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    Aditya spends his time during a day as shown below : If this data is shown in a pie chart, what will be the difference in the central angles r
    Question

    Aditya spends his time during a day as shown below :

    If this data is shown in a pie chart, what will be the difference in the central angles related to sleep and play ?

    A.

    60°

    B.

    75°

    C.

    80°

    D.

    90°

    Correct option is B

    To determine the difference in the central angles related to sleep and play, we first need to calculate the central angles for each activity. The central angle for each activity is proportional to the time spent on that activity.
    Total time = 24 hours
    Sleep: 7 hours * (360°/24 hours) = 105°
    School: 6 hours * (360°/24 hours) = 90°
    Play: 2 hours * (360°/24 hours) = 30°
    Watching TV: 2 hours * (360°/24 hours) = 30°
    Others: 7 hours * (360°/24 hours) = 105°
    Now, we can calculate the difference in the central angles related to sleep and play:
    Difference = Central angle for sleep - Central angle for play
    = 105° - 30°
    = 75°
    Therefore, the difference in the central angles related to sleep and play is 75°.

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