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Inradius of Decagon given Area Formula

GoInradius of Decagon Formula

GoInradius of Decagon given Diagonal across Five Sides Formula

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Inradius of Decagon is the length of the straight line from the center to any point on the incircle of the Decagon. Check FAQs

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

r_i - Inradius of Decagon?A - Area of Decagon?

Inradius of Decagon given Area Example

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

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

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

15.3942 = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{2 \cdot 770}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

15.3942m = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{2 \cdot 770m²}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

15.3942 = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{2 \cdot 770}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

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Inradius of Decagon given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r i = 15.3942077536486m

LAST Step Rounding Answer

∴

r i = 15.3942m

Inradius of Decagon given Area Formula Elements

Variables

Functions

Inradius of Decagon

Inradius of Decagon is the length of the straight line from the center to any point on the incircle of the Decagon.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius 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 Inradius of Decagon

Go Inradius of Decagon

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

Go Inradius of Decagon given Diagonal across Five Sides

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

Go Inradius of Decagon given Diagonal across Four Sides

r i = \frac{d 4}{2}

Go Inradius of Decagon given Diagonal across Three Sides

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

How to Evaluate Inradius of Decagon given Area?

Inradius of Decagon given Area evaluator uses Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))) to evaluate the Inradius of Decagon, The Inradius of Decagon given Area formula is defined as the length of the straight line from the center to any point on the incircle of the Decagon, calculated using the area. Inradius of Decagon is denoted by r_i symbol.

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

FAQs on Inradius of Decagon given Area

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

The formula of Inradius of Decagon given Area is expressed as Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))). Here is an example- 15.39421 = sqrt(5+(2*sqrt(5)))/2*sqrt((2*770)/(5*sqrt(5+(2*sqrt(5))))).

How to calculate Inradius of Decagon given Area?

With Area of Decagon (A) we can find Inradius of Decagon given Area using the formula - Inradius of Decagon = sqrt(5+(2*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 Inradius of Decagon?

Here are the different ways to Calculate Inradius of Decagon-

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

Can the Inradius of Decagon given Area be negative?

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

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

Inradius 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 Inradius of Decagon given Area can be measured.

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