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Circumradius of Hexadecagon Formula

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Circumradius of Hexadecagon is the radius of a circumcircle touching each of the Hexadecagon's vertices. Check FAQs

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

r_c - Circumradius of Hexadecagon?S - Side of Hexadecagon?

Circumradius of Hexadecagon Example

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

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

Here is how the Circumradius of Hexadecagon equation looks like.

12.8146 = \sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}} \cdot 5

12.8146m = \sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}} \cdot 5m

12.8146 = \sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}} \cdot 5

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Circumradius of Hexadecagon Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}} \cdot 5m

Next Step Prepare to Evaluate

∴

r c = \sqrt{\frac{4 + (2 \cdot \sqrt{2}) + \sqrt{20 + (14 \cdot \sqrt{2})}}{2}} \cdot 5

Next Step Evaluate

∴

r c = 12.8145772387075m

LAST Step Rounding Answer

∴

r c = 12.8146m

Circumradius of Hexadecagon Formula Elements

Variables

Functions

Circumradius of Hexadecagon

Circumradius of Hexadecagon is the radius of a circumcircle touching each of the Hexadecagon's vertices.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius 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 in Circumradius of Hexadecagon category

Go Inradius of Hexadecagon

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

Go Inradius of Hexadecagon given Height

r i = \frac{h}{2}

How to Evaluate Circumradius of Hexadecagon?

Circumradius of Hexadecagon evaluator uses Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Side of Hexadecagon to evaluate the Circumradius of Hexadecagon, Circumradius of Hexadecagon given side formula is defined as a straight line connecting circumcenter and any point on the circle that touches all the vertices of the Hexadecagon. Circumradius of Hexadecagon is denoted by r_c symbol.

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

FAQs on Circumradius of Hexadecagon

What is the formula to find Circumradius of Hexadecagon?

The formula of Circumradius of Hexadecagon is expressed as Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Side of Hexadecagon. Here is an example- 12.81458 = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*5.

How to calculate Circumradius of Hexadecagon?

With Side of Hexadecagon (S) we can find Circumradius of Hexadecagon using the formula - Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Side of Hexadecagon. This formula also uses Square Root (sqrt) function(s).

Can the Circumradius of Hexadecagon be negative?

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

Which unit is used to measure Circumradius of Hexadecagon?

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

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