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Circumradius of Decagon given height Solution

STEP 0: Pre-Calculation Summary
Formula Used
radius = ((Height/((sqrt(5+2*sqrt(5)))))/2)*(1+sqrt(5))
r = ((h/((sqrt(5+2*sqrt(5)))))/2)*(1+sqrt(5))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = ((h/((sqrt(5+2*sqrt(5)))))/2)*(1+sqrt(5)) --> ((12/((sqrt(5+2*sqrt(5)))))/2)*(1+sqrt(5))
Evaluating ... ...
r = 6.3087733454296
STEP 3: Convert Result to Output's Unit
6.3087733454296 Meter --> No Conversion Required
FINAL ANSWER
6.3087733454296 Meter <-- Radius
(Calculation completed in 00.007 seconds)

10+ Circumradius of Decagon Calculators

Circumradius of Decagon given area
radius = ((sqrt((2*Area)/(5*sqrt(5+2*sqrt(5)))))/2)*(1+sqrt(5)) Go
Circumradius of Decagon given diagonal across three sides
radius = (((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))/2)*(1+sqrt(5)) Go
Circumradius of Decagon given diagonal across two sides
radius = (((2*Diagonal across two sides)/(sqrt(10+2*sqrt(5))))/2)*(1+sqrt(5)) Go
Circumradius of Decagon given diagonal across four sides
radius = ((Diagonal across four sides/(sqrt(5+2*sqrt(5))))/2)*(1+sqrt(5)) Go
Circumradius of Decagon given diagonal across five sides
radius = ((Diagonal across five sides/((1+sqrt(5))))/2)*(1+sqrt(5)) Go
Circumradius of Decagon given height and central angle
circumradius = Height/(2*tan((18*pi/180))) Go
Circumradius of Decagon given angle and side
radius = Side/(2*sin(Angle A/2)) Go
Circumradius of Decagon given perimeter
radius = ((Perimeter/10)/2)*(1+sqrt(5)) Go
Circumradius of Decagon
radius = (Side/2)*(1+sqrt(5)) Go
Circumradius of Decagon given width
circumradius = Width/2 Go

Circumradius of Decagon given height Formula

radius = ((Height/((sqrt(5+2*sqrt(5)))))/2)*(1+sqrt(5))
r = ((h/((sqrt(5+2*sqrt(5)))))/2)*(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 Circumradius of Decagon given height?

Circumradius of Decagon given height calculator uses radius = ((Height/((sqrt(5+2*sqrt(5)))))/2)*(1+sqrt(5)) to calculate the Radius, The Circumradius of decagon given height formula is defined as straight line from the centre to the circumference of decagon, where radius= circumradius of decagon , height = height of decagon. Radius and is denoted by r symbol.

How to calculate Circumradius of Decagon given height using this online calculator? To use this online calculator for Circumradius of Decagon given height, enter Height (h) and hit the calculate button. Here is how the Circumradius of Decagon given height calculation can be explained with given input values -> 630.8773 = ((12/((sqrt(5+2*sqrt(5)))))/2)*(1+sqrt(5)).

FAQ

What is Circumradius of Decagon given height?
The Circumradius of decagon given height formula is defined as straight line from the centre to the circumference of decagon, where radius= circumradius of decagon , height = height of decagon and is represented as r = ((h/((sqrt(5+2*sqrt(5)))))/2)*(1+sqrt(5)) or radius = ((Height/((sqrt(5+2*sqrt(5)))))/2)*(1+sqrt(5)). Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Circumradius of Decagon given height?
The Circumradius of decagon given height formula is defined as straight line from the centre to the circumference of decagon, where radius= circumradius of decagon , height = height of decagon is calculated using radius = ((Height/((sqrt(5+2*sqrt(5)))))/2)*(1+sqrt(5)). To calculate Circumradius of Decagon given height, you need Height (h). With our tool, you need to enter the respective value for Height 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 Radius?
In this formula, Radius uses Height. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • radius = Side/(2*sin(Angle A/2))
  • circumradius = Height/(2*tan((18*pi/180)))
  • circumradius = Width/2
  • radius = (Side/2)*(1+sqrt(5))
  • radius = ((Diagonal across five sides/((1+sqrt(5))))/2)*(1+sqrt(5))
  • radius = ((Diagonal across four sides/(sqrt(5+2*sqrt(5))))/2)*(1+sqrt(5))
  • radius = (((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))/2)*(1+sqrt(5))
  • radius = (((2*Diagonal across two sides)/(sqrt(10+2*sqrt(5))))/2)*(1+sqrt(5))
  • radius = ((Perimeter/10)/2)*(1+sqrt(5))
  • radius = ((sqrt((2*Area)/(5*sqrt(5+2*sqrt(5)))))/2)*(1+sqrt(5))
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