Circumradius of Equilateral Triangle given Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumradius of Equilateral Triangle = sqrt((4*Area of Equilateral Triangle)/(3*sqrt(3)))
rc = sqrt((4*A)/(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.
Area of Equilateral Triangle - (Measured in Square Meter) - The Area of Equilateral Triangle is the amount of space or region occupied by the Equilateral triangle in the plane.
STEP 1: Convert Input(s) to Base Unit
Area of Equilateral Triangle: 30 Square Meter --> 30 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = sqrt((4*A)/(3*sqrt(3))) --> sqrt((4*30)/(3*sqrt(3)))
Evaluating ... ...
rc = 4.80562282826951
STEP 3: Convert Result to Output's Unit
4.80562282826951 Meter --> No Conversion Required
FINAL ANSWER
4.80562282826951 4.805623 Meter <-- Circumradius of Equilateral Triangle
(Calculation completed in 00.004 seconds)

Credits

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Osmania University (OU), Hyderabad
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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 Area Formula

Circumradius of Equilateral Triangle = sqrt((4*Area of Equilateral Triangle)/(3*sqrt(3)))
rc = sqrt((4*A)/(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 Area?

Circumradius of Equilateral Triangle given Area calculator uses Circumradius of Equilateral Triangle = sqrt((4*Area of Equilateral Triangle)/(3*sqrt(3))) to calculate the Circumradius of Equilateral Triangle, The Circumradius of Equilateral Triangle given Area formula is defined as the radius of the circle circumscribing the Equilateral Triangle, calculated using area. Circumradius of Equilateral Triangle is denoted by rc symbol.

How to calculate Circumradius of Equilateral Triangle given Area using this online calculator? To use this online calculator for Circumradius of Equilateral Triangle given Area, enter Area of Equilateral Triangle (A) and hit the calculate button. Here is how the Circumradius of Equilateral Triangle given Area calculation can be explained with given input values -> 4.805623 = sqrt((4*30)/(3*sqrt(3))).

FAQ

What is Circumradius of Equilateral Triangle given Area?
The Circumradius of Equilateral Triangle given Area formula is defined as the radius of the circle circumscribing the Equilateral Triangle, calculated using area and is represented as rc = sqrt((4*A)/(3*sqrt(3))) or Circumradius of Equilateral Triangle = sqrt((4*Area of Equilateral Triangle)/(3*sqrt(3))). The Area of Equilateral Triangle is the amount of space or region occupied by the Equilateral triangle in the plane.
How to calculate Circumradius of Equilateral Triangle given Area?
The Circumradius of Equilateral Triangle given Area formula is defined as the radius of the circle circumscribing the Equilateral Triangle, calculated using area is calculated using Circumradius of Equilateral Triangle = sqrt((4*Area of Equilateral Triangle)/(3*sqrt(3))). To calculate Circumradius of Equilateral Triangle given Area, you need Area of Equilateral Triangle (A). With our tool, you need to enter the respective value for Area 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 Area 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 = 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))
  • Circumradius of Equilateral Triangle = 2/3*Length of Angle Bisector of Equilateral Triangle
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