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Inradius of Hexadecagon given side Solution

STEP 0: Pre-Calculation Summary
Formula Used
inradius = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*Side
ri = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*S
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
ri = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*S --> ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*9
Evaluating ... ...
ri = 22.6230277145663
STEP 3: Convert Result to Output's Unit
22.6230277145663 Meter --> No Conversion Required
FINAL ANSWER
22.6230277145663 Meter <-- Inradius
(Calculation completed in 00.000 seconds)

6 Angle and Radius of Hexadecagon Calculators

Circumradius of Hexadecagon given side
circumradius = (sqrt((4+(2*sqrt(2))+sqrt(20)+(14*sqrt(2)))/2))*Side Go
Inradius of Hexadecagon given side
inradius = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*Side Go
Interior angle of Hexadecagon given sum of interior angles
interior_angle = Sum of the interior angles of regular polygon/16 Go
Sum of interior angles of Hexadecagon given one interior angle
sum_of_the_interior_angles = 16* Interior Angle Go
Circumradius of Hexadecagon given diagonal
circumradius = Diagonal/2 Go
Inradius of Hexadecagon given diagonal
inradius = Diagonal/2 Go

Inradius of Hexadecagon given side Formula

inradius = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*Side
ri = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*S

What are properties of hexadecagon?

It has 104 diagonals. The sum of its interior angles is 2520°. If the hexadecagon is a regular hexadecagon, each of its interior angles measures 157.5 °.

How to Calculate Inradius of Hexadecagon given side?

Inradius of Hexadecagon given side calculator uses inradius = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*Side to calculate the Inradius, Inradius of Hexadecagon given side formula is defined as a straight line connecting incenter and any point on circle that touches all vertices of hexadecagon. Inradius and is denoted by ri symbol.

How to calculate Inradius of Hexadecagon given side using this online calculator? To use this online calculator for Inradius of Hexadecagon given side, enter Side (S) and hit the calculate button. Here is how the Inradius of Hexadecagon given side calculation can be explained with given input values -> 22.62303 = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*9.

FAQ

What is Inradius of Hexadecagon given side?
Inradius of Hexadecagon given side formula is defined as a straight line connecting incenter and any point on circle that touches all vertices of hexadecagon and is represented as ri = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*S or inradius = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*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.
How to calculate Inradius of Hexadecagon given side?
Inradius of Hexadecagon given side formula is defined as a straight line connecting incenter and any point on circle that touches all vertices of hexadecagon is calculated using inradius = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*Side. To calculate Inradius of Hexadecagon given side, 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 Inradius?
In this formula, Inradius uses Side. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • circumradius = (sqrt((4+(2*sqrt(2))+sqrt(20)+(14*sqrt(2)))/2))*Side
  • inradius = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*Side
  • circumradius = Diagonal/2
  • inradius = Diagonal/2
  • sum_of_the_interior_angles = 16* Interior Angle
  • interior_angle = Sum of the interior angles of regular polygon/16
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