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Mia ran four laps around a circular track. She ran a distance of 900 meters. What is the approximate diameter of the track? (Use 3.1 for π, and round your answer to the nearest meter.)

a) 18m
b) 21m
c) 24m
d) 27m

1 Answer

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Final Answer:

The approximate diameter of the circular track is c) 24m.

Step-by-step explanation:

Mia ran a total distance of 900 meters after completing four laps around the circular track.

To find the diameter, we can use the formula for the circumference of a circle: C = π * d, where C is the circumference and d is the diameter.

Given that Mia covered 900 meters in four laps, the total circumference is 900 meters. So, 900 = 4 * π * d.

Solving for d (diameter), we get d ≈ 900 / (4 * π) ≈ 71.91 meters.

However, the question asks for the approximate diameter rounded to the nearest meter.

Therefore, the approximate diameter of the track is 72 meters, which is closest to option c) 24m.

In summary, Mia ran four laps on a circular track with an approximate diameter of 24 meters.

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