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Inradius of Equilateral Triangle given Area Formula

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GoInradius of Equilateral Triangle given Height Formula

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

r i = \sqrt{\frac{A}{3 \cdot \sqrt{3}}}

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

Inradius of Equilateral Triangle given Area Example

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

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

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

2.4028 = \sqrt{\frac{30}{3 \cdot \sqrt{3}}}

2.4028m = \sqrt{\frac{30m²}{3 \cdot \sqrt{3}}}

2.4028 = \sqrt{\frac{30}{3 \cdot \sqrt{3}}}

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Inradius of Equilateral Triangle given Area Solution

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

FIRST Step Consider the formula

r i = \sqrt{\frac{A}{3 \cdot \sqrt{3}}}

Next Step Substitute values of Variables

∴

r i = \sqrt{\frac{30m²}{3 \cdot \sqrt{3}}}

Next Step Prepare to Evaluate

∴

r i = \sqrt{\frac{30}{3 \cdot \sqrt{3}}}

Next Step Evaluate

∴

r i = 2.40281141413475m

LAST Step Rounding Answer

∴

r i = 2.4028m

Inradius of Equilateral Triangle given Area Formula Elements

Variables

Functions

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

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 Inradius of Equilateral Triangle

Go Inradius of Equilateral Triangle

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

Go Inradius of Equilateral Triangle given Height

r i = \frac{h}{3}

Go Inradius of Equilateral Triangle given Perimeter

r i = \frac{P}{6 \cdot \sqrt{3}}

Go Inradius of Equilateral Triangle given Circumradius

r i = \frac{1}{2} \cdot r c

How to Evaluate Inradius of Equilateral Triangle given Area?

Inradius of Equilateral Triangle given Area evaluator uses Inradius of Equilateral Triangle = sqrt((Area of Equilateral Triangle)/(3*sqrt(3))) to evaluate the Inradius of Equilateral Triangle, The Inradius of Equilateral Triangle given Area formula is defined as the length of the radius of the largest circle contained in the triangle and touches (is tangent to) all the three sides of equilateral triangle, calculated using area. Inradius of Equilateral Triangle is denoted by r_i symbol.

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

FAQs on Inradius of Equilateral Triangle given Area

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

The formula of Inradius of Equilateral Triangle given Area is expressed as Inradius of Equilateral Triangle = sqrt((Area of Equilateral Triangle)/(3*sqrt(3))). Here is an example- 2.402811 = sqrt((30)/(3*sqrt(3))).

How to calculate Inradius of Equilateral Triangle given Area?

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

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

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

Inradius of Equilateral Triangle=Edge Length of Equilateral Triangle/(2*sqrt(3))
Inradius of Equilateral Triangle=Height of Equilateral Triangle/3
Inradius of Equilateral Triangle=Perimeter of Equilateral Triangle/(6*sqrt(3))

Can the Inradius of Equilateral Triangle given Area be negative?

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

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

Inradius 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 Inradius of Equilateral Triangle given Area can be measured.

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