Circumradius of Octagon given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Height of Octagon
rc = sqrt(1-(1/sqrt(2)))*h
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 Octagon - (Measured in Meter) - The Circumradius of Octagon is the radius of circumcircle of the Regular Octagon or the circle that contains the Octagon with all vertices lies on that circle.
Height of Octagon - (Measured in Meter) - The Height of Octagon is the vertical distance from the bottom edge to the top edge of the Regular Octagon.
STEP 1: Convert Input(s) to Base Unit
Height of Octagon: 24 Meter --> 24 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = sqrt(1-(1/sqrt(2)))*h --> sqrt(1-(1/sqrt(2)))*24
Evaluating ... ...
rc = 12.9887064035087
STEP 3: Convert Result to Output's Unit
12.9887064035087 Meter --> No Conversion Required
FINAL ANSWER
12.9887064035087 12.98871 Meter <-- Circumradius of Octagon
(Calculation completed in 00.004 seconds)

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8 Circumradius of Octagon Calculators

Circumradius of Octagon given Medium Diagonal
Go Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Medium Diagonal of Octagon
Circumradius of Octagon given Perimeter
Go Circumradius of Octagon = sqrt(4+(2*sqrt(2)))*Perimeter of Octagon/16
Circumradius of Octagon
Go Circumradius of Octagon = sqrt(1+(1/sqrt(2)))*Edge Length of Octagon
Circumradius of Octagon given Inradius
Go Circumradius of Octagon = sqrt(4-(2*sqrt(2)))*Inradius of Octagon
Circumradius of Octagon given Height
Go Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Height of Octagon
Circumradius of Octagon given Area
Go Circumradius of Octagon = sqrt(Area of Octagon/(2*sqrt(2)))
Circumradius of Octagon given Short Diagonal
Go Circumradius of Octagon = Short Diagonal of Octagon/(sqrt(2))
Circumradius of Octagon given Long Diagonal
Go Circumradius of Octagon = Long Diagonal of Octagon/2

5 Radius of Octagon Calculators

Circumradius of Octagon
Go Circumradius of Octagon = sqrt(1+(1/sqrt(2)))*Edge Length of Octagon
Circumradius of Octagon given Height
Go Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Height of Octagon
Inradius of Octagon
Go Inradius of Octagon = ((1+sqrt(2))/2)*Edge Length of Octagon
Inradius of Octagon given Height
Go Inradius of Octagon = Height of Octagon/2
Inradius of Octagon given Width
Go Inradius of Octagon = Width of Octagon/2

Circumradius of Octagon given Height Formula

Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Height of Octagon
rc = sqrt(1-(1/sqrt(2)))*h

What is an Octagon?

Octagon is a polygon in geometry, which has 8 sides and 8 angles. That means the number of vertices is 8 and the number of edges is 8. All the sides are joined with each other end-to-end to form a shape. These sides are in a straight line form; they are not curved or disjoint with each other. Each interior angle of a regular octagon is 135° and each exterior angle will be 45°.

How to Calculate Circumradius of Octagon given Height?

Circumradius of Octagon given Height calculator uses Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Height of Octagon to calculate the Circumradius of Octagon, The Circumradius of Octagon given Height formula is defined as the radius of circumcircle of the Regular Octagon or the circle that contains the Octagon with all vertices lies on that circle, and calculated using height of the Octagon. Circumradius of Octagon is denoted by rc symbol.

How to calculate Circumradius of Octagon given Height using this online calculator? To use this online calculator for Circumradius of Octagon given Height, enter Height of Octagon (h) and hit the calculate button. Here is how the Circumradius of Octagon given Height calculation can be explained with given input values -> 12.98871 = sqrt(1-(1/sqrt(2)))*24.

FAQ

What is Circumradius of Octagon given Height?
The Circumradius of Octagon given Height formula is defined as the radius of circumcircle of the Regular Octagon or the circle that contains the Octagon with all vertices lies on that circle, and calculated using height of the Octagon and is represented as rc = sqrt(1-(1/sqrt(2)))*h or Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Height of Octagon. The Height of Octagon is the vertical distance from the bottom edge to the top edge of the Regular Octagon.
How to calculate Circumradius of Octagon given Height?
The Circumradius of Octagon given Height formula is defined as the radius of circumcircle of the Regular Octagon or the circle that contains the Octagon with all vertices lies on that circle, and calculated using height of the Octagon is calculated using Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Height of Octagon. To calculate Circumradius of Octagon given Height, you need Height of Octagon (h). With our tool, you need to enter the respective value for Height of Octagon 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 Octagon?
In this formula, Circumradius of Octagon uses Height of Octagon. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Circumradius of Octagon = sqrt(1+(1/sqrt(2)))*Edge Length of Octagon
  • Circumradius of Octagon = Long Diagonal of Octagon/2
  • Circumradius of Octagon = sqrt(1-(1/sqrt(2)))*Medium Diagonal of Octagon
  • Circumradius of Octagon = Short Diagonal of Octagon/(sqrt(2))
  • Circumradius of Octagon = sqrt(4+(2*sqrt(2)))*Perimeter of Octagon/16
  • Circumradius of Octagon = sqrt(Area of Octagon/(2*sqrt(2)))
  • Circumradius of Octagon = sqrt(4-(2*sqrt(2)))*Inradius of Octagon
  • Circumradius of Octagon = sqrt(1+(1/sqrt(2)))*Edge Length of Octagon
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