Circumradius of Octagon given Area Calculator

✖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.ⓘ Circumradius of Octagon given Area [r_c]

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Formula

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Circumradius of Octagon given Area

Formula

`"r"_{"c"} = sqrt("A"/(2*sqrt(2)))`

Example

`"13.02711m"=sqrt("480m²"/(2*sqrt(2)))`

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Circumradius of Octagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Octagon = sqrt(Area of Octagon/(2*sqrt(2)))
r_c = sqrt(A/(2*sqrt(2)))
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.
Area of Octagon - (Measured in Square Meter) - The Area of Octagon is the total quantity of plane enclosed by the boundary of the Regular Octagon.

STEP 1: Convert Input(s) to Base Unit

Area of Octagon: 480 Square Meter --> 480 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt(A/(2*sqrt(2))) --> sqrt(480/(2*sqrt(2)))

Evaluating ... ...

r_c = 13.0271112486526

STEP 3: Convert Result to Output's Unit

13.0271112486526 Meter --> No Conversion Required

FINAL ANSWER

13.0271112486526 ≈ 13.02711 Meter <-- Circumradius of Octagon

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Walchand College of Engineering (WCE), Sangli

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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

Circumradius of Octagon given Area Formula

Circumradius of Octagon = sqrt(Area of Octagon/(2*sqrt(2)))
r_c = sqrt(A/(2*sqrt(2)))

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 Area?

Circumradius of Octagon given Area calculator uses Circumradius of Octagon = sqrt(Area of Octagon/(2*sqrt(2))) to calculate the Circumradius of Octagon, The Circumradius of Octagon given Area 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 area of the Octagon. Circumradius of Octagon is denoted by r_c 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 of Octagon (A) and hit the calculate button. Here is how the Circumradius of Octagon given Area calculation can be explained with given input values -> 13.02711 = sqrt(480/(2*sqrt(2))).

FAQ

What is Circumradius of Octagon given Area?

The Circumradius of Octagon given Area 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 area of the Octagon and is represented as r_c = sqrt(A/(2*sqrt(2))) or Circumradius of Octagon = sqrt(Area of Octagon/(2*sqrt(2))). The Area of Octagon is the total quantity of plane enclosed by the boundary of the Regular Octagon.

How to calculate Circumradius of Octagon given Area?

The Circumradius of Octagon given Area 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 area of the Octagon is calculated using Circumradius of Octagon = sqrt(Area of Octagon/(2*sqrt(2))). To calculate Circumradius of Octagon given Area, you need Area of Octagon (A). With our tool, you need to enter the respective value for Area 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 Area of Octagon. We can use 7 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(1-(1/sqrt(2)))*Height of Octagon
Circumradius of Octagon = sqrt(4+(2*sqrt(2)))*Perimeter of Octagon/16
Circumradius of Octagon = sqrt(4-(2*sqrt(2)))*Inradius of Octagon

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