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Pretest: Quantitative Reasoning, Algebra, and Statistics
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The diameter of an ancient chariot wheel is 2 meters. What is the approximate distance the chariot travels if the wheel rotates 120 times? Assume the
wheel does not slip.
O A.
1,506.4 meters
O B.
753.6 meters
O c.
376.8 meters
○ D.
240 meters
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Answer :

GinnyAnswer
Sure, let's calculate the distance the chariot travels step by step.

1. Understanding the Problem:
- We know the diameter of the wheel is 2 meters.
- The wheel rotates 120 times.
- We need to find the distance traveled by the chariot if the wheel rotates this many times.

2. Calculate the Circumference of the Wheel:
- The circumference [tex]\( C \)[/tex] of a circle (which the wheel is) is given by the formula:
[tex]\[ C = \pi \times d \][/tex]
where [tex]\( d \)[/tex] is the diameter.

3. Given:
- Diameter ([tex]\( d \)[/tex]) = 2 meters,
- Pi ([tex]\( \pi \)[/tex]) is approximately 3.1416.

4. Substitute the Values:
[tex]\[ C = \pi \times 2 \approx 3.1416 \times 2 = 6.2832 \text{ meters} \][/tex]

5. Calculate the Distance Traveled after 120 Rotations:
- If the wheel rotates 120 times, the total distance traveled [tex]\( D \)[/tex] can be found by multiplying the circumference of the wheel with the number of rotations.
[tex]\[ D = C \times \text{number of rotations} \][/tex]
[tex]\[ D = 6.2832 \times 120 = 753.984 \text{ meters} \][/tex]

6. Approximate the Answer:
- The closest option to 753.984 meters is 753.6 meters.

So, the correct answer is:

B. 753.6 meters

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