Height of Decagon given Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Decagon = (sqrt(5+(2*sqrt(5)))*Width of Decagon)/(1+sqrt(5))
h = (sqrt(5+(2*sqrt(5)))*w)/(1+sqrt(5))
This formula uses 1 Functions, 2 Variables
Functions Used
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
Height of Decagon - (Measured in Meter) - Height of Decagon is the length of a perpendicular line drawn from one vertex to the opposite side.
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
h = (sqrt(5+(2*sqrt(5)))*w)/(1+sqrt(5)) --> (sqrt(5+(2*sqrt(5)))*32)/(1+sqrt(5))
Evaluating ... ...
h = 30.4338085214449
STEP 3: Convert Result to Output's Unit
30.4338085214449 Meter --> No Conversion Required
FINAL ANSWER
30.4338085214449 30.43381 Meter <-- Height of Decagon
(Calculation completed in 00.004 seconds)

Credits

Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
Nishan Poojary has created this Calculator and 500+ more calculators!
Verified by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has verified this Calculator and 1800+ more calculators!

10+ Height of Decagon Calculators

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

3 Height of Decagon Calculators

Height of Decagon given Width
Go Height of Decagon = (sqrt(5+(2*sqrt(5)))*Width of Decagon)/(1+sqrt(5))
Height of Decagon
Go Height of Decagon = sqrt(5+(2*sqrt(5)))*Side of Decagon
Height of Decagon given Diagonal across Four Sides
Go Height of Decagon = Diagonal across Four Sides of Decagon*1

Height of Decagon given Width Formula

Height of Decagon = (sqrt(5+(2*sqrt(5)))*Width of Decagon)/(1+sqrt(5))
h = (sqrt(5+(2*sqrt(5)))*w)/(1+sqrt(5))

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 Height of Decagon given Width?

Height of Decagon given Width calculator uses Height of Decagon = (sqrt(5+(2*sqrt(5)))*Width of Decagon)/(1+sqrt(5)) to calculate the Height of Decagon, The Height of Decagon given Width formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Decagon, calculated using width. Height of Decagon is denoted by h symbol.

How to calculate Height of Decagon given Width using this online calculator? To use this online calculator for Height of Decagon given Width, enter Width of Decagon (w) and hit the calculate button. Here is how the Height of Decagon given Width calculation can be explained with given input values -> 30.43381 = (sqrt(5+(2*sqrt(5)))*32)/(1+sqrt(5)).

FAQ

What is Height of Decagon given Width?
The Height of Decagon given Width formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Decagon, calculated using width and is represented as h = (sqrt(5+(2*sqrt(5)))*w)/(1+sqrt(5)) or Height of Decagon = (sqrt(5+(2*sqrt(5)))*Width of Decagon)/(1+sqrt(5)). Width of Decagon is the measurement or extent of Decagon from side to side.
How to calculate Height of Decagon given Width?
The Height of Decagon given Width formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Decagon, calculated using width is calculated using Height of Decagon = (sqrt(5+(2*sqrt(5)))*Width of Decagon)/(1+sqrt(5)). To calculate Height 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 Height of Decagon?
In this formula, Height of Decagon uses Width of Decagon. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Height of Decagon = 2*Inradius of Decagon
  • Height of Decagon = sqrt(5+(2*sqrt(5)))*Side of Decagon
  • Height of Decagon = sqrt(5+(2*sqrt(5)))*Diagonal across Five Sides of Decagon/(1+sqrt(5))
  • Height of Decagon = Diagonal across Four Sides of Decagon*1
  • Height of Decagon = sqrt(5+(2*sqrt(5)))*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))
  • Height of Decagon = sqrt(5+(2*sqrt(5)))*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))
  • Height of Decagon = sqrt(5+(2*sqrt(5)))*Perimeter of Decagon/10
  • Height of Decagon = sqrt(5+(2*sqrt(5)))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
  • Height of Decagon = sqrt(5+(2*sqrt(5)))*(2*Circumradius of Decagon)/(1+sqrt(5))
  • Height of Decagon = sqrt(5+(2*sqrt(5)))*Side of Decagon
  • Height of Decagon = Diagonal across Four Sides of Decagon*1
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!