Inradius of Equilateral Triangle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inradius of Equilateral Triangle = Edge Length of Equilateral Triangle/(2*sqrt(3))
ri = le/(2*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
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.
Edge Length of Equilateral Triangle - (Measured in Meter) - The Edge Length of Equilateral Triangle is the length of one of the sides of the Equilateral Triangle. In an Equilateral Triangle, all three sides are equal.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Equilateral Triangle: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ri = le/(2*sqrt(3)) --> 8/(2*sqrt(3))
Evaluating ... ...
ri = 2.3094010767585
STEP 3: Convert Result to Output's Unit
2.3094010767585 Meter --> No Conversion Required
FINAL ANSWER
2.3094010767585 2.309401 Meter <-- Inradius of Equilateral Triangle
(Calculation completed in 00.004 seconds)

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9 Inradius of Equilateral Triangle Calculators

Inradius of Equilateral Triangle given Area
Go Inradius of Equilateral Triangle = sqrt((Area of Equilateral Triangle)/(3*sqrt(3)))
Inradius of Equilateral Triangle given Semiperimeter
Go Inradius of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(3*sqrt(3))
Inradius of Equilateral Triangle
Go Inradius of Equilateral Triangle = Edge Length of Equilateral Triangle/(2*sqrt(3))
Inradius of Equilateral Triangle given Perimeter
Go Inradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(6*sqrt(3))
Inradius of Equilateral Triangle given Length of Angle Bisector
Go Inradius of Equilateral Triangle = 1/3*Length of Angle Bisector of Equilateral Triangle
Inradius of Equilateral Triangle given Circumradius
Go Inradius of Equilateral Triangle = 1/2*Circumradius of Equilateral Triangle
Inradius of Equilateral Triangle given Exradius
Go Inradius of Equilateral Triangle = 1/3*Exradius of Equilateral Triangle
Inradius of Equilateral Triangle given Median
Go Inradius of Equilateral Triangle = 1/3*Median of Equilateral Triangle
Inradius of Equilateral Triangle given Height
Go Inradius of Equilateral Triangle = Height of Equilateral Triangle/3

13 Important Formulas of Equilateral Triangle Calculators

Length of Angle Bisector of Equilateral Triangle
Go Length of Angle Bisector of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle
Semiperimeter of Equilateral Triangle given Circumradius
Go Semiperimeter of Equilateral Triangle = (3*sqrt(3))/2*Circumradius of Equilateral Triangle
Edge Length of Equilateral Triangle given Circumradius
Go Edge Length of Equilateral Triangle = sqrt(3)*Circumradius of Equilateral Triangle
Circumradius of Equilateral Triangle
Go Circumradius of Equilateral Triangle = Edge Length of Equilateral Triangle/sqrt(3)
Inradius of Equilateral Triangle
Go Inradius of Equilateral Triangle = Edge Length of Equilateral Triangle/(2*sqrt(3))
Edge Length of Equilateral Triangle given Height
Go Edge Length of Equilateral Triangle = (2*Height of Equilateral Triangle)/sqrt(3)
Exradius of Equilateral Triangle
Go Exradius of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle
Median of Equilateral Triangle
Go Median of Equilateral Triangle = (sqrt(3)*Edge Length of Equilateral Triangle)/2
Height of Equilateral Triangle
Go Height of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle
Area of Equilateral Triangle
Go Area of Equilateral Triangle = sqrt(3)/4*Edge Length of Equilateral Triangle^2
Semiperimeter of Equilateral Triangle
Go Semiperimeter of Equilateral Triangle = (3*Edge Length of Equilateral Triangle)/2
Perimeter of Equilateral Triangle
Go Perimeter of Equilateral Triangle = 3*Edge Length of Equilateral Triangle
Height of Equilateral Triangle given Inradius
Go Height of Equilateral Triangle = 3*Inradius of Equilateral Triangle

Inradius of Equilateral Triangle Formula

Inradius of Equilateral Triangle = Edge Length of Equilateral Triangle/(2*sqrt(3))
ri = le/(2*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°.

What is inscribed circle and how its radius calculated for an Equilateral triangle ?

The radius of the inscribed circle of an Equilateral triangle is the length of the radius of the circle of a triangle is the largest circle contained in the triangle; it touches (is tangent to) the three sides. In an Equilateral triangle, all three sides are equal and all the angles measure 60 degrees. The radius of the inscribed circle is calculated by the formula R = √3a /6 where R is the radius of the inscribed circle and is the length of the side of an inscribed circle.

How to Calculate Inradius of Equilateral Triangle?

Inradius of Equilateral Triangle calculator uses Inradius of Equilateral Triangle = Edge Length of Equilateral Triangle/(2*sqrt(3)) to calculate the Inradius of Equilateral Triangle, The Inradius of Equilateral Triangle is the length of the radius of the largest circle contained in the triangle; it touches (is tangent to) all the three sides of it. Inradius of Equilateral Triangle is denoted by ri symbol.

How to calculate Inradius of Equilateral Triangle using this online calculator? To use this online calculator for Inradius of Equilateral Triangle, enter Edge Length of Equilateral Triangle (le) and hit the calculate button. Here is how the Inradius of Equilateral Triangle calculation can be explained with given input values -> 2.309401 = 8/(2*sqrt(3)).

FAQ

What is Inradius of Equilateral Triangle?
The Inradius of Equilateral Triangle is the length of the radius of the largest circle contained in the triangle; it touches (is tangent to) all the three sides of it and is represented as ri = le/(2*sqrt(3)) or Inradius of Equilateral Triangle = Edge Length of Equilateral Triangle/(2*sqrt(3)). The Edge Length of Equilateral Triangle is the length of one of the sides of the Equilateral Triangle. In an Equilateral Triangle, all three sides are equal.
How to calculate Inradius of Equilateral Triangle?
The Inradius of Equilateral Triangle is the length of the radius of the largest circle contained in the triangle; it touches (is tangent to) all the three sides of it is calculated using Inradius of Equilateral Triangle = Edge Length of Equilateral Triangle/(2*sqrt(3)). To calculate Inradius of Equilateral Triangle, you need Edge Length of Equilateral Triangle (le). With our tool, you need to enter the respective value for Edge Length 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 Inradius of Equilateral Triangle?
In this formula, Inradius of Equilateral Triangle uses Edge Length of Equilateral Triangle. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Inradius of Equilateral Triangle = Height of Equilateral Triangle/3
  • Inradius of Equilateral Triangle = sqrt((Area of Equilateral Triangle)/(3*sqrt(3)))
  • Inradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(6*sqrt(3))
  • Inradius of Equilateral Triangle = 1/2*Circumradius of Equilateral Triangle
  • Inradius of Equilateral Triangle = 1/3*Exradius of Equilateral Triangle
  • Inradius of Equilateral Triangle = 1/3*Median of Equilateral Triangle
  • Inradius of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(3*sqrt(3))
  • Inradius of Equilateral Triangle = 1/3*Length of Angle Bisector of Equilateral Triangle
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