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Circumradius of Equilateral Triangle given Length of Angle Bisector 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 l Angle Bisector

r_c - Circumradius of Equilateral Triangle?l_{Angle Bisector} - Length of Angle Bisector of Equilateral Triangle?

Circumradius of Equilateral Triangle given Length of Angle Bisector Example

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Here is how the Circumradius of Equilateral Triangle given Length of Angle Bisector equation looks like with Values.

Here is how the Circumradius of Equilateral Triangle given Length of Angle Bisector equation looks like with Units.

Here is how the Circumradius of Equilateral Triangle given Length of Angle Bisector 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 Length of Angle Bisector Solution

Follow our step by step solution on how to calculate Circumradius of Equilateral Triangle given Length of Angle Bisector?

FIRST Step Consider the formula

r c = \frac{2}{3} \cdot l Angle Bisector

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 Length of Angle Bisector 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

Length of Angle Bisector of Equilateral Triangle

Length of Angle Bisector of Equilateral Triangle is the length of the straight line from the vertex to its opposite side dividing the vertex angle into two equal parts.

Symbol: l_{Angle Bisector}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Angle Bisector 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 Length of Angle Bisector?

Circumradius of Equilateral Triangle given Length of Angle Bisector evaluator uses Circumradius of Equilateral Triangle = 2/3*Length of Angle Bisector of Equilateral Triangle to evaluate the Circumradius of Equilateral Triangle, The Circumradius of Equilateral Triangle given Length of Angle Bisector formula is defined as the radius of the circle circumscribing the Equilateral Triangle calculated using length of angle bisector. Circumradius of Equilateral Triangle is denoted by r_c symbol.

How to evaluate Circumradius of Equilateral Triangle given Length of Angle Bisector using this online evaluator? To use this online evaluator for Circumradius of Equilateral Triangle given Length of Angle Bisector, enter Length of Angle Bisector of Equilateral Triangle (l_{Angle Bisector}) and hit the calculate button.

FAQs on Circumradius of Equilateral Triangle given Length of Angle Bisector

What is the formula to find Circumradius of Equilateral Triangle given Length of Angle Bisector?

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

How to calculate Circumradius of Equilateral Triangle given Length of Angle Bisector?

With Length of Angle Bisector of Equilateral Triangle (l_{Angle Bisector}) we can find Circumradius of Equilateral Triangle given Length of Angle Bisector using the formula - Circumradius of Equilateral Triangle = 2/3*Length of Angle Bisector 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 Length of Angle Bisector be negative?

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

Which unit is used to measure Circumradius of Equilateral Triangle given Length of Angle Bisector?

Circumradius of Equilateral Triangle given Length of Angle Bisector 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 Length of Angle Bisector can be measured.

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