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Height of Decagon given Circumradius Formula

GoHeight of Decagon given Inradius Formula

GoHeight of Decagon given Width Formula

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Height of Decagon is the length of a perpendicular line drawn from one vertex to the opposite side. Check FAQs

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

h - Height of Decagon?r_c - Circumradius of Decagon?

Height of Decagon given Circumradius Example

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

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

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

30.4338 = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{2 \cdot 16}{1 + \sqrt{5}}

30.4338m = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{2 \cdot 16m}{1 + \sqrt{5}}

30.4338 = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{2 \cdot 16}{1 + \sqrt{5}}

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Height of Decagon given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{2 \cdot 16m}{1 + \sqrt{5}}

Next Step Prepare to Evaluate

∴

h = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{2 \cdot 16}{1 + \sqrt{5}}

Next Step Evaluate

∴

h = 30.4338085214449m

LAST Step Rounding Answer

∴

h = 30.4338m

Height of Decagon given Circumradius Formula Elements

Variables

Functions

Height of Decagon

Height of Decagon is the length of a perpendicular line drawn from one vertex to the opposite side.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 Height of Decagon

Go Height of Decagon given Inradius

h = 2 \cdot r i

Go Height of Decagon given Width

h = \frac{\sqrt{5 + (2 \cdot \sqrt{5})} \cdot w}{1 + \sqrt{5}}

Go Height of Decagon

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

Go Height of Decagon given Diagonal across Five Sides

h = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{d 5}{1 + \sqrt{5}}

How to Evaluate Height of Decagon given Circumradius?

Height of Decagon given Circumradius evaluator uses Height of Decagon = sqrt(5+(2*sqrt(5)))*(2*Circumradius of Decagon)/(1+sqrt(5)) to evaluate the Height of Decagon, The Height of Decagon given Circumradius formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Decagon, calculated using circumradius. Height of Decagon is denoted by h symbol.

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

FAQs on Height of Decagon given Circumradius

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

The formula of Height of Decagon given Circumradius is expressed as Height of Decagon = sqrt(5+(2*sqrt(5)))*(2*Circumradius of Decagon)/(1+sqrt(5)). Here is an example- 30.43381 = sqrt(5+(2*sqrt(5)))*(2*16)/(1+sqrt(5)).

How to calculate Height of Decagon given Circumradius?

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

What are the other ways to Calculate Height of Decagon?

Here are the different ways to Calculate Height of Decagon-

Height of Decagon=2*Inradius of Decagon
Height of Decagon=(sqrt(5+(2*sqrt(5)))*Width of Decagon)/(1+sqrt(5))
Height of Decagon=sqrt(5+(2*sqrt(5)))*Side of Decagon

Can the Height of Decagon given Circumradius be negative?

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

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

Height 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 Height of Decagon given Circumradius can be measured.

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