question 6: a person spends his time on different activities daily (in hours):\n|activity|office…

question 6: a person spends his time on different activities daily (in hours):\n|activity|office work|exercise|travelling|watching shows|sleeping|miscellaneous|\n|--|--|--|--|--|--|--|\n|number of hours|9|1|2|3|7|2|\ndraw a pie chart for this information.

question 6: a person spends his time on different activities daily (in hours):\n|activity|office work|exercise|travelling|watching shows|sleeping|miscellaneous|\n|--|--|--|--|--|--|--|\n|number of hours|9|1|2|3|7|2|\ndraw a pie chart for this information.

Answer

Explanation:

Step1: Calculate total hours

$9 + 1+2 + 3+7 + 2=24$ (hours)

Step2: Calculate central - angle for each activity

Office Work

The proportion of office - work time is $\frac{9}{24}$, and the central - angle is $\frac{9}{24}\times360^{\circ}=135^{\circ}$

Exercise

The proportion of exercise time is $\frac{1}{24}$, and the central - angle is $\frac{1}{24}\times360^{\circ}=15^{\circ}$

Travelling

The proportion of travelling time is $\frac{2}{24}$, and the central - angle is $\frac{2}{24}\times360^{\circ}=30^{\circ}$

Watching shows

The proportion of watching - shows time is $\frac{3}{24}$, and the central - angle is $\frac{3}{24}\times360^{\circ}=45^{\circ}$

Sleeping

The proportion of sleeping time is $\frac{7}{24}$, and the central - angle is $\frac{7}{24}\times360^{\circ}=105^{\circ}$

Miscellaneous

The proportion of miscellaneous time is $\frac{2}{24}$, and the central - angle is $\frac{2}{24}\times360^{\circ}=30^{\circ}$

Step3: Draw the pie - chart

Use a protractor to draw sectors with the above - calculated central - angles in a circle and label each sector with the corresponding activity name.

Answer:

Draw a circle. Then, using a protractor, draw sectors with central - angles $135^{\circ}$ (Office Work), $15^{\circ}$ (Exercise), $30^{\circ}$ (Travelling), $45^{\circ}$ (Watching shows), $105^{\circ}$ (Sleeping), and $30^{\circ}$ (Miscellaneous) respectively and label them.