Height of Hexadecagon given Diagonal across Three Sides Calculator

✖Diagonal across Three Sides of Hexadecagon is the straight line joining two non-adjacent vertices across the three sides of the Hexadecagon.ⓘ Diagonal across Three Sides of Hexadecagon [d₃]

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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 Diagonal across Three Sides [h]

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Height of Hexadecagon given Diagonal across Three Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin((7*pi)/16)/sin((3*pi)/16)
h = d₃*sin((7*pi)/16)/sin((3*pi)/16)
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

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.
Diagonal across Three Sides of Hexadecagon - (Measured in Meter) - Diagonal across Three Sides of Hexadecagon is the straight line joining two non-adjacent vertices across the three sides of the Hexadecagon.

STEP 1: Convert Input(s) to Base Unit

Diagonal across Three Sides of Hexadecagon: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = d₃*sin((7*pi)/16)/sin((3*pi)/16) --> 14*sin((7*pi)/16)/sin((3*pi)/16)

Evaluating ... ...

h = 24.7151361062225

STEP 3: Convert Result to Output's Unit

24.7151361062225 Meter --> No Conversion Required

FINAL ANSWER

24.7151361062225 ≈ 24.71514 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 given Diagonal across Three Sides Formula

LaTeX Go

Height of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin((7*pi)/16)/sin((3*pi)/16)
h = d₃*sin((7*pi)/16)/sin((3*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 Diagonal across Three Sides?

Height of Hexadecagon given Diagonal across Three Sides calculator uses Height of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin((7*pi)/16)/sin((3*pi)/16) to calculate the Height of Hexadecagon, Height of Hexadecagon given Diagonal across Three Sides formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Hexadecagon, calculated using a diagonal across three sides. Height of Hexadecagon is denoted by h symbol.

How to calculate Height of Hexadecagon given Diagonal across Three Sides using this online calculator? To use this online calculator for Height of Hexadecagon given Diagonal across Three Sides, enter Diagonal across Three Sides of Hexadecagon (d₃) and hit the calculate button. Here is how the Height of Hexadecagon given Diagonal across Three Sides calculation can be explained with given input values -> 24.71514 = 14*sin((7*pi)/16)/sin((3*pi)/16).

FAQ

What is Height of Hexadecagon given Diagonal across Three Sides?

Height of Hexadecagon given Diagonal across Three Sides formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Hexadecagon, calculated using a diagonal across three sides and is represented as h = d₃*sin((7*pi)/16)/sin((3*pi)/16) or Height of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin((7*pi)/16)/sin((3*pi)/16). Diagonal across Three Sides of Hexadecagon is the straight line joining two non-adjacent vertices across the three sides of the Hexadecagon.

How to calculate Height of Hexadecagon given Diagonal across Three Sides?

Height of Hexadecagon given Diagonal across Three Sides formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Hexadecagon, calculated using a diagonal across three sides is calculated using Height of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin((7*pi)/16)/sin((3*pi)/16). To calculate Height of Hexadecagon given Diagonal across Three Sides, you need Diagonal across Three Sides of Hexadecagon (d₃). With our tool, you need to enter the respective value for Diagonal across Three Sides 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 Diagonal across Three Sides 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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