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

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Side of Hexadecagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side of Hexadecagon = sqrt((Area of Hexadecagon)/(4*cot(pi/16)))
S = sqrt((A)/(4*cot(pi/16)))
This formula uses 1 Constants, 2 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(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

Side of Hexadecagon - (Measured in Meter) - Side of Hexadecagon is a line segment forming part of the perimeter of a Hexadecagon.
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

S = sqrt((A)/(4*cot(pi/16))) --> sqrt((500)/(4*cot(pi/16)))

Evaluating ... ...

S = 4.98638605830488

STEP 3: Convert Result to Output's Unit

4.98638605830488 Meter --> No Conversion Required

FINAL ANSWER

4.98638605830488 ≈ 4.986386 Meter <-- Side of Hexadecagon

(Calculation completed in 00.020 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 Area Formula

LaTeX Go

Side of Hexadecagon = sqrt((Area of Hexadecagon)/(4*cot(pi/16)))
S = sqrt((A)/(4*cot(pi/16)))

What is a 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 Area?

Side of Hexadecagon given Area calculator uses Side of Hexadecagon = sqrt((Area of Hexadecagon)/(4*cot(pi/16))) to calculate the Side of Hexadecagon, Side of Hexadecagon given Area formula is defined as a straight line connecting two adjacent vertices of the Hexadecagon, calculated using the area. Side of Hexadecagon is denoted by S symbol.

How to calculate Side of Hexadecagon given Area using this online calculator? To use this online calculator for Side of Hexadecagon given Area, enter Area of Hexadecagon (A) and hit the calculate button. Here is how the Side of Hexadecagon given Area calculation can be explained with given input values -> 4.986386 = sqrt((500)/(4*cot(pi/16))).

FAQ

What is Side of Hexadecagon given Area?

Side of Hexadecagon given Area formula is defined as a straight line connecting two adjacent vertices of the Hexadecagon, calculated using the area and is represented as S = sqrt((A)/(4*cot(pi/16))) or Side of Hexadecagon = sqrt((Area of Hexadecagon)/(4*cot(pi/16))). Area of Hexadecagon is the amount of 2-dimensional space occupied by the Hexadecagon.

How to calculate Side of Hexadecagon given Area?

Side of Hexadecagon given Area formula is defined as a straight line connecting two adjacent vertices of the Hexadecagon, calculated using the area is calculated using Side of Hexadecagon = sqrt((Area of Hexadecagon)/(4*cot(pi/16))). To calculate Side 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 Side of Hexadecagon?

In this formula, Side of Hexadecagon uses Area 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(2)*Diagonal across Four Sides of Hexadecagon*sin(pi/16)

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