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Circumradius (Properties of a triangle)

R = abc / 4Δ

Where: Δ = area of triangle, R = circumradius, a = side opposite A, b = side opposite B, c = side opposite C

Solved example

Given: Delta = 7, a = 5, b = 10, c = 4
Find: R (circumradius)

  1. Formula: R = a·b·c/(4·Δ)
  2. Substitute the values: R = 10·4·5/(4·7)
  3. Result: R = 7.142857

Answer: R = 7.142857

Calculator

How to calculate Circumradius (Properties of a triangle)

  1. Write down the formula: R = abc / 4Δ.
  2. Note the known values (Δ, a, b, c).
  3. Substitute them and simplify to find R.
  4. Use the calculator above to solve for any letter.

Frequently asked questions

What is the formula for Circumradius (Properties of a triangle)?

The formula is R = abc / 4Δ, where Δ = area of triangle, R = circumradius, a = side opposite A, b = side opposite B, c = side opposite C.

What is Circumradius (Properties of a triangle) when Delta = 7, a = 5, b = 10, c = 4?

R = 7.142857. Substitute the values into R = abc / 4Δ and simplify.

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