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Question: The number of hours, spent by a school boy in different activities in a working day, is given below:...

The number of hours, spent by a school boy in different activities in a working day, is given below:

ActivitiesNumber of hours
Sleep88
School77
Home44
Play22
Other33
Total2424

Present the information in the form of a pie-chart.

Explanation

Solution

In this question, we are given a table which states the number of hours a boy spends doing the various activities in the entire day and we have been asked to draw a pie chart out of the given information. At first, find out the degrees of each sector by putting the information in the formula Given dataTotal value of data×360\Rightarrow \dfrac{{{\text{Given data}}}}{{{\text{Total value of data}}}} \times 360^\circ. After you have all the degrees, plot them in a pie chart. You can also color them if you want.

Complete step-by-step solution:
We are given a table stating the number of hours a boy spends doing the given activities in the entire day. We are asked to draw a pie chart out of the given information.
Before calculating the degrees covered by each activity, let us know the formula which will help us in doing so.
Given dataTotal value of data×360\Rightarrow \dfrac{{{\text{Given data}}}}{{{\text{Total value of data}}}} \times 360^\circ
Let us start calculating each of the following one by one:

ActivitiesNumber of hoursAngle
Sleep88824×360=120\dfrac{8}{{24}} \times 360^\circ = 120^\circ
School77724×360=105\dfrac{7}{{24}} \times 360^\circ = 105^\circ
Home44424×360=60\dfrac{4}{{24}} \times 360^\circ = 60^\circ
Play22224×360=30\dfrac{2}{{24}} \times 360^\circ = 30^\circ
Other33324×360=45\dfrac{3}{{24}} \times 360^\circ = 45^\circ
Total2424360360^\circ

Now we have got the angles of all the activities and now we can plot them in the pie chart. To do so, follow the following steps:
Step 1: Draw a circle of whatever radius you feel is comfortable and draw a radius.
Step 2: Start with drawing any angle by taking the radius as an arm of the angle and the center as vertex.
Step 3: Construct other sectors by taking the arm of the pre-constructed angle and make the pie-chart.
Step 4: Label each sector with the given name as shown below:

Note: A pie chart (or a circle chart) is a circular statistical graphic, which is divided into slices to illustrate numerical proportion. In a pie chart, the arc length or each slice (and consequently its central angle and area), is proportional to the quantity it represents. While it is named for its resemblance to a pie which has been sliced, there are variations on the way it can be presented.
The students can also color the sectors with different colors to make sectors look more differentiated and attractive.