Circumradius of Decagon given Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumradius of Decagon = Width of Decagon/2
rc = w/2
This formula uses 2 Variables
Variables Used
Circumradius of Decagon - (Measured in Meter) - Circumradius of Decagon is the radius of a circumcircle touching each of the Decagon's vertices.
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
rc = w/2 --> 32/2
Evaluating ... ...
rc = 16
STEP 3: Convert Result to Output's Unit
16 Meter --> No Conversion Required
FINAL ANSWER
16 Meter <-- Circumradius of Decagon
(Calculation completed in 00.004 seconds)

Credits

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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10+ Circumradius of Decagon Calculators

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

4 Radius of Decagon Calculators

Inradius of Decagon
Go Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*Side of Decagon
Circumradius of Decagon
Go Circumradius of Decagon = (1+sqrt(5))/2*Side of Decagon
Circumradius of Decagon given Width
Go Circumradius of Decagon = Width of Decagon/2
Inradius of Decagon given Height
Go Inradius of Decagon = Height of Decagon/2

Circumradius of Decagon given Width Formula

Circumradius of Decagon = Width of Decagon/2
rc = w/2

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 Width?

Circumradius of Decagon given Width calculator uses Circumradius of Decagon = Width of Decagon/2 to calculate the Circumradius of Decagon, The Circumradius of Decagon given Width formula is defined as a line connecting the circumcenter of the circle that touches all vertices of the Decagon and any point on the circle, calculated using its width. Circumradius of Decagon is denoted by rc symbol.

How to calculate Circumradius of Decagon given Width using this online calculator? To use this online calculator for Circumradius of Decagon given Width, enter Width of Decagon (w) and hit the calculate button. Here is how the Circumradius of Decagon given Width calculation can be explained with given input values -> 16 = 32/2.

FAQ

What is Circumradius of Decagon given Width?
The Circumradius of Decagon given Width formula is defined as a line connecting the circumcenter of the circle that touches all vertices of the Decagon and any point on the circle, calculated using its width and is represented as rc = w/2 or Circumradius of Decagon = Width of Decagon/2. Width of Decagon is the measurement or extent of Decagon from side to side.
How to calculate Circumradius of Decagon given Width?
The Circumradius of Decagon given Width formula is defined as a line connecting the circumcenter of the circle that touches all vertices of the Decagon and any point on the circle, calculated using its width is calculated using Circumradius of Decagon = Width of Decagon/2. To calculate Circumradius 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 Circumradius of Decagon?
In this formula, Circumradius of Decagon uses Width of Decagon. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • Circumradius of Decagon = Diagonal across Five Sides of Decagon/2
  • Circumradius of Decagon = (1+sqrt(5))/2*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))
  • Circumradius of Decagon = (1+sqrt(5))/2*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))
  • Circumradius of Decagon = (1+sqrt(5))/2*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))
  • Circumradius of Decagon = (1+sqrt(5))/2*Perimeter of Decagon/10
  • Circumradius of Decagon = (1+sqrt(5))/2*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
  • Circumradius of Decagon = (1+sqrt(5))/2*Height of Decagon/sqrt(5+(2*sqrt(5)))
  • Circumradius of Decagon = (1+sqrt(5))/2*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5)))
  • Circumradius of Decagon = (1+sqrt(5))/2*Side of Decagon
  • Circumradius of Decagon = (1+sqrt(5))/2*Side of Decagon
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