Side of Hexadecagon given Height Calculator

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

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✖Side of Hexadecagon is a line segment forming part of the perimeter of a Hexadecagon.ⓘ Side of Hexadecagon given Height [S]

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Side of Hexadecagon given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side of Hexadecagon = Height of Hexadecagon*sin(pi/16)/sin((7*pi)/16)
S = h*sin(pi/16)/sin((7*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

Side of Hexadecagon - (Measured in Meter) - Side of Hexadecagon is a line segment forming part of the perimeter of a Hexadecagon.
Height of Hexadecagon - (Measured in Meter) - Height of Hexadecagon is the length of a perpendicular line drawn from one vertex to the opposite side.

STEP 1: Convert Input(s) to Base Unit

Height of Hexadecagon: 25 Meter --> 25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = h*sin(pi/16)/sin((7*pi)/16) --> 25*sin(pi/16)/sin((7*pi)/16)

Evaluating ... ...

S = 4.97280918449145

STEP 3: Convert Result to Output's Unit

4.97280918449145 Meter --> No Conversion Required

FINAL ANSWER

4.97280918449145 ≈ 4.972809 Meter <-- Side of Hexadecagon

(Calculation completed in 00.006 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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St Joseph's College (SJC), Bengaluru

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< Side of Hexadecagon Calculators

Side of Hexadecagon given Diagonal across Three Sides

LaTeX Go Side of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin(pi/16)/sin((3*pi)/16)

Side of Hexadecagon given Diagonal across Two Sides

LaTeX Go Side of Hexadecagon = Diagonal across Two Sides of Hexadecagon*sin(pi/16)/sin(pi/8)

Side of Hexadecagon given Diagonal across Four Sides

LaTeX Go Side of Hexadecagon = sqrt(2)*Diagonal across Four Sides of Hexadecagon*sin(pi/16)

Side of Hexadecagon given Area

LaTeX Go Side of Hexadecagon = sqrt((Area of Hexadecagon)/(4*cot(pi/16)))

< Side of Hexadecagon Calculators

Side of Hexadecagon given Circumradius

LaTeX Go Side of Hexadecagon = Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))

Side of Hexadecagon given Height

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

Side of Hexadecagon given Area

LaTeX Go Side of Hexadecagon = sqrt((Area of Hexadecagon)/(4*cot(pi/16)))

Side of Hexadecagon given Perimeter

LaTeX Go Side of Hexadecagon = Perimeter of Hexadecagon/16

Side of Hexadecagon given Height Formula

LaTeX Go

Side of Hexadecagon = Height of Hexadecagon*sin(pi/16)/sin((7*pi)/16)
S = h*sin(pi/16)/sin((7*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 Side of Hexadecagon given Height?

Side of Hexadecagon given Height calculator uses Side of Hexadecagon = Height of Hexadecagon*sin(pi/16)/sin((7*pi)/16) to calculate the Side of Hexadecagon, Side of Hexadecagon given Height formula is defined as the straight line connecting two adjacent vertices of the Hexadecagon, calculated using height. Side of Hexadecagon is denoted by S symbol.

How to calculate Side of Hexadecagon given Height using this online calculator? To use this online calculator for Side of Hexadecagon given Height, enter Height of Hexadecagon (h) and hit the calculate button. Here is how the Side of Hexadecagon given Height calculation can be explained with given input values -> 4.972809 = 25*sin(pi/16)/sin((7*pi)/16).

FAQ

What is Side of Hexadecagon given Height?

Side of Hexadecagon given Height formula is defined as the straight line connecting two adjacent vertices of the Hexadecagon, calculated using height and is represented as S = h*sin(pi/16)/sin((7*pi)/16) or Side of Hexadecagon = Height of Hexadecagon*sin(pi/16)/sin((7*pi)/16). Height of Hexadecagon is the length of a perpendicular line drawn from one vertex to the opposite side.

How to calculate Side of Hexadecagon given Height?

Side of Hexadecagon given Height formula is defined as the straight line connecting two adjacent vertices of the Hexadecagon, calculated using height is calculated using Side of Hexadecagon = Height of Hexadecagon*sin(pi/16)/sin((7*pi)/16). To calculate Side of Hexadecagon given Height, you need Height of Hexadecagon (h). With our tool, you need to enter the respective value for Height 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 Side of Hexadecagon?

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

Side of Hexadecagon = Diagonal across Two Sides of Hexadecagon*sin(pi/16)/sin(pi/8)
Side of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin(pi/16)/sin((3*pi)/16)
Side of Hexadecagon = sqrt((Area of Hexadecagon)/(4*cot(pi/16)))

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