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Area of Equilateral Triangle given Inradius Formula

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GoArea of Equilateral Triangle given Height Formula

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The Area of Equilateral Triangle is the amount of space or region occupied by the Equilateral triangle in the plane. Check FAQs

A = 3 \cdot \sqrt{3} \cdot {r i}^{2}

A - Area of Equilateral Triangle?r_i - Inradius of Equilateral Triangle?

Area of Equilateral Triangle given Inradius Example

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

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

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

20.7846 = 3 \cdot \sqrt{3} \cdot 2^{2}

20.7846m² = 3 \cdot \sqrt{3} \cdot {2m}^{2}

20.7846 = 3 \cdot \sqrt{3} \cdot 2^{2}

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Area of Equilateral Triangle given Inradius Solution

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

FIRST Step Consider the formula

A = 3 \cdot \sqrt{3} \cdot {r i}^{2}

Next Step Substitute values of Variables

∴

A = 3 \cdot \sqrt{3} \cdot {2m}^{2}

Next Step Prepare to Evaluate

∴

A = 3 \cdot \sqrt{3} \cdot 2^{2}

Next Step Evaluate

∴

A = 20.7846096908265m²

LAST Step Rounding Answer

∴

A = 20.7846m²

Area of Equilateral Triangle given Inradius Formula Elements

Variables

Functions

Area of Equilateral Triangle

The Area of Equilateral Triangle is the amount of space or region occupied by the Equilateral triangle in the plane.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Equilateral Triangle

Inradius of Equilateral Triangle

The Inradius of Equilateral Triangle is defined as the radius of the circle which is inscribed inside the triangle.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius of Equilateral Triangle

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 Area of Equilateral Triangle

Go Area of Equilateral Triangle

A = \frac{\sqrt{3}}{4} \cdot {l e}^{2}

Go Area of Equilateral Triangle given Height

A = \frac{h^{2}}{\sqrt{3}}

Go Area of Equilateral Triangle given Perimeter

A = \frac{P^{2}}{12 \cdot \sqrt{3}}

Go Area of Equilateral Triangle given Circumradius

A = \frac{3 \cdot \sqrt{3}}{4} \cdot {r c}^{2}

How to Evaluate Area of Equilateral Triangle given Inradius?

Area of Equilateral Triangle given Inradius evaluator uses Area of Equilateral Triangle = 3*sqrt(3)*Inradius of Equilateral Triangle^2 to evaluate the Area of Equilateral Triangle, The Area of Equilateral Triangle given Inradius formula is defined as the total region that is enclosed by the three sides of an equilateral triangle, calculated using the inradius. Area of Equilateral Triangle is denoted by A symbol.

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

FAQs on Area of Equilateral Triangle given Inradius

What is the formula to find Area of Equilateral Triangle given Inradius?

The formula of Area of Equilateral Triangle given Inradius is expressed as Area of Equilateral Triangle = 3*sqrt(3)*Inradius of Equilateral Triangle^2. Here is an example- 20.78461 = 3*sqrt(3)*2^2.

How to calculate Area of Equilateral Triangle given Inradius?

With Inradius of Equilateral Triangle (r_i) we can find Area of Equilateral Triangle given Inradius using the formula - Area of Equilateral Triangle = 3*sqrt(3)*Inradius of Equilateral Triangle^2. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Area of Equilateral Triangle?

Here are the different ways to Calculate Area of Equilateral Triangle-

Area of Equilateral Triangle=sqrt(3)/4*Edge Length of Equilateral Triangle^2
Area of Equilateral Triangle=(Height of Equilateral Triangle^2)/(sqrt(3))
Area of Equilateral Triangle=Perimeter of Equilateral Triangle^2/(12*sqrt(3))

Can the Area of Equilateral Triangle given Inradius be negative?

No, the Area of Equilateral Triangle given Inradius, measured in Area cannot be negative.

Which unit is used to measure Area of Equilateral Triangle given Inradius?

Area of Equilateral Triangle given Inradius is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Equilateral Triangle given Inradius can be measured.

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