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Circumradius of Equilateral Triangle given Area Formula

GoCircumradius of Equilateral Triangle Formula

GoCircumradius of Equilateral Triangle given Height Formula

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

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

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

Circumradius of Equilateral Triangle given Area Example

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

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

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

4.8056 = \sqrt{\frac{4 \cdot 30}{3 \cdot \sqrt{3}}}

4.8056m = \sqrt{\frac{4 \cdot 30m²}{3 \cdot \sqrt{3}}}

4.8056 = \sqrt{\frac{4 \cdot 30}{3 \cdot \sqrt{3}}}

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Circumradius of Equilateral Triangle given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \sqrt{\frac{4 \cdot 30m²}{3 \cdot \sqrt{3}}}

Next Step Prepare to Evaluate

∴

r c = \sqrt{\frac{4 \cdot 30}{3 \cdot \sqrt{3}}}

Next Step Evaluate

∴

r c = 4.80562282826951m

LAST Step Rounding Answer

∴

r c = 4.8056m

Circumradius of Equilateral Triangle given Area Formula Elements

Variables

Functions

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

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

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 Equilateral Triangle

Go Circumradius of Equilateral Triangle

r c = \frac{l e}{\sqrt{3}}

Go Circumradius of Equilateral Triangle given Height

r c = \frac{2}{3} \cdot h

Go Circumradius of Equilateral Triangle given Perimeter

r c = \frac{P}{3 \cdot \sqrt{3}}

Go Circumradius of Equilateral Triangle given Inradius

r c = 2 \cdot r i

How to Evaluate Circumradius of Equilateral Triangle given Area?

Circumradius of Equilateral Triangle given Area evaluator uses Circumradius of Equilateral Triangle = sqrt((4*Area of Equilateral Triangle)/(3*sqrt(3))) to evaluate the Circumradius of Equilateral Triangle, The Circumradius of Equilateral Triangle given Area formula is defined as the radius of the circle circumscribing the Equilateral Triangle, calculated using area. Circumradius of Equilateral Triangle is denoted by r_c symbol.

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

FAQs on Circumradius of Equilateral Triangle given Area

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

The formula of Circumradius of Equilateral Triangle given Area is expressed as Circumradius of Equilateral Triangle = sqrt((4*Area of Equilateral Triangle)/(3*sqrt(3))). Here is an example- 4.805623 = sqrt((4*30)/(3*sqrt(3))).

How to calculate Circumradius of Equilateral Triangle given Area?

With Area of Equilateral Triangle (A) we can find Circumradius of Equilateral Triangle given Area using the formula - Circumradius of Equilateral Triangle = sqrt((4*Area of Equilateral Triangle)/(3*sqrt(3))). This formula also uses Square Root (sqrt) function(s).

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

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

Circumradius of Equilateral Triangle=Edge Length of Equilateral Triangle/sqrt(3)
Circumradius of Equilateral Triangle=2/3*Height of Equilateral Triangle
Circumradius of Equilateral Triangle=Perimeter of Equilateral Triangle/(3*sqrt(3))

Can the Circumradius of Equilateral Triangle given Area be negative?

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

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

Circumradius of Equilateral Triangle 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 Equilateral Triangle given Area can be measured.

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