This table shows the time spent by Alex on various activities in one day.Activity Time spent in hoursSleeping 8Studying 10Playing 2Watching TV 1Others 3Question promptAlex will draw a pie-chart of the information in the table.What angle is needed for the sector on studying?Question response areaSelect one option 10° 36°150°240°
Question
This table shows the time spent by Alex on various activities in one day.Activity Time spent in hoursSleeping 8Studying 10Playing 2Watching TV 1Others 3Question promptAlex will draw a pie-chart of the information in the table.What angle is needed for the sector on studying?Question response areaSelect one option 10° 36°150°240°
Solution
To find the angle needed for the sector on studying, we first need to calculate the total time spent by Alex on all activities.
From the table, we can see that Alex spent:
- 8 hours sleeping
- 10 hours studying
- 2 hours playing
- 1 hour watching TV
- 3 hours on other activities
Adding these up, we get a total of 24 hours.
Next, we need to find out what fraction of the total time was spent on studying. This is done by dividing the time spent on studying by the total time. So, 10 hours (studying) divided by 24 hours (total) equals approximately 0.4167.
Finally, to find the angle for the sector on studying in the pie chart, we multiply this fraction by the total number of degrees in a circle, which is 360 degrees. So, 0.4167 times 360 equals approximately 150 degrees.
So, the angle needed for the sector on studying is 150°.
Similar Questions
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