Width of Decagon Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of Decagon = Side of Decagon/sin(pi/10)
w = S/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
Width of Decagon - (Measured in Meter) - Width of Decagon is the measurement or extent of Decagon from side to side.
Side of Decagon - (Measured in Meter) - Side of Decagon is defined as a line connecting two adjacent vertices of the Decagon.
STEP 1: Convert Input(s) to Base Unit
Side of Decagon: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
w = S/sin(pi/10) --> 10/sin(pi/10)
Evaluating ... ...
w = 32.3606797749979
STEP 3: Convert Result to Output's Unit
32.3606797749979 Meter --> No Conversion Required
FINAL ANSWER
32.3606797749979 32.36068 Meter <-- Width of Decagon
(Calculation completed in 00.020 seconds)

Credits

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

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

3 Width of Decagon Calculators

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

Width of Decagon Formula

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

Width of Decagon calculator uses Width of Decagon = Side of Decagon/sin(pi/10) to calculate the Width of Decagon, The Width of Decagon given side length formula is defined as the measurement or extent of Decagon from side to side. Width of Decagon is denoted by w symbol.

How to calculate Width of Decagon using this online calculator? To use this online calculator for Width of Decagon, enter Side of Decagon (S) and hit the calculate button. Here is how the Width of Decagon calculation can be explained with given input values -> 32.36068 = 10/sin(pi/10).

FAQ

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