Question

Draw a pie chart of the data given below: the time spent by a child during a day:

Activities	Time spent
Sleep	8 hrs
School	6 hrs
Homework	4 hrs
Play	4 hrs
Others	2 hrs

Answer 1

Hint: Pie chart is pictorial form of showing data in given proportion. In the pie chart each section of it is drawn according to their proportion coming in a given set of data.
This set of data is converted into area of circle in terms of angle of circle.

Complete step-by-step answer:
1.First calculate the total time spent by a child in a day. That is,
 ${l}
 = 8 + 6 + 4 + 4 + 2\\
 = 24\,{\rm{hrs}}
$
2. Determine the area for each activity in the pie chart. It is the ratio of time spent on each activity to the total time in a day.
This ratio is converted to circle area by multiplying with $360^\circ $ because the angle of the circle is $360^\circ $.
Sleep = 8 hrs
${l}
 = \dfrac{8}{{24}} \times 360\\
 = 120^\circ
$
School = 6 hrs
${l}
 = \dfrac{6}{{24}} \times 360\\
 = 90^\circ
$
Homework = 4 hrs
${l}
 = \dfrac{4}{{24}} \times 360\\
 = 60^\circ
$
Play = 4 hrs
${l}
 = \dfrac{4}{{24}} \times 360\\
 = 60^\circ
$
Others = 2 hrs
${l}
 = \dfrac{2}{{24}} \times 360\\
 = 30^\circ
$
3. From the above step we determine the angle for each activity done by a child in a day, for further procedure you have to draw a circle.
4. Draw a baseline in this circle which passes through the centre.
5. Now, measure angles one by one for each activity with the help of a protractor.
6. after measuring the angles of them draw the line and join them with the periphery of the circle.
7. We can write the name of activity in each section of the pie chart for better understanding with their angle measurement.

Note: Remember that the ratio of time for an activity should be multiplied by the angle of the circle for changing it into degrees of circle. It is necessary to make the pie chart.