Height of Hexadecagon given Area Calculator

✖Area of Hexadecagon is the amount of 2-dimensional space occupied by the Hexadecagon.ⓘ Area of Hexadecagon [A]

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✖Height of Hexadecagon is the length of a perpendicular line drawn from one vertex to the opposite side.ⓘ Height of Hexadecagon given Area [h]

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Height of Hexadecagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Hexadecagon = sqrt(Area of Hexadecagon/(4*tan(pi/16)))
h = sqrt(A/(4*tan(pi/16)))
This formula uses 1 Constants, 2 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., 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., sqrt(Number)

Variables Used

Height of Hexadecagon - (Measured in Meter) - Height of Hexadecagon is the length of a perpendicular line drawn from one vertex to the opposite side.
Area of Hexadecagon - (Measured in Square Meter) - Area of Hexadecagon is the amount of 2-dimensional space occupied by the Hexadecagon.

STEP 1: Convert Input(s) to Base Unit

Area of Hexadecagon: 500 Square Meter --> 500 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(A/(4*tan(pi/16))) --> sqrt(500/(4*tan(pi/16)))

Evaluating ... ...

h = 25.0682555539018

STEP 3: Convert Result to Output's Unit

25.0682555539018 Meter --> No Conversion Required

FINAL ANSWER

25.0682555539018 ≈ 25.06826 Meter <-- Height of Hexadecagon

(Calculation completed in 00.004 seconds)

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< Height of Hexadecagon Calculators

Height of Hexadecagon given Diagonal across Five Sides

LaTeX Go Height of Hexadecagon = Diagonal across Five Sides of Hexadecagon*sin((7*pi)/16)/sin((5*pi)/16)

Height of Hexadecagon given Diagonal across Six Sides

LaTeX Go Height of Hexadecagon = Diagonal across Six Sides of Hexadecagon*sin((7*pi)/16)/sin((3*pi)/8)

Height of Hexadecagon

LaTeX Go Height of Hexadecagon = sin((7*pi)/16)/sin(pi/16)*Side of Hexadecagon

Height of Hexadecagon given Diagonal across Eight Sides

LaTeX Go Height of Hexadecagon = Diagonal across Eight Sides of Hexadecagon*sin((7*pi)/16)

< Height of Hexadecagon Calculators

Height of Hexadecagon given Perimeter

LaTeX Go Height of Hexadecagon = sin((7*pi)/16)/sin(pi/16)*Perimeter of Hexadecagon/16

Height of Hexadecagon

LaTeX Go Height of Hexadecagon = sin((7*pi)/16)/sin(pi/16)*Side of Hexadecagon

Height of Hexadecagon given Area

LaTeX Go Height of Hexadecagon = sqrt(Area of Hexadecagon/(4*tan(pi/16)))

Height of Hexadecagon given Inradius

LaTeX Go Height of Hexadecagon = 2*Inradius of Hexadecagon

Height of Hexadecagon given Area Formula

LaTeX Go

Height of Hexadecagon = sqrt(Area of Hexadecagon/(4*tan(pi/16)))
h = sqrt(A/(4*tan(pi/16)))

What is Hexadecagon?

A Hexadecagon is a 16-sided polygon, in which all angles are equal and all sides are congruent. Each angle of a regular hexadecagon is 157.5 degrees, and the total angle measure of any hexadecagon is 2520 degrees. Hexadecagons are sometimes used in art and architecture.

How to Calculate Height of Hexadecagon given Area?

Height of Hexadecagon given Area calculator uses Height of Hexadecagon = sqrt(Area of Hexadecagon/(4*tan(pi/16))) to calculate 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 calculate Height of Hexadecagon given Area using this online calculator? To use this online calculator for Height of Hexadecagon given Area, enter Area of Hexadecagon (A) and hit the calculate button. Here is how the Height of Hexadecagon given Area calculation can be explained with given input values -> 25.06826 = sqrt(500/(4*tan(pi/16))).

FAQ

What is Height of Hexadecagon given Area?

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 and is represented as h = sqrt(A/(4*tan(pi/16))) or Height of Hexadecagon = sqrt(Area of Hexadecagon/(4*tan(pi/16))). Area of Hexadecagon is the amount of 2-dimensional space occupied by the Hexadecagon.

How to calculate Height of Hexadecagon given Area?

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 is calculated using Height of Hexadecagon = sqrt(Area of Hexadecagon/(4*tan(pi/16))). To calculate Height of Hexadecagon given Area, you need Area of Hexadecagon (A). With our tool, you need to enter the respective value for Area of Hexadecagon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Height of Hexadecagon?

In this formula, Height of Hexadecagon uses Area of Hexadecagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of Hexadecagon = sin((7*pi)/16)/sin(pi/16)*Side of Hexadecagon
Height of Hexadecagon = Diagonal across Eight Sides of Hexadecagon*sin((7*pi)/16)
Height of Hexadecagon = Diagonal across Six Sides of Hexadecagon*sin((7*pi)/16)/sin((3*pi)/8)

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