Question

Malia is placing a barrier around the edge of a circular path with a diameter of 13 meters. The barriers are in lengths of 2.5 meters. What is the best approximation of how many pieces of barrier Malia will need? Use 3.14 to approximate for π .

Answer 1

Answer: 17 is the answer

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Answer 2

we need some barriers such that total of length of all barriers should equal to the circumference of the circle.

so lets assume we need x barriers

then total length of all barriers = 2.5x meter

now radius of circular path = diameter / 2= 13/2 = 6.5 meter

circumference of path = 2× pi × r = 2 × 3.14 × 6.5

=40.82 meter

so now as per statement

2.5x = 40.82

x = 40.82/2.5 = 16.328 ≈ 17

so approximately 17 barriers are required