Ask Question
18 August, 13:51

A triangle has sides that measure 4 units, 6 units, and 7.21 units. What is the area of a circle with a circumference that equals the perimeter of the triangle? Use 3.14 for π, and round your answer to the nearest whole number.

Will give Brainliest

+1
Answers (1)
  1. 18 August, 16:33
    0
    24 units * I used this and it was correct*

    Step-by-step explanation

    1. Add all sides to get the perimeter of the triangle which is also the perimeter / circumference of the circle.

    4 + 6 = 10 ... 10 + 7.21 = 17.21

    2. Now just solve this as an algebraic expression and plug in ...

    C=π (d)

    17.21 = π (d) * cancel out pi*

    17.21/π = π/π (d)

    5.48089172 = d

    3. So now that you have the diameter you divide it by 2 to get the radius ... r = 2.74044586

    4. So now you have all the variables to solve for the area of the circle ...

    A = π (r²)

    A = π (2.74044586²)

    A = π (7.510043511)

    A = 23.58153662

    A = 24 * rounded*

    Note that π = 3.14
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A triangle has sides that measure 4 units, 6 units, and 7.21 units. What is the area of a circle with a circumference that equals the ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers