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Area of Equilateral Triangle given Circumradius 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 = \frac{3 \cdot \sqrt{3}}{4} \cdot {r c}^{2}

A - Area of Equilateral Triangle?r_c - Circumradius of Equilateral Triangle?

Area of Equilateral Triangle given Circumradius Example

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

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

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

32.476 = \frac{3 \cdot \sqrt{3}}{4} \cdot 5^{2}

32.476m² = \frac{3 \cdot \sqrt{3}}{4} \cdot {5m}^{2}

32.476 = \frac{3 \cdot \sqrt{3}}{4} \cdot 5^{2}

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Area of Equilateral Triangle given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{3 \cdot \sqrt{3}}{4} \cdot {5m}^{2}

Next Step Prepare to Evaluate

∴

A = \frac{3 \cdot \sqrt{3}}{4} \cdot 5^{2}

Next Step Evaluate

∴

A = 32.4759526419165m²

LAST Step Rounding Answer

∴

A = 32.476m²

Area of Equilateral Triangle given Circumradius 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

Circumradius of Equilateral Triangle

The Circumradius of Equilateral Triangle is the radius of a circumcircle touching each of the Equilateral Triangle's vertices.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius 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 Inradius

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

How to Evaluate Area of Equilateral Triangle given Circumradius?

Area of Equilateral Triangle given Circumradius evaluator uses Area of Equilateral Triangle = (3*sqrt(3))/4*Circumradius of Equilateral Triangle^2 to evaluate the Area of Equilateral Triangle, The Area of Equilateral Triangle given Circumradius formula is defined as the total region that is enclosed by the three sides of an equilateral triangle, calculated using the circumradius. Area of Equilateral Triangle is denoted by A symbol.

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

FAQs on Area of Equilateral Triangle given Circumradius

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

The formula of Area of Equilateral Triangle given Circumradius is expressed as Area of Equilateral Triangle = (3*sqrt(3))/4*Circumradius of Equilateral Triangle^2. Here is an example- 32.47595 = (3*sqrt(3))/4*5^2.

How to calculate Area of Equilateral Triangle given Circumradius?

With Circumradius of Equilateral Triangle (r_c) we can find Area of Equilateral Triangle given Circumradius using the formula - Area of Equilateral Triangle = (3*sqrt(3))/4*Circumradius 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 Circumradius be negative?

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

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

Area of Equilateral Triangle given Circumradius 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 Circumradius can be measured.

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