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Circumradius of Decagon given Perimeter Formula

GoCircumradius of Decagon given Width Formula

GoCircumradius of Decagon given Diagonal across Five Sides 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 \frac{P}{10}

r_c - Circumradius of Decagon?P - Perimeter of Decagon?

Circumradius of Decagon given Perimeter Example

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

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

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

16.1803 = \frac{1 + \sqrt{5}}{2} \cdot \frac{100}{10}

16.1803m = \frac{1 + \sqrt{5}}{2} \cdot \frac{100m}{10}

16.1803 = \frac{1 + \sqrt{5}}{2} \cdot \frac{100}{10}

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Circumradius of Decagon given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{1 + \sqrt{5}}{2} \cdot \frac{100m}{10}

Next Step Prepare to Evaluate

∴

r c = \frac{1 + \sqrt{5}}{2} \cdot \frac{100}{10}

Next Step Evaluate

∴

r c = 16.1803398874989m

LAST Step Rounding Answer

∴

r c = 16.1803m

Circumradius of Decagon given Perimeter 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

Perimeter of Decagon

Perimeter of Decagon is the total distance around the edge of the Decagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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}

Go Circumradius of Decagon given Diagonal across Five Sides

r c = \frac{d 5}{2}

Go Circumradius of Decagon given Diagonal across Four Sides

r c = \frac{1 + \sqrt{5}}{2} \cdot \frac{d 4}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Go Circumradius of Decagon given Diagonal across Three Sides

r c = \frac{1 + \sqrt{5}}{2} \cdot \frac{2 \cdot d 3}{\sqrt{14 + (6 \cdot \sqrt{5})}}

How to Evaluate Circumradius of Decagon given Perimeter?

Circumradius of Decagon given Perimeter evaluator uses Circumradius of Decagon = (1+sqrt(5))/2*Perimeter of Decagon/10 to evaluate the Circumradius of Decagon, The Circumradius of Decagon given Perimeter 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, calculated using its perimeter. Circumradius of Decagon is denoted by r_c symbol.

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

FAQs on Circumradius of Decagon given Perimeter

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

The formula of Circumradius of Decagon given Perimeter is expressed as Circumradius of Decagon = (1+sqrt(5))/2*Perimeter of Decagon/10. Here is an example- 16.18034 = (1+sqrt(5))/2*100/10.

How to calculate Circumradius of Decagon given Perimeter?

With Perimeter of Decagon (P) we can find Circumradius of Decagon given Perimeter using the formula - Circumradius of Decagon = (1+sqrt(5))/2*Perimeter of Decagon/10. 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
Circumradius of Decagon=Diagonal across Five Sides of Decagon/2
Circumradius of Decagon=(1+sqrt(5))/2*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))

Can the Circumradius of Decagon given Perimeter be negative?

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

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

Circumradius of Decagon 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 Decagon given Perimeter can be measured.

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