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Height of Hexadecagon given Area Formula

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GoHeight of Hexadecagon given Inradius Formula

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

h = \sqrt{\frac{A}{4 \cdot \tan (\frac{π}{16})}}

h - Height of Hexadecagon?A - Area of Hexadecagon?π - Archimedes' constant?

Height of Hexadecagon given Area Example

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

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

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

25.0683 = \sqrt{\frac{500}{4 \cdot \tan (\frac{3.1416}{16})}}

25.0683m = \sqrt{\frac{500m²}{4 \cdot \tan (\frac{3.1416}{16})}}

25.0683 = \sqrt{\frac{500}{4 \cdot \tan (\frac{3.1416}{16})}}

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Height of Hexadecagon given Area Solution

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

FIRST Step Consider the formula

h = \sqrt{\frac{A}{4 \cdot \tan (\frac{π}{16})}}

Next Step Substitute values of Variables

∴

h = \sqrt{\frac{500m²}{4 \cdot \tan (\frac{π}{16})}}

Next Step Substitute values of Constants

∴

h = \sqrt{\frac{500m²}{4 \cdot \tan (\frac{3.1416}{16})}}

Next Step Prepare to Evaluate

∴

h = \sqrt{\frac{500}{4 \cdot \tan (\frac{3.1416}{16})}}

Next Step Evaluate

∴

h = 25.0682555539018m

LAST Step Rounding Answer

∴

h = 25.0683m

Height of Hexadecagon given Area Formula Elements

Variables

Constants

Functions

Height of Hexadecagon

Height of Hexadecagon 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 Hexadecagon

Area of Hexadecagon

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

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Hexadecagon

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

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 Hexadecagon

Go Height of Hexadecagon

h = \frac{\sin (\frac{7 \cdot π}{16})}{\sin (\frac{π}{16})} \cdot S

Go Height of Hexadecagon given Inradius

h = 2 \cdot r i

Go Height of Hexadecagon given Perimeter

h = \frac{\sin (\frac{7 \cdot π}{16})}{\sin (\frac{π}{16})} \cdot \frac{P}{16}

Go Height of Hexadecagon given Diagonal across Seven Sides

h = \frac{d 7}{1}

How to Evaluate Height of Hexadecagon given Area?

Height of Hexadecagon given Area evaluator uses Height of Hexadecagon = sqrt(Area of Hexadecagon/(4*tan(pi/16))) to evaluate the Height of Hexadecagon, The Height of Hexadecagon given Area formula is defined as the length of the perpendicular line drawn from one vertex to the opposite side of the Hexadecagon, calculated using area. Height of Hexadecagon is denoted by h symbol.

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

FAQs on Height of Hexadecagon given Area

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

The formula of Height of Hexadecagon given Area is expressed as Height of Hexadecagon = sqrt(Area of Hexadecagon/(4*tan(pi/16))). Here is an example- 25.06826 = sqrt(500/(4*tan(pi/16))).

How to calculate Height of Hexadecagon given Area?

With Area of Hexadecagon (A) we can find Height of Hexadecagon given Area using the formula - Height of Hexadecagon = sqrt(Area of Hexadecagon/(4*tan(pi/16))). This formula also uses Archimedes' constant and , Tangent (tan), Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Hexadecagon?

Here are the different ways to Calculate Height of Hexadecagon-

Height of Hexadecagon=sin((7*pi)/16)/sin(pi/16)*Side of Hexadecagon
Height of Hexadecagon=2*Inradius of Hexadecagon
Height of Hexadecagon=sin((7*pi)/16)/sin(pi/16)*Perimeter of Hexadecagon/16

Can the Height of Hexadecagon given Area be negative?

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

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

Height of Hexadecagon 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 Hexadecagon given Area can be measured.

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