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5 October, 10:17

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.

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  1. 5 October, 10:40
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    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
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