Side of Decagon given Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Side of Decagon = Width of Decagon*sin(pi/10)
S = w*sin(pi/10)
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 Decagon - (Measured in Meter) - Side of Decagon is defined as a line connecting two adjacent vertices of the Decagon.
Width of Decagon - (Measured in Meter) - Width of Decagon is the measurement or extent of Decagon from side to side.
STEP 1: Convert Input(s) to Base Unit
Width of Decagon: 32 Meter --> 32 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = w*sin(pi/10) --> 32*sin(pi/10)
Evaluating ... ...
S = 9.88854381999832
STEP 3: Convert Result to Output's Unit
9.88854381999832 Meter --> No Conversion Required
FINAL ANSWER
9.88854381999832 9.888544 Meter <-- Side of Decagon
(Calculation completed in 00.004 seconds)

Credits

Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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10+ Side of Decagon Calculators

Side of Decagon given Area
Go Side of Decagon = sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
Side of Decagon given Diagonal across Three Sides
Go Side of Decagon = (2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))
Side of Decagon given Diagonal across Two Sides
Go Side of Decagon = (2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))
Side of Decagon given Diagonal across Four Sides
Go Side of Decagon = Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))
Side of Decagon given Inradius
Go Side of Decagon = (2*Inradius of Decagon)/sqrt(5+(2*sqrt(5)))
Side of Decagon given Height
Go Side of Decagon = Height of Decagon/sqrt(5+(2*sqrt(5)))
Side of Decagon given Width
Go Side of Decagon = Width of Decagon*sin(pi/10)
Side of Decagon given Diagonal across Five Sides
Go Side of Decagon = Diagonal across Five Sides of Decagon/(1+sqrt(5))
Side of Decagon given Circumradius
Go Side of Decagon = (2*Circumradius of Decagon)/(1+sqrt(5))
Side of Decagon given Perimeter
Go Side of Decagon = Perimeter of Decagon/10

3 Side of Decagon Calculators

Side of Decagon given Area
Go Side of Decagon = sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
Side of Decagon given Width
Go Side of Decagon = Width of Decagon*sin(pi/10)
Side of Decagon given Circumradius
Go Side of Decagon = (2*Circumradius of Decagon)/(1+sqrt(5))

Side of Decagon given Width Formula

Side of Decagon = Width of Decagon*sin(pi/10)
S = w*sin(pi/10)

What is a Decagon?

Decagon is a polygon with ten sides and ten vertices. A decagon, like any other polygon, can be either convex or concave, as illustrated in the next figure. A convex decagon has none of its interior angles greater than 180°. To the contrary, a concave decagon (or polygon) has one or more of its interior angles greater than 180°. A decagon is called regular when its sides are equal and also its interior angles are equal.

How to Calculate Side of Decagon given Width?

Side of Decagon given Width calculator uses Side of Decagon = Width of Decagon*sin(pi/10) to calculate the Side of Decagon, The Side of Decagon given Width formula is defined as a line connecting two adjacent vertices of the Decagon, calculated using the width. Side of Decagon is denoted by S symbol.

How to calculate Side of Decagon given Width using this online calculator? To use this online calculator for Side of Decagon given Width, enter Width of Decagon (w) and hit the calculate button. Here is how the Side of Decagon given Width calculation can be explained with given input values -> 9.888544 = 32*sin(pi/10).

FAQ

What is Side of Decagon given Width?
The Side of Decagon given Width formula is defined as a line connecting two adjacent vertices of the Decagon, calculated using the width and is represented as S = w*sin(pi/10) or Side of Decagon = Width of Decagon*sin(pi/10). Width of Decagon is the measurement or extent of Decagon from side to side.
How to calculate Side of Decagon given Width?
The Side of Decagon given Width formula is defined as a line connecting two adjacent vertices of the Decagon, calculated using the width is calculated using Side of Decagon = Width of Decagon*sin(pi/10). To calculate Side of Decagon given Width, you need Width of Decagon (w). With our tool, you need to enter the respective value for Width of Decagon 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 Decagon?
In this formula, Side of Decagon uses Width of Decagon. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Side of Decagon = Diagonal across Five Sides of Decagon/(1+sqrt(5))
  • Side of Decagon = Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))
  • Side of Decagon = (2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))
  • Side of Decagon = (2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))
  • Side of Decagon = Perimeter of Decagon/10
  • Side of Decagon = sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
  • Side of Decagon = Height of Decagon/sqrt(5+(2*sqrt(5)))
  • Side of Decagon = (2*Inradius of Decagon)/sqrt(5+(2*sqrt(5)))
  • Side of Decagon = (2*Circumradius of Decagon)/(1+sqrt(5))
  • Side of Decagon = (2*Circumradius of Decagon)/(1+sqrt(5))
  • Side of Decagon = sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
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