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Circumradius of Octagon given Perimeter Formula

GoCircumradius of Octagon Formula

GoCircumradius of Octagon given Long Diagonal Formula

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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. Check FAQs

r c = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot \frac{P}{16}

r_c - Circumradius of Octagon?P - Perimeter of Octagon?

Circumradius of Octagon given Perimeter Example

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Here is how the Circumradius of Octagon given Perimeter equation looks like with Values.

Here is how the Circumradius of Octagon given Perimeter equation looks like with Units.

Here is how the Circumradius of Octagon given Perimeter equation looks like.

13.0656 = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot \frac{80}{16}

13.0656m = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot \frac{80m}{16}

13.0656 = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot \frac{80}{16}

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Circumradius of Octagon given Perimeter Solution

Follow our step by step solution on how to calculate Circumradius of Octagon given Perimeter?

FIRST Step Consider the formula

r c = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot \frac{P}{16}

Next Step Substitute values of Variables

∴

r c = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot \frac{80m}{16}

Next Step Prepare to Evaluate

∴

r c = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot \frac{80}{16}

Next Step Evaluate

∴

r c = 13.0656296487638m

LAST Step Rounding Answer

∴

r c = 13.0656m

Circumradius of Octagon given Perimeter Formula Elements

Variables

Functions

Circumradius of Octagon

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.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Octagon

Perimeter of Octagon

The Perimeter of Octagon is the total length of all the boundary lines of the Regular Octagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Octagon

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.

Syntax: sqrt(Number)

Other Formulas to find Circumradius of Octagon

Go Circumradius of Octagon

r c = \sqrt{1 + (\frac{1}{\sqrt{2}})} \cdot l e

Go Circumradius of Octagon given Long Diagonal

r c = \frac{d Long}{2}

Go Circumradius of Octagon given Medium Diagonal

r c = \sqrt{1 - (\frac{1}{\sqrt{2}})} \cdot d Medium

Go Circumradius of Octagon given Short Diagonal

r c = \frac{d Short}{\sqrt{2}}

How to Evaluate Circumradius of Octagon given Perimeter?

Circumradius of Octagon given Perimeter evaluator uses Circumradius of Octagon = sqrt(4+(2*sqrt(2)))*Perimeter of Octagon/16 to evaluate the Circumradius of Octagon, The Circumradius of Octagon given Perimeter 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 perimeter of the Octagon. Circumradius of Octagon is denoted by r_c symbol.

How to evaluate Circumradius of Octagon given Perimeter using this online evaluator? To use this online evaluator for Circumradius of Octagon given Perimeter, enter Perimeter of Octagon (P) and hit the calculate button.

FAQs on Circumradius of Octagon given Perimeter

What is the formula to find Circumradius of Octagon given Perimeter?

The formula of Circumradius of Octagon given Perimeter is expressed as Circumradius of Octagon = sqrt(4+(2*sqrt(2)))*Perimeter of Octagon/16. Here is an example- 13.06563 = sqrt(4+(2*sqrt(2)))*80/16.

How to calculate Circumradius of Octagon given Perimeter?

With Perimeter of Octagon (P) we can find Circumradius of Octagon given Perimeter using the formula - Circumradius of Octagon = sqrt(4+(2*sqrt(2)))*Perimeter of Octagon/16. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumradius of Octagon?

Here are the different ways to Calculate Circumradius of Octagon-

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

Can the Circumradius of Octagon given Perimeter be negative?

No, the Circumradius of Octagon given Perimeter, measured in Length cannot be negative.

Which unit is used to measure Circumradius of Octagon given Perimeter?

Circumradius of Octagon given Perimeter is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Circumradius of Octagon given Perimeter can be measured.

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