Circumradius of Equilateral Triangle given Semiperimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumradius of Equilateral Triangle = (2*Semiperimeter of Equilateral Triangle)/(3*sqrt(3))
rc = (2*s)/(3*sqrt(3))
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
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.
Semiperimeter of Equilateral Triangle - (Measured in Meter) - The Semiperimeter of Equilateral triangle is half of the sum of the length of all sides of the triangle.
STEP 1: Convert Input(s) to Base Unit
Semiperimeter of Equilateral Triangle: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = (2*s)/(3*sqrt(3)) --> (2*12)/(3*sqrt(3))
Evaluating ... ...
rc = 4.61880215351701
STEP 3: Convert Result to Output's Unit
4.61880215351701 Meter --> No Conversion Required
FINAL ANSWER
4.61880215351701 4.618802 Meter <-- Circumradius of Equilateral Triangle
(Calculation completed in 00.004 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 Semiperimeter Formula

​LaTeX ​Go
Circumradius of Equilateral Triangle = (2*Semiperimeter of Equilateral Triangle)/(3*sqrt(3))
rc = (2*s)/(3*sqrt(3))

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 Semiperimeter?

Circumradius of Equilateral Triangle given Semiperimeter calculator uses Circumradius of Equilateral Triangle = (2*Semiperimeter of Equilateral Triangle)/(3*sqrt(3)) to calculate the Circumradius of Equilateral Triangle, The Circumradius of Equilateral Triangle given Semiperimeter formula is defined as the radius of the circle circumscribing the Equilateral Triangle, calculated using semiperimeter. Circumradius of Equilateral Triangle is denoted by rc symbol.

How to calculate Circumradius of Equilateral Triangle given Semiperimeter using this online calculator? To use this online calculator for Circumradius of Equilateral Triangle given Semiperimeter, enter Semiperimeter of Equilateral Triangle (s) and hit the calculate button. Here is how the Circumradius of Equilateral Triangle given Semiperimeter calculation can be explained with given input values -> 4.618802 = (2*12)/(3*sqrt(3)).

FAQ

What is Circumradius of Equilateral Triangle given Semiperimeter?
The Circumradius of Equilateral Triangle given Semiperimeter formula is defined as the radius of the circle circumscribing the Equilateral Triangle, calculated using semiperimeter and is represented as rc = (2*s)/(3*sqrt(3)) or Circumradius of Equilateral Triangle = (2*Semiperimeter of Equilateral Triangle)/(3*sqrt(3)). The Semiperimeter of Equilateral triangle is half of the sum of the length of all sides of the triangle.
How to calculate Circumradius of Equilateral Triangle given Semiperimeter?
The Circumradius of Equilateral Triangle given Semiperimeter formula is defined as the radius of the circle circumscribing the Equilateral Triangle, calculated using semiperimeter is calculated using Circumradius of Equilateral Triangle = (2*Semiperimeter of Equilateral Triangle)/(3*sqrt(3)). To calculate Circumradius of Equilateral Triangle given Semiperimeter, you need Semiperimeter of Equilateral Triangle (s). With our tool, you need to enter the respective value for Semiperimeter 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 Semiperimeter 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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