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Inradius of Hexadecagon given Perimeter Formula

GoInradius of Hexadecagon Formula

GoInradius of Hexadecagon given Diagonal across Seven Sides 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{P}{16} \cdot (\frac{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}}{2})

r_i - Inradius of Hexadecagon?P - Perimeter of Hexadecagon?

Inradius of Hexadecagon given Perimeter Example

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

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

Here is how the Inradius of Hexadecagon given Perimeter equation looks like.

12.5683 = \frac{80}{16} \cdot (\frac{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}}{2})

12.5683m = \frac{80m}{16} \cdot (\frac{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}}{2})

12.5683 = \frac{80}{16} \cdot (\frac{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}}{2})

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Inradius of Hexadecagon given Perimeter Solution

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

FIRST Step Consider the formula

r i = \frac{P}{16} \cdot (\frac{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}}{2})

Next Step Substitute values of Variables

∴

r i = \frac{80m}{16} \cdot (\frac{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}}{2})

Next Step Prepare to Evaluate

∴

r i = \frac{80}{16} \cdot (\frac{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}}{2})

Next Step Evaluate

∴

r i = 12.5683487303146m

LAST Step Rounding Answer

∴

r i = 12.5683m

Inradius of Hexadecagon given Perimeter 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

Perimeter of Hexadecagon

Perimeter of Hexadecagon is the total distance around the edge of the Hexadecagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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

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

Go Inradius of Hexadecagon given Diagonal across Seven Sides

r i = \frac{d 7}{2}

Go Inradius of Hexadecagon given Diagonal across Eight Sides

r i = d 8 \cdot \sin (\frac{π}{16}) \cdot (\frac{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}}{2})

Go Inradius of Hexadecagon given Diagonal across Six Sides

r i = \frac{d 6 \cdot \sin (\frac{π}{16})}{\sin (\frac{3 \cdot π}{8})} \cdot (\frac{1 + \sqrt{2} + \sqrt{2 \cdot (2 + \sqrt{2})}}{2})

How to Evaluate Inradius of Hexadecagon given Perimeter?

Inradius of Hexadecagon given Perimeter evaluator uses Inradius of Hexadecagon = Perimeter of Hexadecagon/16*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2) to evaluate the Inradius of Hexadecagon, The Inradius of Hexadecagon given Perimeter 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 the perimeter. Inradius of Hexadecagon is denoted by r_i symbol.

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

FAQs on Inradius of Hexadecagon given Perimeter

What is the formula to find Inradius of Hexadecagon given Perimeter?

The formula of Inradius of Hexadecagon given Perimeter is expressed as Inradius of Hexadecagon = Perimeter of Hexadecagon/16*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2). Here is an example- 12.56835 = 80/16*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2).

How to calculate Inradius of Hexadecagon given Perimeter?

With Perimeter of Hexadecagon (P) we can find Inradius of Hexadecagon given Perimeter using the formula - Inradius of Hexadecagon = Perimeter of Hexadecagon/16*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2). 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=((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*Side of Hexadecagon
Inradius of Hexadecagon=Diagonal across Seven Sides of Hexadecagon/2
Inradius of Hexadecagon=Diagonal across Eight Sides of Hexadecagon*sin(pi/16)*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)

Can the Inradius of Hexadecagon given Perimeter be negative?

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

Which unit is used to measure Inradius of Hexadecagon given Perimeter?

Inradius of Hexadecagon given Perimeter 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 given Perimeter can be measured.

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