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

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Inradius of Equilateral Triangle given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Equilateral Triangle = 1/2*Circumradius of Equilateral Triangle
r_i = 1/2*r_c
This formula uses 2 Variables

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.
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

r_i = 1/2*r_c --> 1/2*5

Evaluating ... ...

r_i = 2.5

STEP 3: Convert Result to Output's Unit

2.5 Meter --> No Conversion Required

FINAL ANSWER

2.5 Meter <-- Inradius of Equilateral Triangle

(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad

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< 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 Circumradius Formula

LaTeX Go

Inradius of Equilateral Triangle = 1/2*Circumradius of Equilateral Triangle
r_i = 1/2*r_c

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 Circumradius?

Inradius of Equilateral Triangle given Circumradius calculator uses Inradius of Equilateral Triangle = 1/2*Circumradius of Equilateral Triangle to calculate the Inradius of Equilateral Triangle, The Inradius of Equilateral Triangle given Circumradius 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 circumradius. Inradius of Equilateral Triangle is denoted by r_i symbol.

How to calculate Inradius of Equilateral Triangle given Circumradius using this online calculator? To use this online calculator for Inradius of Equilateral Triangle given Circumradius, enter Circumradius of Equilateral Triangle (r_c) and hit the calculate button. Here is how the Inradius of Equilateral Triangle given Circumradius calculation can be explained with given input values -> 2.5 = 1/2*5.

FAQ

What is Inradius of Equilateral Triangle given Circumradius?

The Inradius of Equilateral Triangle given Circumradius 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 circumradius and is represented as r_i = 1/2*r_c or Inradius of Equilateral Triangle = 1/2*Circumradius of Equilateral Triangle. The Circumradius of Equilateral Triangle is the radius of a circumcircle touching each of the Equilateral Triangle's vertices.

How to calculate Inradius of Equilateral Triangle given Circumradius?

The Inradius of Equilateral Triangle given Circumradius 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 circumradius is calculated using Inradius of Equilateral Triangle = 1/2*Circumradius of Equilateral Triangle. To calculate Inradius 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 Inradius of Equilateral Triangle?

In this formula, Inradius of Equilateral Triangle uses Circumradius 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)))

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