Inradius of Hexadecagon given Diagonal across Seven Sides Calculator

✖Diagonal across Seven Sides of Hexadecagon is a straight line joining two non-adjacent vertices across seven sides of Hexadecagon.ⓘ Diagonal across Seven Sides of Hexadecagon [d₇]

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✖Inradius of Hexadecagon is defined as the radius of the circle which is inscribed inside the Hexadecagon.ⓘ Inradius of Hexadecagon given Diagonal across Seven Sides [r_i]

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Formula

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Inradius of Hexadecagon given Diagonal across Seven Sides

Formula

`"r"_{"i"} = "d"_{"7"}/2`

Example

`"12.5m"="25m"/2`

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Inradius of Hexadecagon given Diagonal across Seven Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Hexadecagon = Diagonal across Seven Sides of Hexadecagon/2
r_i = d₇/2
This formula uses 2 Variables

Variables Used

Inradius of Hexadecagon - (Measured in Meter) - Inradius of Hexadecagon is defined as the radius of the circle which is inscribed inside the Hexadecagon.
Diagonal across Seven Sides of Hexadecagon - (Measured in Meter) - Diagonal across Seven Sides of Hexadecagon is a straight line joining two non-adjacent vertices across seven sides of Hexadecagon.

STEP 1: Convert Input(s) to Base Unit

Diagonal across Seven Sides of Hexadecagon: 25 Meter --> 25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = d₇/2 --> 25/2

Evaluating ... ...

r_i = 12.5

STEP 3: Convert Result to Output's Unit

12.5 Meter --> No Conversion Required

FINAL ANSWER

12.5 Meter <-- Inradius of Hexadecagon

(Calculation completed in 00.004 seconds)

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< 12 Inradius of Hexadecagon Calculators

Inradius of Hexadecagon given Circumradius

Go Inradius of Hexadecagon = Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)

Inradius of Hexadecagon given Diagonal across Three Sides

Go Inradius of Hexadecagon = (Diagonal across Three Sides of Hexadecagon*sin(pi/16))/sin((3*pi)/16)*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)

Inradius of Hexadecagon given Diagonal across Five Sides

Go Inradius of Hexadecagon = (Diagonal across Five Sides of Hexadecagon*sin(pi/16))/sin((5*pi)/16)*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)

Inradius of Hexadecagon given Diagonal across Six Sides

Go Inradius of Hexadecagon = (Diagonal across Six Sides of Hexadecagon*sin(pi/16))/sin((3*pi)/8)*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)

Inradius of Hexadecagon given Diagonal across Two Sides

Go Inradius of Hexadecagon = (Diagonal across Two Sides of Hexadecagon*sin(pi/16))/sin(pi/8)*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)

Inradius of Hexadecagon given Diagonal across Four Sides

Go Inradius of Hexadecagon = Diagonal across Four Sides of Hexadecagon*sqrt(2)*sin(pi/16)*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)

Inradius of Hexadecagon given Area

Go Inradius of Hexadecagon = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*sqrt((Area of Hexadecagon)/(4*cot(pi/16)))

Inradius of Hexadecagon given Diagonal across Eight Sides

Go Inradius of Hexadecagon = Diagonal across Eight Sides of Hexadecagon*sin(pi/16)*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)

Inradius of Hexadecagon given Perimeter

Go Inradius of Hexadecagon = Perimeter of Hexadecagon/16*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)

Inradius of Hexadecagon

Go Inradius of Hexadecagon = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*Side of Hexadecagon

Inradius of Hexadecagon given Diagonal across Seven Sides

Go Inradius of Hexadecagon = Diagonal across Seven Sides of Hexadecagon/2

Inradius of Hexadecagon given Height

Go Inradius of Hexadecagon = Height of Hexadecagon/2

Inradius of Hexadecagon given Diagonal across Seven Sides Formula

Inradius of Hexadecagon = Diagonal across Seven Sides of Hexadecagon/2
r_i = d₇/2

What is a Hexadecagon?

A Hexadecagon is a 16-sided polygon, in which all angles are equal and all sides are congruent. Each angle of a regular hexadecagon is 157.5 degrees, and the total angle measure of any hexadecagon is 2520 degrees. Hexadecagons are sometimes used in art and architecture.

How to Calculate Inradius of Hexadecagon given Diagonal across Seven Sides?

Inradius of Hexadecagon given Diagonal across Seven Sides calculator uses Inradius of Hexadecagon = Diagonal across Seven Sides of Hexadecagon/2 to calculate the Inradius of Hexadecagon, Inradius of Hexadecagon given Diagonal across Seven Sides formula is defined as a straight line connecting the in-center and any point on the circle that touches all sides of the Hexadecagon, calculated using diagonal across seven sides. Inradius of Hexadecagon is denoted by r_i symbol.

How to calculate Inradius of Hexadecagon given Diagonal across Seven Sides using this online calculator? To use this online calculator for Inradius of Hexadecagon given Diagonal across Seven Sides, enter Diagonal across Seven Sides of Hexadecagon (d₇) and hit the calculate button. Here is how the Inradius of Hexadecagon given Diagonal across Seven Sides calculation can be explained with given input values -> 12.5 = 25/2.

FAQ

What is Inradius of Hexadecagon given Diagonal across Seven Sides?

Inradius of Hexadecagon given Diagonal across Seven Sides formula is defined as a straight line connecting the in-center and any point on the circle that touches all sides of the Hexadecagon, calculated using diagonal across seven sides and is represented as r_i = d₇/2 or Inradius of Hexadecagon = Diagonal across Seven Sides of Hexadecagon/2. Diagonal across Seven Sides of Hexadecagon is a straight line joining two non-adjacent vertices across seven sides of Hexadecagon.

How to calculate Inradius of Hexadecagon given Diagonal across Seven Sides?

Inradius of Hexadecagon given Diagonal across Seven Sides formula is defined as a straight line connecting the in-center and any point on the circle that touches all sides of the Hexadecagon, calculated using diagonal across seven sides is calculated using Inradius of Hexadecagon = Diagonal across Seven Sides of Hexadecagon/2. To calculate Inradius of Hexadecagon given Diagonal across Seven Sides, you need Diagonal across Seven Sides of Hexadecagon (d₇). With our tool, you need to enter the respective value for Diagonal across Seven Sides of Hexadecagon 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 Hexadecagon?

In this formula, Inradius of Hexadecagon uses Diagonal across Seven Sides of Hexadecagon. We can use 11 other way(s) to calculate the same, which is/are as follows -

Inradius of Hexadecagon = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*Side of Hexadecagon
Inradius of Hexadecagon = Diagonal across Eight Sides of Hexadecagon*sin(pi/16)*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)
Inradius of Hexadecagon = (Diagonal across Six Sides of Hexadecagon*sin(pi/16))/sin((3*pi)/8)*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)
Inradius of Hexadecagon = (Diagonal across Five Sides of Hexadecagon*sin(pi/16))/sin((5*pi)/16)*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)
Inradius of Hexadecagon = Diagonal across Four Sides of Hexadecagon*sqrt(2)*sin(pi/16)*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)
Inradius of Hexadecagon = (Diagonal across Three Sides of Hexadecagon*sin(pi/16))/sin((3*pi)/16)*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)
Inradius of Hexadecagon = (Diagonal across Two Sides of Hexadecagon*sin(pi/16))/sin(pi/8)*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)
Inradius of Hexadecagon = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*sqrt((Area of Hexadecagon)/(4*cot(pi/16)))
Inradius of Hexadecagon = Perimeter of Hexadecagon/16*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)
Inradius of Hexadecagon = Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)
Inradius of Hexadecagon = Height of Hexadecagon/2

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