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Perimeter of Octagon given Circumradius Formula

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GoPerimeter of Octagon given Inradius Formula

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

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

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

Perimeter of Octagon given Circumradius Example

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

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

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

79.5982 = \frac{16 \cdot 13}{\sqrt{4 + (2 \cdot \sqrt{2})}}

79.5982m = \frac{16 \cdot 13m}{\sqrt{4 + (2 \cdot \sqrt{2})}}

79.5982 = \frac{16 \cdot 13}{\sqrt{4 + (2 \cdot \sqrt{2})}}

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Perimeter of Octagon given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = \frac{16 \cdot 13m}{\sqrt{4 + (2 \cdot \sqrt{2})}}

Next Step Prepare to Evaluate

∴

P = \frac{16 \cdot 13}{\sqrt{4 + (2 \cdot \sqrt{2})}}

Next Step Evaluate

∴

P = 79.5981539319387m

LAST Step Rounding Answer

∴

P = 79.5982m

Perimeter of Octagon given Circumradius Formula Elements

Variables

Functions

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

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

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 Perimeter of Octagon

Go Perimeter of Octagon

P = 8 \cdot l e

Go Perimeter of Octagon given Inradius

P = \frac{16 \cdot r i}{1 + \sqrt{2}}

How to Evaluate Perimeter of Octagon given Circumradius?

Perimeter of Octagon given Circumradius evaluator uses Perimeter of Octagon = (16*Circumradius of Octagon)/sqrt(4+(2*sqrt(2))) to evaluate the Perimeter of Octagon, The Perimeter of Octagon given Circumradius formula is defined as the total length of all the boundary lines of the Regular Octagon, and calculated using circumradius of the Octagon. Perimeter of Octagon is denoted by P symbol.

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

FAQs on Perimeter of Octagon given Circumradius

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

The formula of Perimeter of Octagon given Circumradius is expressed as Perimeter of Octagon = (16*Circumradius of Octagon)/sqrt(4+(2*sqrt(2))). Here is an example- 79.59815 = (16*13)/sqrt(4+(2*sqrt(2))).

How to calculate Perimeter of Octagon given Circumradius?

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

What are the other ways to Calculate Perimeter of Octagon?

Here are the different ways to Calculate Perimeter of Octagon-

Perimeter of Octagon=8*Edge Length of Octagon
Perimeter of Octagon=(16*Inradius of Octagon)/(1+sqrt(2))

Can the Perimeter of Octagon given Circumradius be negative?

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

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

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

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