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Circumradius of Decagon Formula

GoCircumradius of Decagon given Width Formula

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Circumradius of Decagon is the radius of a circumcircle touching each of the Decagon's vertices. Check FAQs

r c = \frac{1 + \sqrt{5}}{2} \cdot S

r_c - Circumradius of Decagon?S - Side of Decagon?

Circumradius of Decagon Example

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Here is how the Circumradius of Decagon equation looks like with Values.

Here is how the Circumradius of Decagon equation looks like with Units.

Here is how the Circumradius of Decagon equation looks like.

16.1803 = \frac{1 + \sqrt{5}}{2} \cdot 10

16.1803m = \frac{1 + \sqrt{5}}{2} \cdot 10m

16.1803 = \frac{1 + \sqrt{5}}{2} \cdot 10

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Circumradius of Decagon Solution

Follow our step by step solution on how to calculate Circumradius of Decagon?

FIRST Step Consider the formula

r c = \frac{1 + \sqrt{5}}{2} \cdot S

Next Step Substitute values of Variables

∴

r c = \frac{1 + \sqrt{5}}{2} \cdot 10m

Next Step Prepare to Evaluate

∴

r c = \frac{1 + \sqrt{5}}{2} \cdot 10

Next Step Evaluate

∴

r c = 16.1803398874989m

LAST Step Rounding Answer

∴

r c = 16.1803m

Circumradius of Decagon Formula Elements

Variables

Functions

Circumradius of Decagon

Circumradius of Decagon is the radius of a circumcircle touching each of the Decagon's vertices.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Decagon

Side of Decagon

Side of Decagon is defined as a line connecting two adjacent vertices of the Decagon.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side of Decagon

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 Decagon

Go Circumradius of Decagon given Width

r c = \frac{w}{2}

Other formulas in Circumradius of Decagon category

Go Inradius of Decagon

r i = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot S

Go Inradius of Decagon given Height

r i = \frac{h}{2}

How to Evaluate Circumradius of Decagon?

Circumradius of Decagon evaluator uses Circumradius of Decagon = (1+sqrt(5))/2*Side of Decagon to evaluate the Circumradius of Decagon, Circumradius of Decagon formula is defined as a line connecting the circumcenter of the circle that touches all vertices of the Decagon and any point on the circle. Circumradius of Decagon is denoted by r_c symbol.

How to evaluate Circumradius of Decagon using this online evaluator? To use this online evaluator for Circumradius of Decagon, enter Side of Decagon (S) and hit the calculate button.

FAQs on Circumradius of Decagon

What is the formula to find Circumradius of Decagon?

The formula of Circumradius of Decagon is expressed as Circumradius of Decagon = (1+sqrt(5))/2*Side of Decagon. Here is an example- 16.18034 = (1+sqrt(5))/2*10.

How to calculate Circumradius of Decagon?

With Side of Decagon (S) we can find Circumradius of Decagon using the formula - Circumradius of Decagon = (1+sqrt(5))/2*Side of Decagon. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumradius of Decagon?

Here are the different ways to Calculate Circumradius of Decagon-

Circumradius of Decagon=Width of Decagon/2

Can the Circumradius of Decagon be negative?

No, the Circumradius of Decagon, measured in Length cannot be negative.

Which unit is used to measure Circumradius of Decagon?

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

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