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Inradius of Equilateral Triangle given Circumradius 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}{2} \cdot r c

r_i - Inradius of Equilateral Triangle?r_c - Circumradius of Equilateral Triangle?

Inradius of Equilateral Triangle given Circumradius Example

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

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

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

2.5 = \frac{1}{2} \cdot 5

2.5m = \frac{1}{2} \cdot 5m

2.5 = \frac{1}{2} \cdot 5

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Inradius of Equilateral Triangle given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = \frac{1}{2} \cdot 5m

Next Step Prepare to Evaluate

∴

r i = \frac{1}{2} \cdot 5

LAST Step Evaluate

∴

r i = 2.5m

Inradius of Equilateral Triangle given Circumradius 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

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

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 Circumradius?

Inradius of Equilateral Triangle given Circumradius evaluator uses Inradius of Equilateral Triangle = 1/2*Circumradius of Equilateral Triangle to evaluate the Inradius of Equilateral Triangle, The Inradius of Equilateral Triangle given Circumradius 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 circumradius. Inradius of Equilateral Triangle is denoted by r_i symbol.

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

FAQs on Inradius of Equilateral Triangle given Circumradius

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

The formula of Inradius of Equilateral Triangle given Circumradius is expressed as Inradius of Equilateral Triangle = 1/2*Circumradius of Equilateral Triangle. Here is an example- 2.5 = 1/2*5.

How to calculate Inradius of Equilateral Triangle given Circumradius?

With Circumradius of Equilateral Triangle (r_c) we can find Inradius of Equilateral Triangle given Circumradius using the formula - Inradius of Equilateral Triangle = 1/2*Circumradius 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 Circumradius be negative?

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

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

Inradius of Equilateral Triangle given Circumradius 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 Circumradius can be measured.

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