Circumradius of Equilateral Triangle given Area Calculator

✖The Area of Equilateral Triangle is the amount of space or region occupied by the Equilateral triangle in the plane.ⓘ Area of Equilateral Triangle [A]

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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 Area [r_c]

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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)))
r_c = 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

r_c = sqrt((4*A)/(3*sqrt(3))) --> sqrt((4*30)/(3*sqrt(3)))

Evaluating ... ...

r_c = 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)

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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 Area Formula

LaTeX Go

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

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