumradius = ((sqrt(Area/(2*(1+sqrt(2)))))/2)*sqrt(4+2*sqrt(2)). The area is the amount of two-dimensional space taken up by an object.
How to calculate Circumradius of Octagon given area?
The Circumradius of Octagon given area 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 = ((sqrt(Area/(2*(1+sqrt(2)))))/2)*sqrt(4+2*sqrt(2)). To calculate Circumradius of Octagon given area, you need Area (A). With our tool, you need to enter the respective value for Area 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 Area. 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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