Circumradius of Equilateral Triangle given Length of Angle Bisector Calculator

✖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.ⓘ Length of Angle Bisector of Equilateral Triangle [l_{Angle Bisector}]

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✖The Circumradius of Equilateral Triangle is the radius of a circumcircle touching each of the Equilateral Triangle's vertices.ⓘ Circumradius of Equilateral Triangle given Length of Angle Bisector [r_c]

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Formula

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Circumradius of Equilateral Triangle given Length of Angle Bisector

Formula

`"r"_{"c"} = 2/3*"l"_{"Angle Bisector"}`

Example

`"4.666667m"=2/3*"7m"`

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Circumradius of Equilateral Triangle given Length of Angle Bisector Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Equilateral Triangle = 2/3*Length of Angle Bisector of Equilateral Triangle
r_c = 2/3*l_{Angle Bisector}
This formula uses 2 Variables

Variables Used

Circumradius of Equilateral Triangle - (Measured in Meter) - The Circumradius of Equilateral Triangle is the radius of a circumcircle touching each of the Equilateral Triangle's vertices.
Length of Angle Bisector of Equilateral Triangle - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Length of Angle Bisector of Equilateral Triangle: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = 2/3*l_{Angle Bisector} --> 2/3*7

Evaluating ... ...

r_c = 4.66666666666667

STEP 3: Convert Result to Output's Unit

4.66666666666667 Meter --> No Conversion Required

FINAL ANSWER

4.66666666666667 ≈ 4.666667 Meter <-- Circumradius of Equilateral Triangle

(Calculation completed in 00.004 seconds)

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< 9 Circumradius of Equilateral Triangle Calculators

Circumradius of Equilateral Triangle given Area

Go Circumradius of Equilateral Triangle = sqrt((4*Area of Equilateral Triangle)/(3*sqrt(3)))

Circumradius of Equilateral Triangle given Semiperimeter

Go Circumradius of Equilateral Triangle = (2*Semiperimeter of Equilateral Triangle)/(3*sqrt(3))

Circumradius of Equilateral Triangle given Perimeter

Go Circumradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(3*sqrt(3))

Circumradius of Equilateral Triangle

Go Circumradius of Equilateral Triangle = Edge Length of Equilateral Triangle/sqrt(3)

Circumradius of Equilateral Triangle given Length of Angle Bisector

Go Circumradius of Equilateral Triangle = 2/3*Length of Angle Bisector of Equilateral Triangle

Circumradius of Equilateral Triangle given Exradius

Go Circumradius of Equilateral Triangle = 2/3*Exradius of Equilateral Triangle

Circumradius of Equilateral Triangle given Inradius

Go Circumradius of Equilateral Triangle = 2*Inradius of Equilateral Triangle

Circumradius of Equilateral Triangle given Height

Go Circumradius of Equilateral Triangle = 2/3*Height of Equilateral Triangle

Circumradius of Equilateral Triangle given Median

Go Circumradius of Equilateral Triangle = 2/3*Median of Equilateral Triangle

Circumradius of Equilateral Triangle given Length of Angle Bisector Formula

Circumradius of Equilateral Triangle = 2/3*Length of Angle Bisector of Equilateral Triangle
r_c = 2/3*l_{Angle Bisector}

What is Equilateral Triangle?

In geometry, an Equilateral Triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

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

Circumradius of Equilateral Triangle given Length of Angle Bisector calculator uses Circumradius of Equilateral Triangle = 2/3*Length of Angle Bisector of Equilateral Triangle to calculate 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 calculate Circumradius of Equilateral Triangle given Length of Angle Bisector using this online calculator? To use this online calculator 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. Here is how the Circumradius of Equilateral Triangle given Length of Angle Bisector calculation can be explained with given input values -> 4.666667 = 2/3*7.

FAQ

What is Circumradius of Equilateral Triangle given Length of Angle Bisector?

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 and is represented as r_c = 2/3*l_{Angle Bisector} or Circumradius of Equilateral Triangle = 2/3*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.

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

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 is calculated using Circumradius of Equilateral Triangle = 2/3*Length of Angle Bisector of Equilateral Triangle. To calculate Circumradius of Equilateral Triangle given Length of Angle Bisector, you need Length of Angle Bisector of Equilateral Triangle (l_{Angle Bisector}). With our tool, you need to enter the respective value for Length of Angle Bisector of Equilateral Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Circumradius of Equilateral Triangle?

In this formula, Circumradius of Equilateral Triangle uses Length of Angle Bisector of Equilateral Triangle. We can use 8 other way(s) to calculate the same, which is/are as follows -

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)))
Circumradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(3*sqrt(3))
Circumradius of Equilateral Triangle = 2*Inradius of Equilateral Triangle
Circumradius of Equilateral Triangle = 2/3*Exradius of Equilateral Triangle
Circumradius of Equilateral Triangle = 2/3*Median of Equilateral Triangle
Circumradius of Equilateral Triangle = (2*Semiperimeter of Equilateral Triangle)/(3*sqrt(3))

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