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Circumradius / inradius of an Equilateral Triangle
R = a/√3, r = a/(2√3)
Where: R = Circumradius / inradius, a = side
Use the same units for all lengths (e.g. all in cm); areas come out in cm², volumes in cm³.
Solved example
Given: a = 7
Find: R (Circumradius / inradius)
- Formula: R = √(3)·a/3
- Substitute the values: R = √(3)·7/3
- Result: R = 4.041452
Answer: R = 4.041452
Calculator
How to calculate Circumradius / inradius of an Equilateral Triangle
- Write down the formula: R = a/√3, r = a/(2√3).
- Note the known values (a).
- Substitute them and simplify to find R.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Circumradius / inradius of an Equilateral Triangle?
The formula is R = a/√3, r = a/(2√3), where R = Circumradius / inradius, a = side.
What is Circumradius / inradius of an Equilateral Triangle when a = 7?
R = 4.041452. Substitute the values into R = a/√3, r = a/(2√3) and simplify.