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Exradius of Equilateral Triangle given Circumradius Formula

GoExradius of Equilateral Triangle Formula

GoExradius of Equilateral Triangle given Area Formula

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

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

r_e - Exradius of Equilateral Triangle?r_c - Circumradius of Equilateral Triangle?

Exradius of Equilateral Triangle given Circumradius Example

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

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

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

7.5 = \frac{3}{2} \cdot 5

7.5m = \frac{3}{2} \cdot 5m

7.5 = \frac{3}{2} \cdot 5

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Exradius of Equilateral Triangle given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r e = \frac{3}{2} \cdot 5m

Next Step Prepare to Evaluate

∴

r e = \frac{3}{2} \cdot 5

LAST Step Evaluate

∴

r e = 7.5m

Exradius of Equilateral Triangle given Circumradius Formula Elements

Variables

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

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 Exradius of Equilateral Triangle

Go Exradius of Equilateral Triangle

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

Go Exradius of Equilateral Triangle given Area

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

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}}

How to Evaluate Exradius of Equilateral Triangle given Circumradius?

Exradius of Equilateral Triangle given Circumradius evaluator uses Exradius of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle to evaluate the Exradius of Equilateral Triangle, The Exradius of Equilateral Triangle given Circumradius formula is defined as the radius of an escribed circle of the Equilateral Triangle, calculated using circumradius. Exradius of Equilateral Triangle is denoted by r_e symbol.

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

FAQs on Exradius of Equilateral Triangle given Circumradius

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

The formula of Exradius of Equilateral Triangle given Circumradius is expressed as Exradius of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle. Here is an example- 7.5 = 3/2*5.

How to calculate Exradius of Equilateral Triangle given Circumradius?

With Circumradius of Equilateral Triangle (r_c) we can find Exradius of Equilateral Triangle given Circumradius using the formula - Exradius of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle.

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=sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/(sqrt(3)))
Exradius of Equilateral Triangle=Height of Equilateral Triangle/1

Can the Exradius of Equilateral Triangle given Circumradius be negative?

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

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

Exradius 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 Exradius of Equilateral Triangle given Circumradius can be measured.

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