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Inradius of Hexadecagon Formula

GoInradius of Hexadecagon given Height Formula

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Inradius of Hexadecagon is defined as the radius of the circle which is inscribed inside the Hexadecagon. Check FAQs

r i = (\frac{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}}{2}) \cdot S

r_i - Inradius of Hexadecagon?S - Side of Hexadecagon?

Inradius of Hexadecagon Example

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Here is how the Inradius of Hexadecagon equation looks like with Values.

Here is how the Inradius of Hexadecagon equation looks like with Units.

Here is how the Inradius of Hexadecagon equation looks like.

12.5683 = (\frac{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}}{2}) \cdot 5

12.5683m = (\frac{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}}{2}) \cdot 5m

12.5683 = (\frac{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}}{2}) \cdot 5

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Inradius of Hexadecagon Solution

Follow our step by step solution on how to calculate Inradius of Hexadecagon?

FIRST Step Consider the formula

r i = (\frac{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}}{2}) \cdot S

Next Step Substitute values of Variables

∴

r i = (\frac{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}}{2}) \cdot 5m

Next Step Prepare to Evaluate

∴

r i = (\frac{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}}{2}) \cdot 5

Next Step Evaluate

∴

r i = 12.5683487303146m

LAST Step Rounding Answer

∴

r i = 12.5683m

Inradius of Hexadecagon Formula Elements

Variables

Functions

Inradius of Hexadecagon

Inradius of Hexadecagon is defined as the radius of the circle which is inscribed inside the Hexadecagon.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius of Hexadecagon

Side of Hexadecagon

Side of Hexadecagon is a line segment forming part of the perimeter of a Hexadecagon.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side of Hexadecagon

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Inradius of Hexadecagon

Go Inradius of Hexadecagon given Height

r i = \frac{h}{2}

Other formulas in Inradius of Hexadecagon category

Go Circumradius of Hexadecagon

r c = \sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}} \cdot S

How to Evaluate Inradius of Hexadecagon?

Inradius of Hexadecagon evaluator uses Inradius of Hexadecagon = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*Side of Hexadecagon to evaluate the Inradius of Hexadecagon, Inradius of Hexadecagon formula is defined as a straight line connecting the incenter and any point on the circle that touches all sides of the Hexadecagon. Inradius of Hexadecagon is denoted by r_i symbol.

How to evaluate Inradius of Hexadecagon using this online evaluator? To use this online evaluator for Inradius of Hexadecagon, enter Side of Hexadecagon (S) and hit the calculate button.

FAQs on Inradius of Hexadecagon

What is the formula to find Inradius of Hexadecagon?

The formula of Inradius of Hexadecagon is expressed as Inradius of Hexadecagon = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*Side of Hexadecagon. Here is an example- 12.56835 = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*5.

How to calculate Inradius of Hexadecagon?

With Side of Hexadecagon (S) we can find Inradius of Hexadecagon using the formula - Inradius of Hexadecagon = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*Side of Hexadecagon. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Inradius of Hexadecagon?

Here are the different ways to Calculate Inradius of Hexadecagon-

Inradius of Hexadecagon=Height of Hexadecagon/2

Can the Inradius of Hexadecagon be negative?

No, the Inradius of Hexadecagon, measured in Length cannot be negative.

Which unit is used to measure Inradius of Hexadecagon?

Inradius of Hexadecagon is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Inradius of Hexadecagon can be measured.

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