Inradius of Equilateral Triangle given Semiperimeter Calculator

✖The Semiperimeter of Equilateral triangle is half of the sum of the length of all sides of the triangle.ⓘ Semiperimeter of Equilateral Triangle [s]

+10%

-10%

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

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Equilateral Triangle Formula PDF PDF Image

Inradius of Equilateral Triangle given Semiperimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(3*sqrt(3))
r_i = s/(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

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.
Semiperimeter of Equilateral Triangle - (Measured in Meter) - The Semiperimeter of Equilateral triangle is half of the sum of the length of all sides of the triangle.

STEP 1: Convert Input(s) to Base Unit

Semiperimeter of Equilateral Triangle: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = s/(3*sqrt(3)) --> 12/(3*sqrt(3))

Evaluating ... ...

r_i = 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 00.005 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Triangle » Equilateral Triangle » Radius of Equilateral Triangle » Inradius of Equilateral Triangle » Inradius of Equilateral Triangle given Semiperimeter

Credits

Created by Bhavya Mutyala

Osmania University (OU), Hyderabad

Bhavya Mutyala has created this Calculator and 200+ more calculators!

Verified by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has verified this Calculator and 1500+ more calculators!

< Inradius of Equilateral Triangle Calculators

Inradius of Equilateral Triangle given Area

LaTeX Go Inradius of Equilateral Triangle = sqrt((Area of Equilateral Triangle)/(3*sqrt(3)))

Inradius of Equilateral Triangle

LaTeX Go Inradius of Equilateral Triangle = Edge Length of Equilateral Triangle/(2*sqrt(3))

Inradius of Equilateral Triangle given Perimeter

LaTeX Go Inradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(6*sqrt(3))

Inradius of Equilateral Triangle given Height

LaTeX Go Inradius of Equilateral Triangle = Height of Equilateral Triangle/3

Inradius of Equilateral Triangle given Semiperimeter Formula

LaTeX Go

Inradius of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(3*sqrt(3))
r_i = s/(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 Inradius of Equilateral Triangle given Semiperimeter?

Inradius of Equilateral Triangle given Semiperimeter calculator uses Inradius of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(3*sqrt(3)) to calculate the Inradius of Equilateral Triangle, The Inradius of Equilateral Triangle given Semiperimeter formula is defined as the length of the radius of the largest circle contained in the triangle and touches (is tangent to) all the three sides of equilateral triangle, calculated using semiperimeter. Inradius of Equilateral Triangle is denoted by r_i symbol.

How to calculate Inradius of Equilateral Triangle given Semiperimeter using this online calculator? To use this online calculator for Inradius of Equilateral Triangle given Semiperimeter, enter Semiperimeter of Equilateral Triangle (s) and hit the calculate button. Here is how the Inradius of Equilateral Triangle given Semiperimeter calculation can be explained with given input values -> 2.309401 = 12/(3*sqrt(3)).

FAQ

What is Inradius of Equilateral Triangle given Semiperimeter?

The Inradius of Equilateral Triangle given Semiperimeter formula is defined as the length of the radius of the largest circle contained in the triangle and touches (is tangent to) all the three sides of equilateral triangle, calculated using semiperimeter and is represented as r_i = s/(3*sqrt(3)) or Inradius of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(3*sqrt(3)). The Semiperimeter of Equilateral triangle is half of the sum of the length of all sides of the triangle.

How to calculate Inradius of Equilateral Triangle given Semiperimeter?

The Inradius of Equilateral Triangle given Semiperimeter formula is defined as the length of the radius of the largest circle contained in the triangle and touches (is tangent to) all the three sides of equilateral triangle, calculated using semiperimeter is calculated using Inradius of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(3*sqrt(3)). To calculate Inradius of Equilateral Triangle given Semiperimeter, you need Semiperimeter of Equilateral Triangle (s). With our tool, you need to enter the respective value for Semiperimeter 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 Semiperimeter of Equilateral Triangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Inradius of Equilateral Triangle = Edge Length of Equilateral Triangle/(2*sqrt(3))
Inradius of Equilateral Triangle = Height of Equilateral Triangle/3
Inradius of Equilateral Triangle = sqrt((Area of Equilateral Triangle)/(3*sqrt(3)))

Home

FREE PDFs

🔍 Search