Area of Equilateral Triangle given Circumradius Calculator

✖The Circumradius of Equilateral Triangle is the radius of a circumcircle touching each of the Equilateral Triangle's vertices.ⓘ Circumradius of Equilateral Triangle [r_c]

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

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Area of Equilateral Triangle given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Equilateral Triangle = (3*sqrt(3))/4*Circumradius of Equilateral Triangle^2
A = (3*sqrt(3))/4*r_c^2
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

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.
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

A = (3*sqrt(3))/4*r_c^2 --> (3*sqrt(3))/4*5^2

Evaluating ... ...

A = 32.4759526419165

STEP 3: Convert Result to Output's Unit

32.4759526419165 Square Meter --> No Conversion Required

FINAL ANSWER

32.4759526419165 ≈ 32.47595 Square Meter <-- Area of Equilateral Triangle

(Calculation completed in 00.004 seconds)

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< Area of Equilateral Triangle Calculators

Area of Equilateral Triangle given Circumradius

LaTeX Go Area of Equilateral Triangle = (3*sqrt(3))/4*Circumradius of Equilateral Triangle^2

Area of Equilateral Triangle given Perimeter

LaTeX Go Area of Equilateral Triangle = Perimeter of Equilateral Triangle^2/(12*sqrt(3))

Area of Equilateral Triangle

LaTeX Go Area of Equilateral Triangle = sqrt(3)/4*Edge Length of Equilateral Triangle^2

Area of Equilateral Triangle given Height

LaTeX Go Area of Equilateral Triangle = (Height of Equilateral Triangle^2)/(sqrt(3))

Area of Equilateral Triangle given Circumradius Formula

LaTeX Go

Area of Equilateral Triangle = (3*sqrt(3))/4*Circumradius of Equilateral Triangle^2
A = (3*sqrt(3))/4*r_c^2

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 area of an Equilateral Triangle and how it is calculated ?

The area of a Triangle is defined as the total region that is enclosed by the three sides of an equilateral triangle. In an equilateral triangle, all three sides are equal in length. Its area is calculated by the formula A = √3a^2 /4 where A is the area of an equilateral triangle and a is the side of an equilateral triangle.

How to Calculate Area of Equilateral Triangle given Circumradius?

Area of Equilateral Triangle given Circumradius calculator uses Area of Equilateral Triangle = (3*sqrt(3))/4*Circumradius of Equilateral Triangle^2 to calculate the Area of Equilateral Triangle, The Area of Equilateral Triangle given Circumradius formula is defined as the total region that is enclosed by the three sides of an equilateral triangle, calculated using the circumradius. Area of Equilateral Triangle is denoted by A symbol.

How to calculate Area of Equilateral Triangle given Circumradius using this online calculator? To use this online calculator for Area of Equilateral Triangle given Circumradius, enter Circumradius of Equilateral Triangle (r_c) and hit the calculate button. Here is how the Area of Equilateral Triangle given Circumradius calculation can be explained with given input values -> 32.47595 = (3*sqrt(3))/4*5^2.

FAQ

What is Area of Equilateral Triangle given Circumradius?

The Area of Equilateral Triangle given Circumradius formula is defined as the total region that is enclosed by the three sides of an equilateral triangle, calculated using the circumradius and is represented as A = (3*sqrt(3))/4*r_c^2 or Area of Equilateral Triangle = (3*sqrt(3))/4*Circumradius of Equilateral Triangle^2. The Circumradius of Equilateral Triangle is the radius of a circumcircle touching each of the Equilateral Triangle's vertices.

How to calculate Area of Equilateral Triangle given Circumradius?

The Area of Equilateral Triangle given Circumradius formula is defined as the total region that is enclosed by the three sides of an equilateral triangle, calculated using the circumradius is calculated using Area of Equilateral Triangle = (3*sqrt(3))/4*Circumradius of Equilateral Triangle^2. To calculate Area of Equilateral Triangle given Circumradius, you need Circumradius of Equilateral Triangle (r_c). 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 Area of Equilateral Triangle?

In this formula, Area of Equilateral Triangle uses Circumradius of Equilateral Triangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Area of Equilateral Triangle = sqrt(3)/4*Edge Length of Equilateral Triangle^2
Area of Equilateral Triangle = (Height of Equilateral Triangle^2)/(sqrt(3))
Area of Equilateral Triangle = Perimeter of Equilateral Triangle^2/(12*sqrt(3))

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