Question 13 Marks
Draw a pie chart of the data given below The time spent by a child during a day.
| Sleep | 8 h |
| School | 6 h |
| Home work | 4 h |
| Play | 4 h |
| Others | 2 h |
Answer
View full question & answer→We know that total angle at the centre of a circle is $360^{\circ}$.
$\text { Fraction part for sleep }=\frac{\text { Hours for sleep }}{\text { Total hours }}$
$=\frac{8}{24}=\frac{1}{3}$
$\therefore$ Central angle of sector for sleep $=\frac{1}{3} \times 360^{\circ}=120^{\circ}$
Similarly, for other central angle, we get the following table:
First, we find the central angle corresponding to given activities.
Now, draw a circle and divide it into sectors with corresponding central angle, we get the required pie chart given below :
$\text { Fraction part for sleep }=\frac{\text { Hours for sleep }}{\text { Total hours }}$
$=\frac{8}{24}=\frac{1}{3}$
$\therefore$ Central angle of sector for sleep $=\frac{1}{3} \times 360^{\circ}=120^{\circ}$
Similarly, for other central angle, we get the following table:
First, we find the central angle corresponding to given activities.
| Activitles | Hours | Fraction parts | Central angles |
| Sleep | 8 | $\frac{8}{24}=\frac{1}{3}$ | $\frac{1}{3} \times 360^{\circ}=120^{\circ}$ |
| School | 6 | $\frac{6}{24}=\frac{1}{4}$ | $\frac{1}{4} \times 360^{\circ}=90^{\circ}$ |
| Home work | 4 | $\frac{4}{24}=\frac{1}{6}$ | $\frac{1}{6} \times 360^{\circ}=60^{\circ}$ |
| Paly | 4 | $\frac{4}{24}=\frac{1}{6}$ | $\frac{1}{6} \times 360^{\circ}=60^{\circ}$ |
| Others | 2 | $\frac{2}{24}=\frac{1}{12}$ | $\frac{1}{12} \times 360^{\circ}=30^{\circ}$ |
