Circumradius of Equilateral Triangle given Median Calculator

✖The Median of Equilateral Triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side.ⓘ Median of Equilateral Triangle [M]

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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 Median [r_c]

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Circumradius of Equilateral Triangle given Median Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Equilateral Triangle = 2/3*Median of Equilateral Triangle
r_c = 2/3*M
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.
Median of Equilateral Triangle - (Measured in Meter) - The Median of Equilateral Triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side.

STEP 1: Convert Input(s) to Base Unit

Median of Equilateral Triangle: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = 2/3*M --> 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 00.020 seconds)

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Osmania University (OU), Hyderabad

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< Circumradius of Equilateral Triangle Calculators

Circumradius of Equilateral Triangle given Area

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

Circumradius of Equilateral Triangle given Perimeter

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

Circumradius of Equilateral Triangle

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

Circumradius of Equilateral Triangle given Height

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

Circumradius of Equilateral Triangle given Median Formula

LaTeX Go

Circumradius of Equilateral Triangle = 2/3*Median of Equilateral Triangle
r_c = 2/3*M

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 Median?

Circumradius of Equilateral Triangle given Median calculator uses Circumradius of Equilateral Triangle = 2/3*Median of Equilateral Triangle to calculate the Circumradius of Equilateral Triangle, The Circumradius of Equilateral Triangle given Median formula is defined as the radius of the circle circumscribing the Equilateral Triangle, calculated using median. Circumradius of Equilateral Triangle is denoted by r_c symbol.

How to calculate Circumradius of Equilateral Triangle given Median using this online calculator? To use this online calculator for Circumradius of Equilateral Triangle given Median, enter Median of Equilateral Triangle (M) and hit the calculate button. Here is how the Circumradius of Equilateral Triangle given Median calculation can be explained with given input values -> 4.666667 = 2/3*7.

FAQ

What is Circumradius of Equilateral Triangle given Median?

The Circumradius of Equilateral Triangle given Median formula is defined as the radius of the circle circumscribing the Equilateral Triangle, calculated using median and is represented as r_c = 2/3*M or Circumradius of Equilateral Triangle = 2/3*Median of Equilateral Triangle. The Median of Equilateral Triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side.

How to calculate Circumradius of Equilateral Triangle given Median?

The Circumradius of Equilateral Triangle given Median formula is defined as the radius of the circle circumscribing the Equilateral Triangle, calculated using median is calculated using Circumradius of Equilateral Triangle = 2/3*Median of Equilateral Triangle. To calculate Circumradius of Equilateral Triangle given Median, you need Median of Equilateral Triangle (M). With our tool, you need to enter the respective value for Median 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 Median of Equilateral Triangle. We can use 3 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)))

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