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Inradius (Properties of a triangle)
r = Δ / s = 4R sin(A/2) sin(B/2) sin(C/2)
Where: Δ = area of triangle, r = radius, s = semi-perimeter / arc length
Solved example
Given: Delta = 7, s = 5
Find: r (radius)
- Formula: r = Δ/s
- Substitute the values: r = 7/5
- Result: r = 1.4
Answer: r = 1.4
Calculator
How to calculate Inradius (Properties of a triangle)
- Write down the formula: r = Δ / s = 4R sin(A/2) sin(B/2) sin(C/2).
- Note the known values (Δ, s).
- Substitute them and simplify to find r.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Inradius (Properties of a triangle)?
The formula is r = Δ / s = 4R sin(A/2) sin(B/2) sin(C/2), where Δ = area of triangle, r = radius, s = semi-perimeter / arc length.
What is Inradius (Properties of a triangle) when Delta = 7, s = 5?
r = 1.4. Substitute the values into r = Δ / s = 4R sin(A/2) sin(B/2) sin(C/2) and simplify.