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Exradius of Equilateral Triangle given Area Formula

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GoExradius of Equilateral Triangle given Height Formula

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

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

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

Exradius of Equilateral Triangle given Area Example

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

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

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

7.2084 = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{4 \cdot 30}{\sqrt{3}}}

7.2084m = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{4 \cdot 30m²}{\sqrt{3}}}

7.2084 = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{4 \cdot 30}{\sqrt{3}}}

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Exradius of Equilateral Triangle given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r e = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{4 \cdot 30m²}{\sqrt{3}}}

Next Step Prepare to Evaluate

∴

r e = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{4 \cdot 30}{\sqrt{3}}}

Next Step Evaluate

∴

r e = 7.20843424240426m

LAST Step Rounding Answer

∴

r e = 7.2084m

Exradius of Equilateral Triangle given Area Formula Elements

Variables

Functions

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

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 Exradius of Equilateral Triangle

Go Exradius of Equilateral Triangle

r e = \frac{\sqrt{3}}{2} \cdot l e

Go Exradius of Equilateral Triangle given Height

r e = \frac{h}{1}

Go Exradius of Equilateral Triangle given Perimeter

r e = \frac{P}{2 \cdot \sqrt{3}}

Go Exradius of Equilateral Triangle given Circumradius

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

How to Evaluate Exradius of Equilateral Triangle given Area?

Exradius of Equilateral Triangle given Area evaluator uses Exradius of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/(sqrt(3))) to evaluate the Exradius of Equilateral Triangle, The Exradius of Equilateral Triangle given Area formula is defined as the radius of an escribed circle of the equilateral triangle, calculated using area. Exradius of Equilateral Triangle is denoted by r_e symbol.

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

FAQs on Exradius of Equilateral Triangle given Area

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

The formula of Exradius of Equilateral Triangle given Area is expressed as Exradius of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/(sqrt(3))). Here is an example- 7.208434 = sqrt(3)/2*sqrt((4*30)/(sqrt(3))).

How to calculate Exradius of Equilateral Triangle given Area?

With Area of Equilateral Triangle (A) we can find Exradius of Equilateral Triangle given Area using the formula - Exradius of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/(sqrt(3))). This formula also uses Square Root (sqrt) function(s).

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

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

Exradius of Equilateral Triangle=sqrt(3)/2*Edge Length of Equilateral Triangle
Exradius of Equilateral Triangle=Height of Equilateral Triangle/1
Exradius of Equilateral Triangle=Perimeter of Equilateral Triangle/(2*sqrt(3))

Can the Exradius of Equilateral Triangle given Area be negative?

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

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

Exradius 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 Exradius of Equilateral Triangle given Area can be measured.

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