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Inradius of Equilateral Triangle given Exradius Formula

GoInradius of Equilateral Triangle Formula

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 = \frac{1}{3} \cdot r e

r_i - Inradius of Equilateral Triangle?r_e - Exradius of Equilateral Triangle?

Inradius of Equilateral Triangle given Exradius Example

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

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

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

2.3333 = \frac{1}{3} \cdot 7

2.3333m = \frac{1}{3} \cdot 7m

2.3333 = \frac{1}{3} \cdot 7

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Inradius of Equilateral Triangle given Exradius Solution

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

FIRST Step Consider the formula

r i = \frac{1}{3} \cdot r e

Next Step Substitute values of Variables

∴

r i = \frac{1}{3} \cdot 7m

Next Step Prepare to Evaluate

∴

r i = \frac{1}{3} \cdot 7

Next Step Evaluate

∴

r i = 2.33333333333333m

LAST Step Rounding Answer

∴

r i = 2.3333m

Inradius of Equilateral Triangle given Exradius Formula Elements

Variables

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

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

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 Area

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

Go Inradius of Equilateral Triangle given Perimeter

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

How to Evaluate Inradius of Equilateral Triangle given Exradius?

Inradius of Equilateral Triangle given Exradius evaluator uses Inradius of Equilateral Triangle = 1/3*Exradius of Equilateral Triangle to evaluate the Inradius of Equilateral Triangle, The Inradius of Equilateral Triangle given Exradius formula is defined as the length of the radius of the largest circle contained in the triangle and touches (is tangent to) all three sides of Equilateral Triangle, calculated using the exradius. Inradius of Equilateral Triangle is denoted by r_i symbol.

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

FAQs on Inradius of Equilateral Triangle given Exradius

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

The formula of Inradius of Equilateral Triangle given Exradius is expressed as Inradius of Equilateral Triangle = 1/3*Exradius of Equilateral Triangle. Here is an example- 2.333333 = 1/3*7.

How to calculate Inradius of Equilateral Triangle given Exradius?

With Exradius of Equilateral Triangle (r_e) we can find Inradius of Equilateral Triangle given Exradius using the formula - Inradius of Equilateral Triangle = 1/3*Exradius of Equilateral Triangle.

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=sqrt((Area of Equilateral Triangle)/(3*sqrt(3)))

Can the Inradius of Equilateral Triangle given Exradius be negative?

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

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

Inradius of Equilateral Triangle given Exradius 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 Exradius can be measured.

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