Area of Equilateral Triangle given Inradius Calculator

✖The Inradius of Equilateral Triangle is defined as the radius of the circle which is inscribed inside the triangle.ⓘ Inradius of Equilateral Triangle [r_i]

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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 Inradius [A]

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Area of Equilateral Triangle given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Equilateral Triangle = 3*sqrt(3)*Inradius of Equilateral Triangle^2
A = 3*sqrt(3)*r_i^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.
Inradius of Equilateral Triangle - (Measured in Meter) - The Inradius of Equilateral Triangle is defined as the radius of the circle which is inscribed inside the triangle.

STEP 1: Convert Input(s) to Base Unit

Inradius of Equilateral Triangle: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 3*sqrt(3)*r_i^2 --> 3*sqrt(3)*2^2

Evaluating ... ...

A = 20.7846096908265

STEP 3: Convert Result to Output's Unit

20.7846096908265 Square Meter --> No Conversion Required

FINAL ANSWER

20.7846096908265 ≈ 20.78461 Square Meter <-- Area of Equilateral Triangle

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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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 Inradius Formula

LaTeX Go

Area of Equilateral Triangle = 3*sqrt(3)*Inradius of Equilateral Triangle^2
A = 3*sqrt(3)*r_i^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 Inradius?

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

How to calculate Area of Equilateral Triangle given Inradius using this online calculator? To use this online calculator for Area of Equilateral Triangle given Inradius, enter Inradius of Equilateral Triangle (r_i) and hit the calculate button. Here is how the Area of Equilateral Triangle given Inradius calculation can be explained with given input values -> 20.78461 = 3*sqrt(3)*2^2.

FAQ

What is Area of Equilateral Triangle given Inradius?

The Area of Equilateral Triangle given Inradius formula is defined as the total region that is enclosed by the three sides of an equilateral triangle, calculated using the inradius and is represented as A = 3*sqrt(3)*r_i^2 or Area of Equilateral Triangle = 3*sqrt(3)*Inradius of Equilateral Triangle^2. The Inradius of Equilateral Triangle is defined as the radius of the circle which is inscribed inside the triangle.

How to calculate Area of Equilateral Triangle given Inradius?

The Area of Equilateral Triangle given Inradius formula is defined as the total region that is enclosed by the three sides of an equilateral triangle, calculated using the inradius is calculated using Area of Equilateral Triangle = 3*sqrt(3)*Inradius of Equilateral Triangle^2. To calculate Area of Equilateral Triangle given Inradius, you need Inradius of Equilateral Triangle (r_i). With our tool, you need to enter the respective value for Inradius 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 Inradius 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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