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Circumradius of Decagon Solution

STEP 0: Pre-Calculation Summary
Formula Used
radius = (Side/2)*(1+sqrt(5))
r = (S/2)*(1+sqrt(5))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Side - The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = (S/2)*(1+sqrt(5)) --> (9/2)*(1+sqrt(5))
Evaluating ... ...
r = 14.5623058987491
STEP 3: Convert Result to Output's Unit
14.5623058987491 Meter --> No Conversion Required
FINAL ANSWER
14.5623058987491 Meter <-- Radius
(Calculation completed in 00.000 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 Formula

radius = (Side/2)*(1+sqrt(5))
r = (S/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?

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

How to calculate Circumradius of Decagon using this online calculator? To use this online calculator for Circumradius of Decagon, enter Side (S) and hit the calculate button. Here is how the Circumradius of Decagon calculation can be explained with given input values -> 1456.231 = (9/2)*(1+sqrt(5)).

FAQ

What is Circumradius of Decagon?
The Circumradius of decagon formula is defined as straight line from the centre to the circumference of decagon, where radius= radius of decagon , where a is side and Rc is circumradius of decagon and is represented as r = (S/2)*(1+sqrt(5)) or radius = (Side/2)*(1+sqrt(5)). The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.
How to calculate Circumradius of Decagon?
The Circumradius of decagon formula is defined as straight line from the centre to the circumference of decagon, where radius= radius of decagon , where a is side and Rc is circumradius of decagon is calculated using radius = (Side/2)*(1+sqrt(5)). To calculate Circumradius of Decagon, you need Side (S). With our tool, you need to enter the respective value for Side 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 Side. 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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