FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Circumradius of Pentagon given Area Formula

GoCircumradius of Pentagon given Edge Length using Central Angle Formula

GoCircumradius of Pentagon given Inradius Formula

Fx Copy

LaTeX Copy

The Circumradius of Pentagon is the radius of a circumcircle touching each of the vertices of Pentagon. Check FAQs

r c = \frac{\sqrt{50 + (10 \cdot \sqrt{5})}}{10} \cdot \sqrt{\frac{4 \cdot A}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

r_c - Circumradius of Pentagon?A - Area of Pentagon?

Circumradius of Pentagon given Area Example

With values

With units

Only example

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

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

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

8.4557 = \frac{\sqrt{50 + (10 \cdot \sqrt{5})}}{10} \cdot \sqrt{\frac{4 \cdot 170}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

8.4557m = \frac{\sqrt{50 + (10 \cdot \sqrt{5})}}{10} \cdot \sqrt{\frac{4 \cdot 170m²}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

8.4557 = \frac{\sqrt{50 + (10 \cdot \sqrt{5})}}{10} \cdot \sqrt{\frac{4 \cdot 170}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Circumradius of Pentagon given Area

Circumradius of Pentagon given Area Solution

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

FIRST Step Consider the formula

r c = \frac{\sqrt{50 + (10 \cdot \sqrt{5})}}{10} \cdot \sqrt{\frac{4 \cdot A}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{50 + (10 \cdot \sqrt{5})}}{10} \cdot \sqrt{\frac{4 \cdot 170m²}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{50 + (10 \cdot \sqrt{5})}}{10} \cdot \sqrt{\frac{4 \cdot 170}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Evaluate

∴

r c = 8.45573363157817m

LAST Step Rounding Answer

∴

r c = 8.4557m

Circumradius of Pentagon given Area Formula Elements

Variables

Functions

Circumradius of Pentagon

The Circumradius of Pentagon is the radius of a circumcircle touching each of the vertices of Pentagon.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Pentagon

Area of Pentagon

The Area of Pentagon is the amount of two-dimensional space taken up by a Pentagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Pentagon

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 Pentagon

Go Circumradius of Pentagon given Edge Length using Central Angle

r c = \frac{l e}{2 \cdot \sin (\frac{π}{5})}

Go Circumradius of Pentagon given Inradius

r c = \frac{r i}{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{\sqrt{50 + (10 \cdot \sqrt{5})}}}

Go Circumradius of Pentagon

r c = \frac{l e}{10} \cdot \sqrt{50 + (10 \cdot \sqrt{5})}

Go Circumradius of Pentagon given Inradius using Central Angle

r c = \frac{r i}{\cos (\frac{π}{5})}

How to Evaluate Circumradius of Pentagon given Area?

Circumradius of Pentagon given Area evaluator uses Circumradius of Pentagon = sqrt(50+(10*sqrt(5)))/10*sqrt((4*Area of Pentagon)/sqrt(25+(10*sqrt(5)))) to evaluate the Circumradius of Pentagon, The Circumradius of Pentagon given Area formula is defined as the line connecting the center and a point on the circumcircle of the Pentagon, calculated using the area. Circumradius of Pentagon is denoted by r_c symbol.

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

FAQs on Circumradius of Pentagon given Area

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

The formula of Circumradius of Pentagon given Area is expressed as Circumradius of Pentagon = sqrt(50+(10*sqrt(5)))/10*sqrt((4*Area of Pentagon)/sqrt(25+(10*sqrt(5)))). Here is an example- 8.455734 = sqrt(50+(10*sqrt(5)))/10*sqrt((4*170)/sqrt(25+(10*sqrt(5)))).

How to calculate Circumradius of Pentagon given Area?

With Area of Pentagon (A) we can find Circumradius of Pentagon given Area using the formula - Circumradius of Pentagon = sqrt(50+(10*sqrt(5)))/10*sqrt((4*Area of Pentagon)/sqrt(25+(10*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumradius of Pentagon?

Here are the different ways to Calculate Circumradius of Pentagon-

Circumradius of Pentagon=(Edge Length of Pentagon)/(2*sin(pi/5))
Circumradius of Pentagon=(Inradius of Pentagon)/(sqrt(25+(10*sqrt(5)))/sqrt(50+(10*sqrt(5))))
Circumradius of Pentagon=Edge Length of Pentagon/10*sqrt(50+(10*sqrt(5)))

Can the Circumradius of Pentagon given Area be negative?

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

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

Circumradius of Pentagon 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 Pentagon given Area can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit