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An athlete runs a total distance of 4800...

An athlete runs a total distance of 4800 m around a square field of side 200 m. How many rounds of the field did the athlete take ?

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To solve the problem of how many rounds the athlete took around the square field, we can follow these steps: ### Step 1: Understand the dimensions of the square field. The side of the square field is given as 200 meters. ### Step 2: Calculate the perimeter of the square field. The perimeter (P) of a square is calculated using the formula: \[ P = 4 \times \text{side} \] Substituting the given side length: \[ P = 4 \times 200 \, \text{m} = 800 \, \text{m} \] ### Step 3: Determine the total distance run by the athlete. The total distance run by the athlete is given as 4800 meters. ### Step 4: Calculate the number of rounds. To find the number of rounds, we divide the total distance by the distance covered in one round (which is the perimeter): \[ \text{Number of rounds} = \frac{\text{Total distance}}{\text{Distance per round}} \] Substituting the values: \[ \text{Number of rounds} = \frac{4800 \, \text{m}}{800 \, \text{m}} \] ### Step 5: Perform the division. Calculating the division: \[ \text{Number of rounds} = 6 \] ### Final Answer: The athlete took **6 rounds** around the field. ---
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Knowledge Check

  • An athlete runs along a circular track of radius 14 m with a speed of 11 m s^(-1) then the time taken by the athlete to complete 6 rounds is _______ .

    A
    48 s
    B
    0.8 min
    C
    0.0133 h
    D
    All of the above
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