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Side of Decagon given Circumradius Formula

GoSide of Decagon given Width Formula

GoSide of Decagon given Area Formula

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

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

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

Side of Decagon given Circumradius Example

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

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

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

9.8885 = \frac{2 \cdot 16}{1 + \sqrt{5}}

9.8885m = \frac{2 \cdot 16m}{1 + \sqrt{5}}

9.8885 = \frac{2 \cdot 16}{1 + \sqrt{5}}

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Side of Decagon given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = \frac{2 \cdot 16m}{1 + \sqrt{5}}

Next Step Prepare to Evaluate

∴

S = \frac{2 \cdot 16}{1 + \sqrt{5}}

Next Step Evaluate

∴

S = 9.88854381999832m

LAST Step Rounding Answer

∴

S = 9.8885m

Side of Decagon given Circumradius Formula Elements

Variables

Functions

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

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

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 Side of Decagon

Go Side of Decagon given Width

S = w \cdot \sin (\frac{π}{10})

Go Side of Decagon given Area

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

How to Evaluate Side of Decagon given Circumradius?

Side of Decagon given Circumradius evaluator uses Side of Decagon = (2*Circumradius of Decagon)/(1+sqrt(5)) to evaluate the Side of Decagon, Side of Decagon given Circumradius formula is defined as a line connecting two adjacent vertices of the Decagon. Side of Decagon is denoted by S symbol.

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

FAQs on Side of Decagon given Circumradius

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

The formula of Side of Decagon given Circumradius is expressed as Side of Decagon = (2*Circumradius of Decagon)/(1+sqrt(5)). Here is an example- 9.888544 = (2*16)/(1+sqrt(5)).

How to calculate Side of Decagon given Circumradius?

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

What are the other ways to Calculate Side of Decagon?

Here are the different ways to Calculate Side of Decagon-

Side of Decagon=Width of Decagon*sin(pi/10)
Side of Decagon=sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))

Can the Side of Decagon given Circumradius be negative?

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

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

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

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