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Circumradius of Decagon given Area Formula

GoCircumradius of Decagon given Width Formula

GoCircumradius of Decagon given Diagonal across Five Sides Formula

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

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

r_c - Circumradius of Decagon?A - Area of Decagon?

Circumradius of Decagon given Area Example

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Here is how the Circumradius of Decagon given Area equation looks like with Values.

Here is how the Circumradius of Decagon given Area equation looks like with Units.

Here is how the Circumradius of Decagon given Area equation looks like.

16.1864 = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{\frac{2 \cdot 770}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

16.1864m = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{\frac{2 \cdot 770m²}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

16.1864 = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{\frac{2 \cdot 770}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

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Circumradius of Decagon given Area Solution

Follow our step by step solution on how to calculate Circumradius of Decagon given Area?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{\frac{2 \cdot 770m²}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

Next Step Prepare to Evaluate

∴

r c = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{\frac{2 \cdot 770}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

Next Step Evaluate

∴

r c = 16.1864279250373m

LAST Step Rounding Answer

∴

r c = 16.1864m

Circumradius of Decagon given Area Formula Elements

Variables

Functions

Circumradius of Decagon

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

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Decagon

Area of Decagon

Area of Decagon is the amount of 2-dimensional space occupied by the Decagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Decagon

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 Circumradius of Decagon

Go Circumradius of Decagon given Width

r c = \frac{w}{2}

Go Circumradius of Decagon given Diagonal across Five Sides

r c = \frac{d 5}{2}

Go Circumradius of Decagon given Diagonal across Four Sides

r c = \frac{1 + \sqrt{5}}{2} \cdot \frac{d 4}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Go Circumradius of Decagon given Diagonal across Three Sides

r c = \frac{1 + \sqrt{5}}{2} \cdot \frac{2 \cdot d 3}{\sqrt{14 + (6 \cdot \sqrt{5})}}

How to Evaluate Circumradius of Decagon given Area?

Circumradius of Decagon given Area evaluator uses Circumradius of Decagon = (1+sqrt(5))/2*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))) to evaluate the Circumradius of Decagon, The Circumradius of Decagon given Area formula is defined as a line connecting the circumcenter of the circle that touches all vertices of the Decagon and any point on the circle, calculated using its area. Circumradius of Decagon is denoted by r_c symbol.

How to evaluate Circumradius of Decagon given Area using this online evaluator? To use this online evaluator for Circumradius of Decagon given Area, enter Area of Decagon (A) and hit the calculate button.

FAQs on Circumradius of Decagon given Area

What is the formula to find Circumradius of Decagon given Area?

The formula of Circumradius of Decagon given Area is expressed as Circumradius of Decagon = (1+sqrt(5))/2*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))). Here is an example- 16.18643 = (1+sqrt(5))/2*sqrt((2*770)/(5*sqrt(5+(2*sqrt(5))))).

How to calculate Circumradius of Decagon given Area?

With Area of Decagon (A) we can find Circumradius of Decagon given Area using the formula - Circumradius of Decagon = (1+sqrt(5))/2*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumradius of Decagon?

Here are the different ways to Calculate Circumradius of Decagon-

Circumradius of Decagon=Width of Decagon/2
Circumradius of Decagon=Diagonal across Five Sides of Decagon/2
Circumradius of Decagon=(1+sqrt(5))/2*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))

Can the Circumradius of Decagon given Area be negative?

No, the Circumradius of Decagon given Area, measured in Length cannot be negative.

Which unit is used to measure Circumradius of Decagon given Area?

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

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