Exradius of Equilateral Triangle given Circumradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Exradius of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle
re = 3/2*rc
This formula uses 2 Variables
Variables Used
Exradius of Equilateral Triangle - (Measured in Meter) - Exradius of Equilateral Triangle is the radius of the escribed circle of 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
re = 3/2*rc --> 3/2*5
Evaluating ... ...
re = 7.5
STEP 3: Convert Result to Output's Unit
7.5 Meter --> No Conversion Required
FINAL ANSWER
7.5 Meter <-- Exradius of Equilateral Triangle
(Calculation completed in 00.004 seconds)

Credits

Created by Bhavya Mutyala
Osmania University (OU), Hyderabad
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9 Exradius of Equilateral Triangle Calculators

Exradius of Equilateral Triangle given Area
Go Exradius of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/(sqrt(3)))
Exradius of Equilateral Triangle given Semiperimeter
Go Exradius of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(sqrt(3))
Exradius of Equilateral Triangle given Perimeter
Go Exradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(2*sqrt(3))
Exradius of Equilateral Triangle
Go Exradius of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle
Exradius of Equilateral Triangle given Length of Angle Bisector
Go Exradius of Equilateral Triangle = Length of Angle Bisector of Equilateral Triangle/1
Exradius of Equilateral Triangle given Circumradius
Go Exradius of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle
Exradius of Equilateral Triangle given Inradius
Go Exradius of Equilateral Triangle = 3*Inradius of Equilateral Triangle
Exradius of Equilateral Triangle given Height
Go Exradius of Equilateral Triangle = Height of Equilateral Triangle/1
Exradius of Equilateral Triangle given Median
Go Exradius of Equilateral Triangle = Median of Equilateral Triangle/1

Exradius of Equilateral Triangle given Circumradius Formula

Exradius of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle
re = 3/2*rc

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 Exradius of Equilateral Triangle given Circumradius?

Exradius of Equilateral Triangle given Circumradius calculator uses Exradius of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle to calculate the Exradius of Equilateral Triangle, The Exradius of Equilateral Triangle given Circumradius formula is defined as the radius of an escribed circle of the Equilateral Triangle, calculated using circumradius. Exradius of Equilateral Triangle is denoted by re symbol.

How to calculate Exradius of Equilateral Triangle given Circumradius using this online calculator? To use this online calculator for Exradius of Equilateral Triangle given Circumradius, enter Circumradius of Equilateral Triangle (rc) and hit the calculate button. Here is how the Exradius of Equilateral Triangle given Circumradius calculation can be explained with given input values -> 7.5 = 3/2*5.

FAQ

What is Exradius of Equilateral Triangle given Circumradius?
The Exradius of Equilateral Triangle given Circumradius formula is defined as the radius of an escribed circle of the Equilateral Triangle, calculated using circumradius and is represented as re = 3/2*rc or Exradius of Equilateral Triangle = 3/2*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 Exradius of Equilateral Triangle given Circumradius?
The Exradius of Equilateral Triangle given Circumradius formula is defined as the radius of an escribed circle of the Equilateral Triangle, calculated using circumradius is calculated using Exradius of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle. To calculate Exradius of Equilateral Triangle given Circumradius, you need Circumradius of Equilateral Triangle (rc). 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 Exradius of Equilateral Triangle?
In this formula, Exradius of Equilateral Triangle uses Circumradius of Equilateral Triangle. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Exradius of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle
  • Exradius of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/(sqrt(3)))
  • Exradius of Equilateral Triangle = Height of Equilateral Triangle/1
  • Exradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(2*sqrt(3))
  • Exradius of Equilateral Triangle = 3*Inradius of Equilateral Triangle
  • Exradius of Equilateral Triangle = Median of Equilateral Triangle/1
  • Exradius of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(sqrt(3))
  • Exradius of Equilateral Triangle = Length of Angle Bisector of Equilateral Triangle/1
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