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Height of Decagon given Area 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 \sqrt{\frac{2 \cdot A}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

h - Height of Decagon?A - Area of Decagon?

Height of Decagon given Area Example

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

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

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

30.7884 = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \sqrt{\frac{2 \cdot 770}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

30.7884m = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \sqrt{\frac{2 \cdot 770m²}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

30.7884 = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \sqrt{\frac{2 \cdot 770}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

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Height of Decagon given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \sqrt{\frac{2 \cdot 770m²}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

Next Step Prepare to Evaluate

∴

h = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \sqrt{\frac{2 \cdot 770}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

Next Step Evaluate

∴

h = 30.7884155072972m

LAST Step Rounding Answer

∴

h = 30.7884m

Height of Decagon given Area 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

Area of Decagon

Area of Decagon is the amount of 2-dimensional space occupied by the Decagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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 Area?

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

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

FAQs on Height of Decagon given Area

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

The formula of Height of Decagon given Area is expressed as Height of Decagon = sqrt(5+(2*sqrt(5)))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))). Here is an example- 30.78842 = sqrt(5+(2*sqrt(5)))*sqrt((2*770)/(5*sqrt(5+(2*sqrt(5))))).

How to calculate Height of Decagon given Area?

With Area of Decagon (A) we can find Height of Decagon given Area using the formula - Height of Decagon = sqrt(5+(2*sqrt(5)))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*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 Area be negative?

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

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

Height of Decagon given Area 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 Area can be measured.

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