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Area of Equilateral Triangle given Exradius Formula

GoArea of Equilateral Triangle Formula

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 = \frac{{r e}^{2}}{\sqrt{3}}

A - Area of Equilateral Triangle?r_e - Exradius of Equilateral Triangle?

Area of Equilateral Triangle given Exradius Example

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

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

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

28.2902 = \frac{7^{2}}{\sqrt{3}}

28.2902m² = \frac{{7m}^{2}}{\sqrt{3}}

28.2902 = \frac{7^{2}}{\sqrt{3}}

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Area of Equilateral Triangle given Exradius Solution

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

FIRST Step Consider the formula

A = \frac{{r e}^{2}}{\sqrt{3}}

Next Step Substitute values of Variables

∴

A = \frac{{7m}^{2}}{\sqrt{3}}

Next Step Prepare to Evaluate

∴

A = \frac{7^{2}}{\sqrt{3}}

Next Step Evaluate

∴

A = 28.2901631902917m²

LAST Step Rounding Answer

∴

A = 28.2902m²

Area of Equilateral Triangle given Exradius 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

Exradius of Equilateral Triangle

Exradius of Equilateral Triangle is the radius of the escribed circle of the triangle.

Symbol: r_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Exradius 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 Exradius?

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

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

FAQs on Area of Equilateral Triangle given Exradius

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

The formula of Area of Equilateral Triangle given Exradius is expressed as Area of Equilateral Triangle = (Exradius of Equilateral Triangle^2)/(sqrt(3)). Here is an example- 28.29016 = (7^2)/(sqrt(3)).

How to calculate Area of Equilateral Triangle given Exradius?

With Exradius of Equilateral Triangle (r_e) we can find Area of Equilateral Triangle given Exradius using the formula - Area of Equilateral Triangle = (Exradius of Equilateral Triangle^2)/(sqrt(3)). 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 Exradius be negative?

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

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

Area of Equilateral Triangle given Exradius 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 Exradius can be measured.

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