A pie chart shows how a student spends $24$ hours of the day: Sleep $8$ h, School $6$ h, Study $4$ h, Play…

A pie chart shows how a student spends $24$ hours of the day: Sleep $8$ h, School $6$ h, Study $4$ h, Play $2$ h, Others $4$ h. The sector angle for Sleep is:
  1. $90^\circ$
  2. $100^\circ$
  3. $120^\circ$
  4. $150^\circ$

Solution

Sleep is $8/24$ of the day. Angle $= (8/24)\times 360^\circ = 120^\circ$.

Asked in: IMO

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