Edge Length of Equilateral Triangle given Circumradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Equilateral Triangle = sqrt(3)*Circumradius of Equilateral Triangle
le = sqrt(3)*rc
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Edge Length of Equilateral Triangle - (Measured in Meter) - The Edge Length of Equilateral Triangle is the length of one of the sides of the Equilateral Triangle. In an Equilateral Triangle, all three sides are equal.
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.
STEP 1: Convert Input(s) to Base Unit
Circumradius of Equilateral Triangle: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = sqrt(3)*rc --> sqrt(3)*5
Evaluating ... ...
le = 8.66025403784439
STEP 3: Convert Result to Output's Unit
8.66025403784439 Meter --> No Conversion Required
FINAL ANSWER
8.66025403784439 8.660254 Meter <-- Edge Length of Equilateral Triangle
(Calculation completed in 00.004 seconds)

Credits

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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9 Edge Length of Equilateral Triangle Calculators

Edge Length of Equilateral Triangle given Area
Go Edge Length of Equilateral Triangle = sqrt((4*Area of Equilateral Triangle)/(sqrt(3)))
Edge Length of Equilateral Triangle given Length of Angle Bisector
Go Edge Length of Equilateral Triangle = (2*Length of Angle Bisector of Equilateral Triangle)/sqrt(3)
Edge Length of Equilateral Triangle given Exradius
Go Edge Length of Equilateral Triangle = (2*Exradius of Equilateral Triangle)/(sqrt(3))
Edge Length of Equilateral Triangle given Circumradius
Go Edge Length of Equilateral Triangle = sqrt(3)*Circumradius of Equilateral Triangle
Edge Length of Equilateral Triangle given Inradius
Go Edge Length of Equilateral Triangle = 2*sqrt(3)*Inradius of Equilateral Triangle
Edge Length of Equilateral Triangle given Height
Go Edge Length of Equilateral Triangle = (2*Height of Equilateral Triangle)/sqrt(3)
Edge Length of Equilateral Triangle given Median
Go Edge Length of Equilateral Triangle = (2*Median of Equilateral Triangle)/sqrt(3)
Edge Length of Equilateral Triangle given Semiperimeter
Go Edge Length of Equilateral Triangle = (2*Semiperimeter of Equilateral Triangle)/3
Edge Length of Equilateral Triangle given Perimeter
Go Edge Length of Equilateral Triangle = Perimeter of Equilateral Triangle/3

13 Important Formulas of Equilateral Triangle Calculators

Length of Angle Bisector of Equilateral Triangle
Go Length of Angle Bisector of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle
Semiperimeter of Equilateral Triangle given Circumradius
Go Semiperimeter of Equilateral Triangle = (3*sqrt(3))/2*Circumradius of Equilateral Triangle
Edge Length of Equilateral Triangle given Circumradius
Go Edge Length of Equilateral Triangle = sqrt(3)*Circumradius of Equilateral Triangle
Circumradius of Equilateral Triangle
Go Circumradius of Equilateral Triangle = Edge Length of Equilateral Triangle/sqrt(3)
Inradius of Equilateral Triangle
Go Inradius of Equilateral Triangle = Edge Length of Equilateral Triangle/(2*sqrt(3))
Edge Length of Equilateral Triangle given Height
Go Edge Length of Equilateral Triangle = (2*Height of Equilateral Triangle)/sqrt(3)
Exradius of Equilateral Triangle
Go Exradius of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle
Median of Equilateral Triangle
Go Median of Equilateral Triangle = (sqrt(3)*Edge Length of Equilateral Triangle)/2
Height of Equilateral Triangle
Go Height of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle
Area of Equilateral Triangle
Go Area of Equilateral Triangle = sqrt(3)/4*Edge Length of Equilateral Triangle^2
Semiperimeter of Equilateral Triangle
Go Semiperimeter of Equilateral Triangle = (3*Edge Length of Equilateral Triangle)/2
Perimeter of Equilateral Triangle
Go Perimeter of Equilateral Triangle = 3*Edge Length of Equilateral Triangle
Height of Equilateral Triangle given Inradius
Go Height of Equilateral Triangle = 3*Inradius of Equilateral Triangle

Edge Length of Equilateral Triangle given Circumradius Formula

Edge Length of Equilateral Triangle = sqrt(3)*Circumradius of Equilateral Triangle
le = sqrt(3)*rc

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°.

What is Circumcircle?

The Circumscribed circle or circumcircle of an equilateral triangle is a circle that passes through all the vertices of the equilateral triangle. The center of this circle is called the circumcenter and its radius is called circumradius.

How to Calculate Edge Length of Equilateral Triangle given Circumradius?

Edge Length of Equilateral Triangle given Circumradius calculator uses Edge Length of Equilateral Triangle = sqrt(3)*Circumradius of Equilateral Triangle to calculate the Edge Length of Equilateral Triangle, The Edge Length of Equilateral Triangle given Circumradius formula is defined as the length of the side of the Equilateral triangle, calculated using the circumradius. Edge Length of Equilateral Triangle is denoted by le symbol.

How to calculate Edge Length of Equilateral Triangle given Circumradius using this online calculator? To use this online calculator for Edge Length of Equilateral Triangle given Circumradius, enter Circumradius of Equilateral Triangle (rc) and hit the calculate button. Here is how the Edge Length of Equilateral Triangle given Circumradius calculation can be explained with given input values -> 8.660254 = sqrt(3)*5.

FAQ

What is Edge Length of Equilateral Triangle given Circumradius?
The Edge Length of Equilateral Triangle given Circumradius formula is defined as the length of the side of the Equilateral triangle, calculated using the circumradius and is represented as le = sqrt(3)*rc or Edge Length of Equilateral Triangle = sqrt(3)*Circumradius of Equilateral Triangle. The Circumradius of Equilateral Triangle is the radius of a circumcircle touching each of the Equilateral Triangle's vertices.
How to calculate Edge Length of Equilateral Triangle given Circumradius?
The Edge Length of Equilateral Triangle given Circumradius formula is defined as the length of the side of the Equilateral triangle, calculated using the circumradius is calculated using Edge Length of Equilateral Triangle = sqrt(3)*Circumradius of Equilateral Triangle. To calculate Edge Length of Equilateral Triangle given Circumradius, you need Circumradius of Equilateral Triangle (rc). With our tool, you need to enter the respective value for Circumradius 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 Edge Length of Equilateral Triangle?
In this formula, Edge Length of Equilateral Triangle uses Circumradius of Equilateral Triangle. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Edge Length of Equilateral Triangle = (2*Height of Equilateral Triangle)/sqrt(3)
  • Edge Length of Equilateral Triangle = (2*Length of Angle Bisector of Equilateral Triangle)/sqrt(3)
  • Edge Length of Equilateral Triangle = Perimeter of Equilateral Triangle/3
  • Edge Length of Equilateral Triangle = (2*Semiperimeter of Equilateral Triangle)/3
  • Edge Length of Equilateral Triangle = (2*Exradius of Equilateral Triangle)/(sqrt(3))
  • Edge Length of Equilateral Triangle = 2*sqrt(3)*Inradius of Equilateral Triangle
  • Edge Length of Equilateral Triangle = (2*Median of Equilateral Triangle)/sqrt(3)
  • Edge Length of Equilateral Triangle = sqrt((4*Area of Equilateral Triangle)/(sqrt(3)))
  • Edge Length of Equilateral Triangle = (2*Height of Equilateral Triangle)/sqrt(3)
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