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An athlete runs 5 times around a circular track with a radius of 7 m. Using pi = 22/7, calculate the total distance the athlete covered.

Mathematics

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Answer

220 m220 \text{ m}

Step-by-step solution

3 steps

  1. Identify the given information.

    The athlete runs 5 times around a circular track.
    The radius of the circular track is r=7 mr = 7 \text{ m}.
    We are given to use π=227\pi = \frac{22}{7}.

  2. Calculate the circumference of the circular track.

    The formula for the circumference of a circle is C=2πrC = 2\pi r.

    C=2×227×7 mC = 2 \times \frac{22}{7} \times 7 \text{ m} C=2×22 mC = 2 \times 22 \text{ m} C=44 mC = 44 \text{ m}

  3. Calculate the total distance covered.

    The athlete runs 5 times around the track, so the total distance is the circumference multiplied by the number of laps.

    Total distance=Number of laps×Circumference\text{Total distance} = \text{Number of laps} \times \text{Circumference} Total distance=5×44 m\text{Total distance} = 5 \times 44 \text{ m} Total distance=220 m\text{Total distance} = 220 \text{ m}

    The total distance covered by the athlete is:

    220 m220 \text{ m}
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