Inradius of Decagon given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inradius of Decagon = Height of Decagon/2
ri = h/2
This formula uses 2 Variables
Variables Used
Inradius of Decagon - (Measured in Meter) - Inradius of Decagon is the length of the straight line from the center to any point on the incircle of the Decagon.
Height of Decagon - (Measured in Meter) - Height of Decagon is the length of a perpendicular line drawn from one vertex to the opposite side.
STEP 1: Convert Input(s) to Base Unit
Height of Decagon: 31 Meter --> 31 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ri = h/2 --> 31/2
Evaluating ... ...
ri = 15.5
STEP 3: Convert Result to Output's Unit
15.5 Meter --> No Conversion Required
FINAL ANSWER
15.5 Meter <-- Inradius of Decagon
(Calculation completed in 00.004 seconds)

Credits

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

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

Inradius of Decagon given Height Formula

Inradius of Decagon = Height of Decagon/2
ri = h/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 Inradius of Decagon given Height?

Inradius of Decagon given Height calculator uses Inradius of Decagon = Height of Decagon/2 to calculate the Inradius of Decagon, The Inradius of Decagon given Height formula is defined as the length of the straight line from the center to any point on the incircle of the Decagon, calculated using height. Inradius of Decagon is denoted by ri symbol.

How to calculate Inradius of Decagon given Height using this online calculator? To use this online calculator for Inradius of Decagon given Height, enter Height of Decagon (h) and hit the calculate button. Here is how the Inradius of Decagon given Height calculation can be explained with given input values -> 15.5 = 31/2.

FAQ

What is Inradius of Decagon given Height?
The Inradius of Decagon given Height formula is defined as the length of the straight line from the center to any point on the incircle of the Decagon, calculated using height and is represented as ri = h/2 or Inradius of Decagon = Height of Decagon/2. Height of Decagon is the length of a perpendicular line drawn from one vertex to the opposite side.
How to calculate Inradius of Decagon given Height?
The Inradius of Decagon given Height formula is defined as the length of the straight line from the center to any point on the incircle of the Decagon, calculated using height is calculated using Inradius of Decagon = Height of Decagon/2. To calculate Inradius of Decagon given Height, you need Height of Decagon (h). With our tool, you need to enter the respective value for Height 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 Inradius of Decagon?
In this formula, Inradius of Decagon uses Height of Decagon. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*Side of Decagon
  • Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*Diagonal across Five Sides of Decagon/(1+sqrt(5))
  • Inradius of Decagon = Diagonal across Four Sides of Decagon/2
  • Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))
  • Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))
  • Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*Perimeter of Decagon/10
  • Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
  • Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*(2*Circumradius of Decagon)/(1+sqrt(5))
  • Inradius of Decagon = ((Width of Decagon*sqrt(5+(2*sqrt(5))))/(1+sqrt(5)))/2
  • Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*Side of Decagon
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