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Circumradius of Equilateral Triangle given Exradius Formula

GoCircumradius of Equilateral Triangle Formula

GoCircumradius of Equilateral Triangle given Height Formula

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The Circumradius of Equilateral Triangle is the radius of a circumcircle touching each of the Equilateral Triangle's vertices. Check FAQs

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

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

Circumradius of Equilateral Triangle given Exradius Example

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

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

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

4.6667 = \frac{2}{3} \cdot 7

4.6667m = \frac{2}{3} \cdot 7m

4.6667 = \frac{2}{3} \cdot 7

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Circumradius of Equilateral Triangle given Exradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{2}{3} \cdot 7m

Next Step Prepare to Evaluate

∴

r c = \frac{2}{3} \cdot 7

Next Step Evaluate

∴

r c = 4.66666666666667m

LAST Step Rounding Answer

∴

r c = 4.6667m

Circumradius of Equilateral Triangle given Exradius Formula Elements

Variables

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

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 Circumradius of Equilateral Triangle

Go Circumradius of Equilateral Triangle

r c = \frac{l e}{\sqrt{3}}

Go Circumradius of Equilateral Triangle given Height

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

Go Circumradius of Equilateral Triangle given Area

r c = \sqrt{\frac{4 \cdot A}{3 \cdot \sqrt{3}}}

Go Circumradius of Equilateral Triangle given Perimeter

r c = \frac{P}{3 \cdot \sqrt{3}}

How to Evaluate Circumradius of Equilateral Triangle given Exradius?

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

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

FAQs on Circumradius of Equilateral Triangle given Exradius

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

The formula of Circumradius of Equilateral Triangle given Exradius is expressed as Circumradius of Equilateral Triangle = 2/3*Exradius of Equilateral Triangle. Here is an example- 4.666667 = 2/3*7.

How to calculate Circumradius of Equilateral Triangle given Exradius?

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

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

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

Circumradius of Equilateral Triangle=Edge Length of Equilateral Triangle/sqrt(3)
Circumradius of Equilateral Triangle=2/3*Height of Equilateral Triangle
Circumradius of Equilateral Triangle=sqrt((4*Area of Equilateral Triangle)/(3*sqrt(3)))

Can the Circumradius of Equilateral Triangle given Exradius be negative?

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

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

Circumradius 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 Circumradius of Equilateral Triangle given Exradius can be measured.

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